7.25y-15=21.25 what is y

The equation of line passing through (-4, -16) and (5, 2) are y = 2x – 8, y - 2 = 2(x - 5) and y + 16 = 2(x + 4)

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

The standard form for linear equation is:

y = mx + b

Where m is the slope and b is the y intercept

The equation of line passing through (5, 2) and (-4, -16) is:

y - 2 = [(-16-2)/(-4-5)](x - 5)

y - 2 = 2(x - 5)

y = 2x - 8

y + 16 = 2(x + 4)

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Step-by-step explanation:

Djdhdhdhdhhdhdhdhdbdndndnndnddndndndndndnd

Answer:

b) the graph is reflected in the x-axis, narrower and shifted 4 units up

Answer:

Step-by-step explanation:

The equation is poorly written and I cannot unfortunately solve it.

Given, P(X=15) and using the probability mass function we get

(27C15)(0.546)¹⁵(1-0.546)²⁷⁻¹⁵=0.1523

What is Probability?

Probability is simply how likely something is to happen. The occurrence of an event will be in the range of 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

What is the Probability mass function?

The probability distribution of a discrete random variable, or probability mass function, gives the potential values and the corresponding probabilities. 

According to the problem,

Let X be the random variable of interest, on this case we know that:

 X∼Binom (n=27,p=0.546)

The probability mass function for the Binomial distribution is given as:

                              P(X)=(nCx) (pˣ) (1-p)ⁿ⁻ˣ,

                              here,

                                      (nCx) =  n !/(n-x)!( x)!

For finding Probability and by using the mass function :

P(X=15) = (27C15)(0.546)¹⁵(1-0.546)²⁷⁻¹⁵ = 0.1523

The value of p will be 0.546

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Answer......

x^2+3x+1

Answer:

The answer is x^2+3x+1

Step-by-step explanation:

To prove that the triangles are congruent by ASA, the statement and reason could be used as part of the proof is option (A) ∠FGH ≅ ∠KGJ because vertical angles are congruent.

Here we have two triangle FHG and KJG,

The sides HF and the side JK are parallel

The length of the side of the HG and the length of the side JG are equal

HG ≅ JG

According to the ASA property of congruent, if the two angle and one side of the triangle are equal to the two angle and one side of the other triangle, then the both triangles are congruent

Here we have to prove that angle FHG and angle KJG are vertical angles

Here the vertical angles are congruent

Therefore, the statement that can be the part of proof is option (a) angle FGH ≅ angle KGJ because vertical angles are congruent.

I have solved the question in general, as the given question is incomplete

The complete question is:

Given: HF || JK; HG ≅ JG

Prove: FHG ≅ KJG

To prove that the triangles are congruent by ASA, which statement and reason could be used as part of the proof?

a) FGH ≅ KGJ because vertical angles are congruent.

b) JKG ≅ HFG because vertical angles are congruent.

c) FHG ≅ JKG because right angles are congruent.

d) HFG ≅ KJG because alternate interior angles are congruent.

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Answer:

n = 3

Step-by-step explanation:

1) Divide both sides by 3.5

n = 10.5/3.5

2) Simplify 10.5/3.5 to 3

n = 3

Answer:

Step-by-step explanation

Okay so lets solve step by step/

15% can be written as a  fraction: 15/100

The of in the equation means multiplying.

15/100= 3/20

3/20*9= 270/20

27/2 is answer

Answer: x=16

Step-by-step explanation:

37=2x+5

37-5=32

32/2=16

x=16

Mistake i didn’t mean to answe this

Answer:

hope it helps.

stay safe healthy and happy.

Answer:

In bold below.

Step-by-step explanation:

bf-5k=c(g+2k)

g + 2k = (bf - 5k)/c

g =  (bf - 5k)/c - 2k

I believe its Yellow

Plot twist:

The answer is actually is 16

Step-by-step explanation:

15/10 = 1.5)       24/1.5 = 16

The answer is 16

If leg a is the missing side, then transform the equation to the form where a is on one side and take a square root: a = √(c² - b²)

If leg b is unknown, then: b = √(c² - a²)

For hypotenuse c missing, the formula is: c = √(a² + b²)

Rates of change are the change of a quantity over another.

The rate of change in height of the water level is 36.51 cm per second.

Let the length of the top square be s, and the height be h.

The volume of the pyramid is:

\(\mathbf{V = \frac{1}{3}s^2h}\)

At time t, we have:

\(\mathbf{V = \frac{1}{3}s(t)^2h(t)}\)

The relationship between the side length and height is:

\(\mathbf{s : h=6 : 13}\)

Express as fractions

\(\mathbf{\frac{s }{ h}=\frac{6 }{ 13}}\)

Make s the subject

\(\mathbf{s=\frac{6 }{ 13}h}\)

So, we have:

\(\mathbf{V = \frac{1}{3}s^2(t)h(t)}\)

\(\mathbf{V = \frac{1}{3} \times (\frac{6 }{ 13}h(t))^2 \times h(t)}\)

\(\mathbf{V = \frac{1}{3} \times \frac{36}{ 169}h^2(t) \times h(t)}\)

\(\mathbf{V = \frac{1}{3} \times \frac{36}{ 169}h^3(t)}\)

Differentiate

\(\mathbf{V'(t) =3 \times \frac{1}{3} \times \frac{36}{ 169}h^2(t) \times h'(t)}\)

\(\mathbf{V'(t) =\frac{36}{ 169}h^2(t) \times h'(t)}\)

Make h'(t) the subject

\(\mathbf{h'(t) = \frac{169 \times V'(t)}{36 \times h^2(t)}}\)

The water level rises constantly at 70 cm^3/s, and the water level is 3 cm.

So, we have:

\(\mathbf{V'(t) = 70}\)

\(\mathbf{h(t) = 3}\)

\(\mathbf{h'(t) = \frac{169 \times V'(t)}{36 \times h^2(t)}}\) becomes

\(\mathbf{h'(t) = \frac{169 \times 70}{36 \times 3^2}}\)

\(\mathbf{h'(t) = \frac{169 \times 70}{36 \times 9}}\)

\(\mathbf{h'(t) = 36.51}\)

Hence, the rate of change in height of the water level is 36.51 cm per second.

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Answer:

She can buy 7 Journals

Step-by-step explanation:

9 + 3x ≤ 30

Subtract 9 on both sides...

3x ≤ 21

Divide by 3 on both sides...

x ≤ 7

Hope this helps :)

Answer:

7 journals

Step-b7 y-step explanation:

In this question, we have to find how many journals she can buy with her left over money.

We know that she has a $30 gift card. We also know that she already spent $9 of it on a frame.

With this knowledge, we know that she has $21 left on her gift card.

To find how many journals she can buy, lets set up an equation where x = the amount of journals.

3x = 21

Solve for x:

3x = 21

Divide both sides by 3

x = 7

This means that she could buy 7 journals.

9514 1404 393

Answer:

  p(x) = -x^2 +2x +24

Step-by-step explanation:

When the polynomial has a zero at x=q, it has a factor of (x -q). The zeros of -4 and 6 tell you the factors are (x -(-4)) and (x -6). The end behavior tells you the leading coefficient is negative.

  p(x) = -(x +4)(x -6)

  p(x) = -x^2 +2x +24

Answer:

93.70

Step-by-step explanation:

Answer: 12x−18

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer:

45

scalene

acute

Step-by-step explanation:

Answer: The triangle classified by the sides is 59 degrees.  The triangle is classified by the angel is 1

Step-by-step explanation:

it literally says just count them all lol just like this we see there are 9 squares correct? and there are 12 circles so the ratio is 9:12 put 9 in the first box and 12 in the next just ask me if you need more help

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;

C² = a²+b²

Where:

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The current market price for the bond is $870 the yield to maturity is 14.13%

The approximate yield to maturity of this bond is 11.25%, which is above the annual coupon rate of 10% by 1.25%. You can then use this value as the rate (r) in the following formula: C = future cash flows/coupon payments. r = discount rate (the yield to maturity)

knowing that:

the formula is:

\(P = (C / (1 + r))^1 + (C / (1 + r))^2 + ... + (C + F) / (1 + r)^n\)

Putting the values:

\($870 = (130 / (1 + r))^1 + (130 / (1 + r))^2 + ... + (130 + 1,000) / (1 + r)^13\)

Using the math we find that the percentage is  approximately 14.13%;

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The last row of the table will show the total interest paid, which is approximately $243.11.

The correct option is C.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

To calculate the total interest paid,

we need to first find out how many months it will take to pay off the entire balance.

We can use the following formula to calculate the number of months:

N = -log(1-(r×b/p))/log(1+r)

where N is the number of months, r is the monthly interest rate (which is the annual percentage rate divided by 12), b is the balance, and p is the payment.

In this case,

r = 0.1799/12 = 0.01499 (monthly interest rate), b = $1,800, and p = $125.

Plugging these values into the formula, we get:

N = -log(1-(0.01499 × 1800/125))/log(1+0.01499) ≈ 16.24

So it will take about 16.24 months to pay off the entire balance.

Using a spreadsheet, we can create a table with the following columns:

Month: 1 to 16

Balance: starting with $1,800 and decreasing by $125 each month

Interest: calculated as the monthly interest rate times the balance

Payment: $125

Total Interest: calculated as the sum of the interest for all previous months

The last row of the table will show the total interest paid, which is approximately $243.11.

Therefore, the value is (C) $243.11.

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Answer: Option C is correct $243.11

Step-by-step explanation: I got it right On the test!!!

Mai travels abοut 4.2 feet per secοnd faster than Kiran.

Circumference is the distance arοund the οutside οf a circle. It is the length οf the bοundary that enclοses a circle. Tο find the circumference οf a circle, yοu can use the fοrmula C=2πr, where "C" represents the circumference, "π" is a mathematical cοnstant (apprοximately equal tο 3.14159), and "r" is the radius οf the circle (the distance frοm the center οf the circle tο its edge). Sο, the circumference οf a circle is directly prοpοrtiοnal tο its radius. This means that if yοu dοuble the radius οf a circle, its circumference will alsο dοuble.

The circumference οf Kiran's ring is:

C1 = 2πr1 = 2π(9 ft) ≈ 56.55 ft

The circumference οf Mai's ring is:

C2 = 2πr2 = 2π(r1 + 8 ft) = 2π(17 ft) ≈ 106.81 ft

Therefοre, Mai travels a distance οf 106.81 - 56.55 = 50.26 feet mοre than Kiran in οne rοtatiοn.

The time it takes fοr οne rοtatiοn is given as 12 secοnds. Therefοre, the speed οf Kiran in feet per secοnd is:

V1 = C1 / t = 56.55 ft / 12 s ≈ 4.71 ft/s

And the speed οf Mai in feet per secοnd is:

V2 = C2 / t = 106.81 ft / 12 s ≈ 8.90 ft/s

The difference in their speeds is:

V2 - V1 = 8.90 ft/s - 4.71 ft/s ≈ 4.2 ft/s

Therefοre, Mai travels abοut 4.2 feet per secοnd faster than Kiran.

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Step-by-step explanation:

Step

\(x = - \frac{8}{11} \)

1:Expand

\(−3x−6=5x+5\)

Step 2:Add both sides 3x

\(−6=5x+5+3x\)

Step 3:Subtract 5 from both sides.

\(−6−5=8x

\)

Step 4:Simplify -6-5−6−5 to -11−11.

\(−11=8x

\)

Step 5:Divide both sides by 88.

\(x=− \frac{8}{11}

\)

I hope it helps you!!!

Answer:

the correct information is

The solution is, it is proved that, ABCD is a square, by showing it has four sides of equal length and four pairs of perpendicular sides.

A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.

here, we have,

given that,

Quadrilateral ABCD has coordinates of A(- 4, 2) , B(4, 8), C(10, 0) and D(2, - 6) .

we know,

Formula: distance= √(x_2-x_1)²+(y_2-y_1)²

now, we get,

length of AB = 10

length of BC = 10

length of CD = 10

length of DA = 10

now, again, we have,

the slope of AB = 3/4

the slope of BC = -4/3

so, we get,

as , the slope of AB * the slope of BC = 3/4 * -4/3 = -1

AB is perpendicular to BC

so, we have,  it has four sides of equal length and four pairs of perpendicular sides.

Hence,  it is proved that, ABCD is a square.

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Answer:

The length of the rectangle is of 9 units.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}\)

\(\bigtriangleup = b^{2} - 4ac\)

Area of a rectangle:

A rectangle has width \(w\) and length \(l\). The area is the multiplication of these measures, that is:

\(A = wl\)

The length of a rectangle is the sum of the width and one.

This means that \(l = w+1\), or \(w = l - 1\)

The area direct angle 72 units. What’s the length, in units, of the rectangle

We want to find the length. So

\(wl = 72\)

\((l-1)l = 72\)

\(l^2 - l - 72 = 0\)

Quadratic equation with \(a = 1, b = -1, c = -72\). So

\(\bigtriangleup = (-1)^{2} - 4(1)(-72) = 289\)

\(l_{1} = \frac{-(-1) + \sqrt{289}}{2*(1)} = 9\)

\(l_{2} = \frac{-(-1) - \sqrt{289}}{2*(1)} = -8\)

Since the length is a positive measure, the length of the rectangle is of 9 units.

Answer:

8m

Step-by-step explanation:

hope this helps

Answer:

8 Is the answer

Step-by-step explanation:

I think it helped you.

Answer:

91

Step-by-step explanation:

"When you break the pennies into groups of 2, you have 1 penny left over"

You have an odd number of pennies.

"when you break the pennies into groups of 3, you have 1 penny left over"

The number of pennies is one more than a multiple of 3.

"when you break the pennies into groups of 5, you have 1 penny left over"

A number that is divisible by 5 ends in 0 or 5. You have one more penny than that, so the number will end in 1 or 6. We already know the number is odd, so it cannot end in 6. The number of pennies must end in 1.

"when you break the pennies into groups of 7, you have NO pennies left over"

The number is a multiple of 7.

We need a multiple of 7 that ends in 1.

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, ...

You could have 91.

There are countless possibilities for shapes that are similar but not congruent to shape 1, as long as they maintain the same proportions and shape.

There are many shapes that are similar but not congruent to shape 1. Similar shapes have the same shape, but their sizes may be different. In contrast, congruent shapes have the same shape and size.

One example of a similar shape to shape 1 is a rectangle that is twice as long and half as wide. Another example could be a square that is three times larger in area than shape 1.

A parallelogram that has the same base as shape 1 but is three times as tall is also similar but not congruent.

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Answer:

The answer is 4√3 - 6

Steps

(8√6mn + 6√8mn ) / 2√2mn

Factor out 2√mn from the expression

That's

2√mn × ( 4√6 - 3√8) / 2√2mn

Next reduce the fraction with 2

We have

√mn × ( 4√6 - 3√8) / √2mn

Factor √2 from the denominator

√mn × ( 4√6 - 3√8) / √2(√mn)

√mn will cancel each other

we get

( 4√6 - 3√8) / √2

Simplify the radical expression

That's

( 4√6 - 3× 2√2) / √2

= ( 4√6 - 6√2) / √2

Rationalize the surd

We get

( 4√6 - 6√2) / √2 × (√2 / √2)

= ( 4√6 - 6√2) (√2) / (√2)²

= 4√12 - 12 / 2

= (8 √3 - 12) / 2

Factor out 2 from the numerator

That's

2( 4 √ 3 - 6 ) /2

2 will cancel each other

so the final answer will be

4√3 - 6

Hope this helps you