What’s the new value of x ? ! PLEASE help !!!!!!! Will mark BRIANLIEST !!!!!!!!!!!!!

Whats The New Value Of X ? ! PLEASE Help !!!!!!! Will Mark BRIANLIEST !!!!!!!!!!!!!

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Answer 1

Answer:

57

Step-by-step explanation:


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This is it .. I’m confused please help

This is it .. Im confused please help

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Answer:

Its C, think a e and c its angle is about 150 degree

s

I need to figure out the height of the house using these measurements.
She's standing 11 feet from the house, her eyes are 5 feet from the ground, and the angle of elevation for the house is 125 degrees. Please help quickly. I also need to show my work for this problem.

I need to figure out the height of the house using these measurements. She's standing 11 feet from the

Answers

The height of the house with an angel of elevation 25° from the line of sight of the observer is equal to 10 ft to the nearest foot.

What is an angle of elevation

The angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.

The height of the house is the sum of length from her eyes to the ground and the perpendicular length from her eyes to the top of the house.

we shall represent the perpendicular length from her eyes to the top of the house with x so that;

tan 25° = x/11 {opposite/adjacent}

x = 11 × tan 25°

x = 5.1294

height of the house = 5 ft + 5.1294 ft

height of the house = 10.1294 ft

Therefore, the height of the house with an angel of elevation 25° from the line of sight of the observer is equal to 10 ft to the nearest foot.

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Possible question:

Figure out the height of the house using these measurements. She's standing 11 feet from the house, her eyes are 5 feet from the ground, and the angle of elevation to the top of house is 25 degrees.

A 10m by 7m pond is going to be surrounded with a flower bed of uniform width. The combined area of the pond and flower bed will be 180m^2. Find the width of the flower bed.

Answers

The width of the flower bed is approximately 1.4m.

To solve this problem, we need to use the formula for the area of a rectangle: A = L x W, where A is the area, L is the length, and W is the width.

Let's start by finding the area of the pond:
A pond = 10m x 7m = 70m^2

Next, we need to find the total area of the pond and the flower bed combined. We are given that this area is 180m^2:
A total = A pond + A flower bed
\(180m^2 = 70m^2 + A flower bed\)
\(110m^2 = A flower bed\)

Now we can use the formula for the area of a rectangle again to find the width of the flower bed:
A flower bed = L x W
\(110m^2 = (10m + 2x) (7m + 2x)\)
\(110m^2 = 70m^2 + 20xm + 14xm + 4x^2\)

Simplifying and rearranging, we get:
\(4x^2 + 34xm + 40m^2 - 110m^2 = 0\)
\(4x^2 + 34xm - 70m^2 = 0\)

Dividing both sides by 2, we get:
\(2x^2 + 17xm - 35m^2 = 0\)

Now we can use the quadratic formula to solve for x:
\(x= \frac{-b±\sqrt{(x^{2})-4ac } }{2a}\)
Where a = 2, b = 17m, and \(c = -35m^2\).

Plugging these values in, we get:
\(x =\frac{ (-17m ± \sqrt{17(m)^{2}+280(m)^{2}  } }{4}\)
\(x= \frac{(-17m ±\sqrt{697} )}{4}\)

Since the width of the flower bed can't be negative, we take only the positive root:
\(x= \frac{(-17m +\sqrt{697} )}{4}\)
x = 1.4m

Therefore, the width of the flower bed is approximately 1.4m.

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suppose u is a uniform(0, 1) random variable. consider f-1(u), where f-1(.) is the inverse of the cdf of the random variable x. so, f-1(u) is a transformation of u. assume f-1(.) is strictly increasing. what is the distribution of f-1(u)?

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The distribution of the given function is a uniform distribution.

A strictly increasing function is the one which increases continuously in a given interval. If f-1(u) is a strictly increasing function of u, then the distribution of f-1(u) is the same as that of u. This is because a strictly increasing function preserves the rank ordering of its input, so if u-1 and u-2 are two random variables with a uniform distribution on the interval (0,1), then the rank order of f-1(u-1) and f-1(u-2) will be the same as the rank order of u-1 and u-2. Since the uniform distribution is defined by the rank order of its values, this means that the distribution of f-1(u) is also uniform on the interval (0,1).

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Cycle city charges an initial price of $15 plus $0.75 per hour for bike rentals, which is represented by the expression 15 + 0.75h

The variable H represents The cost per hour? Or the number of hours?

The constant 15 represents the initial rental price or the number of hours?

The variable term 0.75h represents, the hourly rental amount or the number of hours?

Answers

Answer: kindly check explanation

Step-by-step explanation:

Given the following :

Charge for bike rental :

initial price = $15

Additional charge = $0.75 per hour

Expression to model the above :

15 + 0.75h

The variable H represents The cost per hour? Or the number of hours?

The variable h in the expression is the number of hours,

Since the additional charge rate is $0.75 per hour, $0.75 for each hour of bike rental

The constant 15 represents the initial rental price or the number of hours?

$15 represents the initial price being paid to rent a bike

The variable term 0.75h represents, the hourly rental amount or the number of hours?

Multiply the amount charged per hour by the number of hours gives us the total additional amount charged for the number of hours biked

The expression that can be used to solve the question will be H = 15 + 0.75h.

The expression to solve the question will be H = 15 + 0.75h.

where,

H = cost per hour.15 = the initial rental price 0.75h = the hourly rental

Therefore, let's say we want to find the cost for 4 hours. This will be:

H = 15 + 0.75h.

H = 15 + 0.75(4)

H = 15 + 3

H = 18

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f(r)=3.14r2 what is f(7)?

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Hi :)

f(r) = 3.14r2

f(7) = 3.14(7)(2)

f(7) = 43.96

Investing in a savings account at annual interest compounded monthly will result in approximately how much money after years? use the formula:

Answers

Amount of money in the savings account after 5 years.

To calculate the amount of money in a savings account after a certain number of years with annual interest compounded monthly, you can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:
A = the final amount
P = the principal (initial amount)
r = annual interest rate (as a decimal)
n = number of times the interest is compounded per year
t = number of years

Let's assume the principal amount is $1,000, the annual interest rate is 5%, and the interest is compounded monthly (n = 12).

Using the formula, we have:
A = 1000(1 + 0.05/12)^(12t)

Now, let's say we want to calculate the amount after 5 years.

A = 1000(1 + 0.05/12)^(12*5)

Calculating this expression will give you the approximate amount of money in the savings account after 5 years.

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sara is making gift baskets to share with her co-workers. she has gathered 24 movies, 48 packages of popcorn, and 18 boxes of candy. what is the greatest number of baskets that can be made if each basket has an equal number of each of these three items? :

Answers

The greatest number of baskets that can be made with 24 movies, 48 packages of popcorn, and 18 boxes of candy is 6.

This is determined by finding the greatest common factor (GCF) of each item. The GCF of 24, 48, and 18 is 6. This means that 6 is the greatest number of baskets that can be made if each basket has an equal number of each of the three items.

To calculate the GCF, the prime factors of each number must be determined. The prime factors of 24 are 2 and 3 (2 x 2 x 2 x 3). The prime factors of 48 are 2 and 3 (2 x 2 x 2 x 2 x 3). The prime factors of 18 are 2 and 3 (2 x 3 x 3).

To determine the GCF, the highest power of each prime factor must be determined. In this case, the highest power of each prime factor is 3 (2 x 2 x 2 x 3). Therefore, the GCF of 24, 48, and 18 is 6. This means that the greatest number of baskets that can be made with the given items is 6.

In conclusion, the greatest number of baskets that can be made with 24 movies, 48 packages of popcorn, and 18 boxes of candy is 6. This is determined by finding the greatest common factor (GCF) of each item. The GCF of 24, 48, and 18 is 6, which means that 6 is the greatest number of baskets that can be made if each basket has an equal number of each of the three items.

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the operation of matrix-vecotr multiplication is linear since the properties a(u v) = au av and a(cu) = c(au) hold for all vectors u and v

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Matrix-vector multiplication is a linear operation because it satisfies the properties of scalar multiplication and vector addition, which are a(u+v) = au + av and a(cu) = cau, where a is a scalar and u and v are vectors.

Matrix-vector multiplication is a fundamental operation in linear algebra, where a matrix is multiplied by a vector to produce another vector. This operation is considered linear because it adheres to certain properties.

The first property is scalar multiplication, which states that multiplying a vector u by a scalar a and adding it to another vector v (a(u+v)) is equivalent to multiplying u by a (au) and v by a (av) separately and then adding the results (au + av). In other words, the operation distributes over vector addition.

The second property is the distributive property of scalar multiplication, which states that multiplying a vector u by a scalar c and then multiplying the resulting vector (cu) by another scalar a is equivalent to multiplying u by the product of the two scalars (cau). This property allows the scalar multiplication to be distributed over scalar multiplication.

These properties ensure that matrix-vector multiplication preserves the linearity of the underlying vector space. They enable the manipulation and analysis of systems of linear equations, transformations, and other mathematical operations involving matrices and vectors.

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An airplane covered the ff. distances in three separate trips.
Hongkong-Manila: 1116 kilometers
Singapore-Manila: 2391 kilometers
Korea-Manila: 2601 kilometers

A. What is the average distance traveled by the airplane in the three trips?

B. If the airplane travels with an average speed of 760km/h, how long will it take the airplane to travel in each flight? which trip took the longest time to travel?

Answers

The average distance that the airplane covered in three flights is = 2036 kilometers,

From Hong Kong to Manila travel time is = 1.468 hours,

From Singapore to Manila travel time is = 3.146 hours,

From Korea to Manila travel time is = 3.422 hours and the trip from Korea to Manila took longest time to travel.

The distance a plane traveled over three separate trips:

Hongkong-Manila : 1116 kilometers,

Singapore-Manila : 2391 kilometers,

Korea-Manila : 2601 kilometers.

We must determine the average distance covered by the aircraft over the course of the three journeys, the time required for each trip if the aircraft is traveling at 760 km/h, and the trip that took the longest.

The average distance flown by the aircraft across the three trips

= \(\frac{1116+2391+2601}{3}\)

= \(\frac{6108}{3}\)

= 2036 kilometers

We know that,

Speed = distance/time.

So,

We can write,

Time = Distance/speed

From Hong Kong to Manila travel time = 1116/760

= 1.468 hours

From Singapore to Manila travel time = 2391/760

= 3.146 hours

From Korea to Manila travel time = 2601/760

= 3.422 hours

We can observe that the trip from Korea to Manila took longest time to travel.

Therefore,

The average distance that the airplane covered in three flights is 2036 kilometers,

From Hong Kong to Manila travel time is 1.468 hours,

From Singapore to Manila travel time is 3.146 hours,

From Korea to Manila travel time is 3.422 hours and the trip from Korea to Manila took longest time to travel.

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Which values are in the solution set of the inequality -23x+13≥-1?

Answers

Answer:

x = 0

Step-by-step explanation:

-23 × 0 = 0

0 + 13 = 13

13 > -1

A 255-inch board is cut into two pieces. One piece is four times the Length of the other. Find the length of the shorter piece

Answers

Answer:

51

Step-by-step explanation:

the small one is 51 then u add 4 times that amount for the big on and 51 x 4 is 204 then when u add 51 you get 255.

I NEED HELP QUICKLY for both X

I NEED HELP QUICKLY for both X

Answers

The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)  or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

How to solve quadratic equation?

The quadratic formula can be use to solve the quadratic equation as follows:

x² - 4x + 4 = 0

Modelling it to quadratic equation, ax² + bx + c

Hence,

using quadratic formula,

\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

where

a, b and c are the coefficient in the equation

Hence,

a = 1

b = -4

c = 4

Therefore,

\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

Finally

x = 2

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$1200 are invested for three years at 6% compound interest.

a) How much is the investment worth at the end of three years?

b) How much interest has been earned?

Answers

Answer:

I think its A 1200

Step-by-step explanation:

Trident Food Corporation generated the following income statement for the most recent fiscal year, which ended December 31, 2015:
Sales revenues
$150,000
Variable cost of sales
(112,500)
Gross profit
37,500
Fixed operating costs
(24,000)
Net operating income (EBIT)
13,500
Interest
(10,000)
Earnings before taxes
3,500
Taxes (40%)
(1,400)
Net income
2,100
Each item of inventory Trident Foods produces has a selling price of $20.
What is the degree of operating leverage, degree of financing leverage, and the degree of total leverage for Trident Foods?
a.
8.39, 5.11, and 42.86
b.
2.78, 3.86, and 10.71
c.
3.59, 3.86, and 13.86
d.
2.78, 4.52, and 12.57
e.
2.31, 2.78, and 6.43

Answers

The degree of operating leverage, degree of financing leverage, and the degree of total leverage for Trident Foods is 2.78, 4.52, and 12.57.

So, the correct answer is D.

What is Degree of Operating Leverage?

Degree of operating leverage can be defined as the percentage change in net operating income divided by the percentage change in sales.

The formula for Degree of Operating Leverage is as follows;

Percentage change in net operating income / percentage change in sales.

Using the above formula;

Percentage change in net operating income = EBIT (Earnings before interest and taxes) × percentage change in sales Percentage change in net operating income = $13,500 × (Sales revenues)

Percentage change in sales

Degree of operating leverage = Percentage change in net operating income / percentage change in sales

Degree of operating leverage = $13,500 / $150,000 = 0.09 or 9% (Rounded off to two decimal places)

What is Degree of Financing Leverage?

Degree of financing leverage is the percentage change in EPS (Earnings per share) for a given percentage change in EBIT (Earnings before interest and taxes).

The formula for Degree of Financing Leverage is as follows;

Percentage change in EPS / percentage change in EBIT.

Using the above formula;

Percentage change in EPS = percentage change in EBIT × (EBIT − Interest) − Taxes (1 − Tax rate)

Average number of shares

Percentage change in EPS = EBIT / Interest × (EBIT − Interest) − Taxes (1 − Tax rate)

Average number of shares

Percentage change in EPS = $13,500 / $10,000 × ($13,500 − $10,000) − $1,400(1 − 0.4) / 4,000

Percentage change in EPS = 0.35 or 35% (Rounded off to two decimal places)

What is Degree of Total Leverage?

Degree of Total Leverage is the percentage change in EPS (Earnings per share) for a given percentage change in sales.

The formula for Degree of Total Leverage is as follows;

Percentage change in EPS / percentage change in sales

Using the above formula;

Percentage change in EPS = Percentage change in EBIT × Degree of financing leverage

Percentage change in EPS = 0.09 × 3.86Percentage change in EPS = 0.3474 or 34.74% (Rounded off to two decimal places)

Degree of Total Leverage = Percentage change in EPS / percentage change in sales

Degree of Total Leverage = 0.3474 / 0.027 = 12.57 (Rounded off to two decimal places)

Therefore, the degree of operating leverage, degree of financing leverage, and the degree of total leverage for Trident Foods is 2.78, 4.52, and 12.57. The correct option is (d).

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Answer any of the questions you dont have to do all but it would help a lot <3

Answer any of the questions you dont have to do all but it would help a lot &lt;3

Answers

Answer:

DIY

Step-by-step explanation:

Although I would like to help you, you would have to do this yourself.

All you need to do is:

1. Use a ruler and measure the distance from the first location to the second location.  *make sure to use the inch side.

2. Distance times 170. *Your product will be in mi( unit).

Solve this equation, if answer is guessed ill report your response

Solve this equation, if answer is guessed ill report your response

Answers

Answer:

The first one is

\(x=\frac{3}{a }\)

The second one is

\(x=- \frac{a }{6 }\)

The third is

\(x=-\frac{6}{a}\)

Hope this helps, it's just simple rearrangement for x!

After 4 seconds, a launched projectile reaches a maximum height of 60 feet. the projectile is launched from a height of 12 feet. if all the experiments that followed met or exceeded this path, which quadratic inequality in standard form contains the points in the later experiments? y ≥ –3x2 24x 12 y ≥ 3x2 – 24x – 12 y ≤ –3x2 24x 12 y ≤ 3x2 – 24x – 12

Answers

The quadratic inequality equation in standard form that contains the points in the later experiments is y ≤ - 3x² + 24x + 12.

Projectile's equation of motion

The following equation is used to compute the projectile's motion:

h = h(0) + vt - ¹/₂gt²

The quadratic inequality equation in standard form, which includes the points in the following experiments, is;

y ≤ - 3x² + 24x + 12

proof, when x = 4 s

y ≤ - 3(4)² + 24(4) + 12

y ≤ 60

Therefore, y = - 3x2 + 24x + 12 is the quadratic inequality equation in standard form that includes the points in the subsequent experiments.

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If J=91 ,L=16 , and K=73 , list the sides of triangle JKL in order from smallest to largest

A. JL, KJ, LK
B. LK, JL, KJ
C. KJ, JL, LK
D. KJ, LK, JL

If J=91 ,L=16 , and K=73 , list the sides of triangle JKL in order from smallest to largestA. JL, KJ,

Answers

JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.

How are the angles arranged, from greatest to smallest?JKL, where K is the specified angle, is an example.Acute Angles are the smallest angles. An acute angle is a particular kind of angle that measures less than 90°.an acute angle. The planar surface typically produces obtuse angles.Straight angle. Right angle.Subtract the squares of the other sides, then calculate the square root to determine the shorter side.Reflex angle at its widest point.JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.

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medical treatment has a success rate of .8. two patients will be treated with this treatment. assuming the results are independent for the two patients, what is the probability that neither one of them will be successfully cured?

Answers

Assuming the results of two patients are independent events, the probability that  neither one of them will be successfully cured is 0.04.

The success rate of a medical treatment means the probability the treatment will cure the patient.

Let the two patients are patient A and patient B.

From the problem:

P(A_success) = 0.8

P(B_success) = 0.8

Which means:

P(Afailed) = 1 - 0.8 = 0.2

P(Bfailed) = 1 - 0.8 = 0.2

The probability of two independent events is:

P (A∩B) = P(A) . P(B)

Therefore,

P(Afailed ∩ Bfailed) = P(Afailed) . P(Bfailed)

                                = 0.2 . 0.2 = 0.04

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which four elements comprise approximately 96% of our body weight?

Answers

The four elements that comprise approximately 96% of our body weight are oxygen, carbon, hydrogen, and nitrogen.

The four elements that comprise approximately 96% of our body weight are oxygen, carbon, hydrogen, and nitrogen.

1. Oxygen

2. Carbon

3. Hydrogen

4. Nitrogen

The four elements that comprise approximately 96% of our body weight are oxygen, carbon, hydrogen, and nitrogen. Oxygen comprises about 65% of the body, carbon about 18%, hydrogen about 10%, and nitrogen about 3%. Together, these four elements make up an estimated 96% of the total body weight.

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helpppp!!!!!! As shown in the diagram, lines m and n are cut by transversal p.

helpppp!!!!!! As shown in the diagram, lines m and n are cut by transversal p.

Answers

Step-by-step explanation:

sum of angle 1 and angle 2 is 180°

so,

4x + 14 + 8x + 10 = 180

12x + 24 = 180

12x = 180 - 24 = 156

x = 156/12 = 13

x = 13°

therefore, value of x is 13 and option C is correct.

hope this answer helps you!

5y>=75 can someone give me the answer and write how they did it?

Answers

Answer:

The answer is y = 15 (I'm pretty sure)

Step-by-step explanation:

Simplifying

5y = 75

Move all terms containing y to the left, all other terms to the right.

Divide each side by '5'.

y = 15

Simplify

y = 15

Answer:

y≥15

Step-by-step explanation:

5 times 15 = 75 so, y= y≥15

Factor the following expression completely 16x5- x3

Answers

since both terms are perfect squares, factor using the difference of squares formula a^2 -b^2= (a +b) (a -b) where a =4x and b=1 x^3 (4x+1)(4x-1)

3- Find all values of Z such that e² = 2+i√3

Answers

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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Shape A is enlarged to give Shape B

A) what is the scale factor of the enlargement
B) mark with the cross the centre of enlargement

Shape A is enlarged to give Shape B A) what is the scale factor of the enlargement B) mark with the cross

Answers

Answer:3

Step-by-step explanation:

The scale factor of the enlargement is 3

A line is shown on the coordinate grid. Which equation can be used to represent the relationship between x and y for the points on the line?

y = 3x -2
y = 2x - 3
y = 1/3x - 2
y = x - 2

A line is shown on the coordinate grid. Which equation can be used to represent the relationship between

Answers

I think it’s
-
y=3x-2


Factor each expression that can be factored. For an expression that cannot be factored into a product of two binomials, explain why. x²+2 x+1 .

Answers

The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).

What is factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ x² + 2x + 1

Factorize the expression, then the factor of the expression will be

⇒ x² + x +  x + 1

⇒ x(x + 1)x + 1(x + 1)

⇒ (x + 1)(x + 1)

⇒ (x + 1)²

The product of two binomials will be (x + 1) and (x + 1).

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Add. (7h+2)+(4h2+6h)

Answers

Answer:

21h+2

Step-by-step explanation:

(7h+2)+(4h2+6h)

7h+2+(4h*2+6h)

7h+2+(8h+6h)

7h+2+(14h)

21h+2

Answer:

4h² + 13h + 2

Step-by-step explanation:

Given

(7h + 2) + (4h² + 6h ) ← remove the parenthesis

= 7h + 2 + 4h² + 6h ← collect like terms

= 4h² + 13h + 2

The coordinates of the vertices of quadrilateral ABCD are A (8, -3), B(-2, 1), C (-4,-4), and D(6, -8).
Jorge states that quadrilateral ABCD is a parallelogram. Prove or Disprove Jorge's statement.

Answers

Yes, quadrilateral ABCD is a parallelogram.

What are the properties of parallelogram?

A parallelogram is a particular sort of polygon. It is a quadrilateral in which the opposite side pairs are parallel to one another.

Properties:

1. Opposite sides are congruent.

2. Opposite angels are congruent.

3. Consecutive angles are supplementary.

4. If one angle is right, then all angles are right.

5. The diagonals of a parallelogram bisect each other.

6. Each diagonal of a parallelogram separates it into two congruent

It is given that the coordinates of the vertices of quadrilateral ABCD are A (8, -3), B(-2, 1), C (-4,-4), and D(6, -8).

According to distance formula,

If A(a,b) and B(x,y) are two coordinates then

AB = \(\sqrt{(x-a)^{2}+(y-b)^{2}}\)

Now, using this distance formula in quadrilateral ABCD

AB = \(\sqrt{(-2-8)^{2}+(1+3)^{2}}= \sqrt{(-10)^{2}+(4)^{2}}=\sqrt{100+16}=\sqrt{116}\)

CD = \(\sqrt{(6+4)^{2}+(-8+4)^{2}}=\sqrt{10^2+(-4)^2}=\sqrt{100+16}=\sqrt{116}\)

Now, If we have two coordinates A(a,b) and B(x,y) then

Slope of AB = \(\frac{y-b}{x-a}\)

Using this formula , finding slope of AB and CD of quadrilateral ABCD we get ,

Slope of AB = \(\frac{1+3}{-2-8}=\frac{4}{-10}=\frac{2}{-5}\)

Slope of CD = \(\frac{-8+4}{6+4}=\frac{-4}{10}=\frac{-2}{5}\)

As slope of both AB and CD is equal therefore, we can say that AB and CD are parallel.

As AB = CD and AB is parallel to Cd Therefore, ABCD is a parallelogram as opposite sides of parallelogram are equal and parallel.

Hence, quadrilateral ABCD is a parallelogram.

To learn more about the parallelogram from the given link.

https://brainly.com/question/970600

#SPJ1

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