Answer the following questions about the information and the figure shown below: (a) What is the slope of line MN? (b) What is the slope of line NP? Given: MN, NP, Points M(-3,4), N(1,4), P(1,0) X M N

An angle is produced at the point where two or more lines meet. Thus the value of LP required in the question is approximately 14.

Two lines are said to be perpendicular when a measure of the angle between them is a right angle. While parallel lines are lines that do not meet even when extended to infinity.

From the question, let the length of LP be represented by x.

Thus, from the given question, it can be deduced that;

LM ≅ PN = 20

KP = KN - PN

    = 30 - 20

KP = 10

LP = x

Also,

<MLP is a right angle, so that;

< KLP = < KLM - <PLM

         = 126 - 90

<KLP = \(36^{o}\)

So that applying the Pythagoras theorem to triangle KLP, we have;

Tan θ = \(\frac{opposite}{adjacent}\)

Tan 36 = \(\frac{10}{x}\)

x = \(\frac{10}{Tan 36}\)

  = \(\frac{10}{0.7265}\)

x = 13.765

Therefore the side LP ≅ 14.

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Answer:

The winter season is occurring in the northern hemisphere right now because the northern hemisphere is not facing directly at the sun which makes it colder over there.

Answer: C

Step-by-step explanation:

1. divide 3 by 2 to find out how many pounds of blueberries she picked each day. 3/2 is 1.5

2. multiply 1.5 by 16 to convert to ounces. 1.5x16 is 24.

3. she picked 24 ounces of blueberries each day.

Answer:

\(\boxed {f(x) = x^{2} - 6x + 1}\)

Step-by-step explanation:

Substituting each x value and checking it corresponds to the table :

x = -6

⇒ f(-6) = (-6)² - 6(-6) + 1

⇒ f(-6) = 36 + 36 + 1

⇒ f(-6) = 73

x = -2

⇒ f(-2) = (-2)² - 6(-2) + 1

⇒ f(-2) = 4 + 12 + 1

⇒ f(-2) = 17

x = 2

⇒ f(2) = (2)² - 6(2) + 1

⇒ f(2) = 4 - 12 + 1

⇒ f(2) = -7

x = 6

⇒ f(6) = (6)² - 6(6) + 1

⇒ f(6) = 36 - 36 + 1

⇒ f(6) = 1

x = 10

⇒ f(10) = (10)² - 6(10) + 1

⇒ f(10) = 100 - 60 + 1

⇒ f(10) = 41

Answer:

Your answer is.....

Student ticket = 513

General ticket = 487

Mark it as brainlist answer . follow me for more answer.

Step-by-step explanation:

Answer:

The correct answers are:

xii) (x+7)(x+7)

=x^2 +7x +7x +49

=x^2 +14x +49

xiv) (x+4)(x+2)

=x^2 +2x +4x +8

=x^2 +6x +8

xvi) 5x^3 ÷ 5x^3

=1

Answer:

This is your answer ☺️☺️

1.) The 50% of R100 = R50

2.) The 0.5 of R100 = R50

3.) The ½ of R100 = R50.

Percentage is defined as the part of a whole which is represented per 100 and the symbol which is used is %.

Therefore, is can be concluded since the same value was gotten that 50% = 0.5 = ½.

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The most appropriate choice for factorization will be given by-

(x +2)(x  + 3)(2x - 1) is the factorization of f(x) = 2x³+9x²+7x-6

x = -2, -3, \(\frac{1}{2}\) are the solutions of f(x) = 0

What is factorization?

Factorization is the process of breaking down of an algebraic expression into product of algebraic expressions of smaller degree.

Each algebraic expression of smaller degree are called factors

Here,

Vanishing method will be used

f(x) =  2x³+9x²+7x-6

\(f(-2) = 2(-2)^3 + 9(-2)^2 + 7(-2) -6\\= -16 + 36 -14 -6\\ = 0\)

(x + 2) is a factor of f(x)

\(f(x)\) \(= 2x^2(x + 2) + 5x(x + 2) - 3(x + 2)\)

     \(= (x + 2)(2x^2 + 5x - 3) \\ = (x + 2)(2x^2 + 6x - x - 3) \\ = (x + 2)[2x(x + 3) - 1(x + 3)] \\ = (x + 2)(x + 3)(2x - 1)\)

For solving f(x) = 0

x +2 = 0 or x + 3 = 0 or 2x - 1 = 0

x = -2 or x = -3 or x = \(\frac{1}{2}\) are the solutions of f(x) = 0

This is the required factorization of f(x)

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To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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Answer:

1023/4

Step-by-step explanation:

shown in the picture

Hey buddy I am here to help!

Red = 8

blue = 6

greem = 4

total = 18

probability of blue marble = 6/18 = 1/3

Answer:

I think it is 1/3

Step-by-step explanation:

you have 18 ways to pick one marble in the bag and have 6 ways to pick a blue marble so the probability that the marble will be blue is 6/18=1/3

Answer:

C

(second to bottom)

since it has 3 out of 10 ticks marked

and 30% = 3/10

The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.

The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.

To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.

Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.

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Answer:

10

Step-by-step explanation:

The formula for distance is [ √(x2 - x1)^2 + (y2 - y1)^2 ]

√(7 - (-1))^2 + (10 - 4)^2

√(8)^2 + (6)^2

√64 + 36

√100

10

Best of Luck!

Let's assume the number of cookies Lily bought is represented by "C," and the number of brownies is represented by "B."

According to the problem, the cost of one cookie is $2, and the cost of one brownie is $3. Lily spent a total of $144.

We can set up two equations based on the given information:

C + B = 60 (equation 1, representing the total number of sweets)

2C + 3B = 144 (equation 2, representing the total cost in dollars)

To solve this system of equations, we can use substitution or elimination method. Here, we'll use the substitution method.

From equation 1, we can rewrite it as C = 60 - B.

Now substitute this value of C in equation 2:

2(60 - B) + 3B = 144

Simplify the equation:

120 - 2B + 3B = 144

Combine like terms:

120 + B = 144

Subtract 120 from both sides:

B = 144 - 120

B = 24

Now substitute the value of B back into equation 1 to find C:

C + 24 = 60

C = 60 - 24

C = 36

Therefore, Lily bought 36 cookies and 24 brownies.

Answer:

x ≥ -1/2

Step-by-step explanation:

We know that we cannot graph imaginary numbers. Therefore, our x value has to be greater than or equal to 0:

To find our domain, we need to set the square root equal to zero:

√(4x + 2) = 0

4x + 2 = 0

4x = -2

x = -1/2

We now know that no value below -1/2 can be used or we will get an imaginary number. Therefore, our answer is x ≥ -1/2

Alternatively, we can graph the function and analyze domain:

The ratio of rainy days to total days written as a percent will be 75%.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Ratio is used to compare two or more numbers. It is also used to indicate how big or small a quantity is when it is compared to another. It should be noted that in a ratio, two quantities are compared using division.

Since in the last 24 days, it rained 18 days.

Number of rainy days = 18.

Number of total days = 24

The ratio of rainy days to total days written as a percent will be:

= Number of rainy days / Total days × 100

= 18/24 × 100

= 3/4 × 100

= 75%

Therefore, the ratio is 3:4 which is 75%.

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The time to take the money to triple is, 15.2 years

We have to given that;

It is invested $9000 in an account earning 7.5% interest compounded continuously.

Hence, We can formulate;

27,000 = 9000 (1 + 7.5/100)ⁿ

3 = (1 + 0.075)ⁿ

3 = (1.075)ⁿ

log 3 = n log (1.075)

0.477 = n x 0.0314

n = 0.477 / 0.0314

n = 15.2 years

Thus, The time to take the money to triple is, 15.2 years

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Answer: 22 divided by 40 would equal 0.55.

Answer:

The boat weighs 5000 pounds

9514 1404 393

Answer:

  right table

Step-by-step explanation:

There are a couple of ways you can go at this. Perhaps one of the easiest is to see if the y-values have the same ratio as the x-values.

Left Table

  y1/y2 = (12/5)/3) = 12/15 = 4/5

  x1/x2 = 9/10 ≠ 4/5 . . . . . relationship is not proportional

__

Right Table

If the table represents a proportional relationship, the ratio of y to x will be the same for all entries.

  y1/x1 = (6/5)/2 = 3/5

  y2/x2 = (18/5)/6 = 3/5

  y3/x3 = 9/15 = 3/5

The constant of proportionality (k) is the ratio of y to x:

  k = y/x = 3/5

The proportional relationship the table shows is y = 3/5x.

The measures of angle ACB and angle ABC are 40° and 63° respectively

From the information given, we have that angle DAB is on a straight line

But angle D is 103°

Remember that angles on a straight line sum up to 180°

Then,

103° + Angle A = 180°

Angle A = 180 - 103

Angle A = 77°

It is important to note that sum of angles in a triangle is 180°

angle ACB + angle ABC + angle CAB = 180°

Where;

Substitute into the formula

3x - 14 + 3x + 9 + 77 = 180

collect like terms

3x + 3x = 180 - 72

6x = 108

Make 'x' the subject

x = 108/6

x = 18

But;

Angle ACB = 3x - 14 = 3(18) - 14 = 54 - 14 = 40°

Angle ABC = 3x + 9 = 3(14) + 9 = 54 + 9 = 63°

Thus, the measures of angle ACB and angle ABC are 40° and 63° respectively.

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Answer:

16.11 (appx.)

Step-by-step explanation:

since l and m are parallel and a line intersects them, so we can say that the line is the transversal. from the figure we see that

7x + 12 = 12x - 28 [they are internal alternate angles and alternate angles are always equal to one another]

now, we can find the value of x from the equation

12x - 7x = 28 + 12

⇒ 5x = 40

⇒ x = 8

so the angle (7x+12)° is ((7*8)+12) = 68°

so (12x-28)° is also equal to 68° [cause of being alternate angles]

now, look at the figure,

angle (9y-77)° & (12x-28)° add upto a straight line as in 180°

and we know (12x-28)° = 68°

so now,

9y-77 = 68

⇒9y = 68+77

⇒9y = 145

⇒y = 16.11 (appx.)

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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Answer:

386.8

Step-by-step explanation:

pretty sure thats it

Answer:

386.8888 .. ...

Step-by-step explanation:

3482/9

Answer:

The scale factor is now 3

Step-by-step explanation:

6/2=3

12/4=3

The smaller square was increased by the scale factor of 3

Answer:

$ 15

Step-by-step explanation:

Total cost =$101

Total cost for poster paper=$11

Total cost for marker =?

Total cost of marker $101-$11=$90

Each pack of permanent marker =?

There are 6 markers

so

$90÷ 6=$15

each pack of permanent marker=$15