Write the equation of the line in fully simplified slope-intercept form

Step-by-step explanation:

Let's complete the square

x²-8x=-20

x²-8x+(-4)²=-20+(-4)²

x²+(-4)²=-20+16

(x-4)²=-4

(x-4)²+4

where a is an integer as required

Answer:

30 percent

Step-by-step explanation:

That is not rounded. Just straight, plain, 30 percent.

Answer:

-20

Step-by-step explanation:

-14 x 2 = -28

-28 + 8 = -20

There you go :D

Answer:

-10

Step-by-step explanation:

first Solve for the fraction

-8/2= -4

x-4= -14

next add the negative 4 to 14

x=-10

and there's you're answer!

Answer:

Step-by-step explanation:

[tex]\\ \sf\longmapsto 2^{-3}\times 3^{-2}[/tex]

[tex]\\ \sf\longmapsto( \dfrac{1}{2})^3\times( \dfrac{1}{3})^2[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{8}\times \dfrac{1}{9}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{72}[/tex]

Answer:

Radius = 3.232 cm to the nearest thousandth.

Step-by-step explanation:

Volume of a sphere = 4/3πr^3, so:

45π = 4/3πr^3     π is common to both sides, so:

45 = 4/3 r^3

r^3 = 45 * 3/4

r^3 = 33.75

r = 3.232 cm.

Answer:

Did the quiz :)

Step-by-step explanation:

Answer:

the answer is 1

Step-by-step explanation: i took the test hope this helps

First clear the bracket of the inner fraction's numerator. This would allow you to reduce the inner fraction to lowest terms.

Given the expression

[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]

In order to simplify, note that the numerator and denominator of the fraction

[tex]\frac{(2r^2t)^3}{4t^2}[/tex]

have common factors. So, we would first remove the bracket in the numerator. This would allow us to reduce the fraction to lowest terms.

To clear the numerator's bracket, note that

[tex](2r^2t)^3=(2r^2t)\times(2r^2t)\times(2r^2t)\\=(2\times2\times2)\times(r^2\times r^2\times r^2)\times(t\times t\times t)\\=8\times r^6 \times t^3=8r^6 t^3[/tex]

that was long. The shorter way was to do the following

[tex](2r^2t)^3=2^3\times r^{2\times3}\times t^3=8r^6t^3[/tex]

so back to the original question, to simplify

[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]

we would do

[tex](\frac{(2r^2t)^3}{4t^2})^2=(\frac{2^3r^{2\times3}t^3}{4t^2})^2\\\\=(\frac{8r^6t^3}{4t^2})^2[/tex]

Now that we have removed the bracket from the numerator, we can now accomplish the step of reducing the fraction to lowest terms

[tex](\frac{8r^6t^3}{4t^2})^2=(\frac{8}{4}\times r^6\times \frac{t^3}{t^2})^2\\=(2\times r^6\times t^{3-2})^2\\=(2\times r^6\times t^1)^2\\=(2r^6t)^2[/tex]

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Answer:

y > x - 2

y >= 5x + 1

Step-by-step explanation:

Linear inequalities represented by the graph are y>5x+1 and  y>x-2

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The first line passes through the points

(0, 1) and (-1, -4)

The slope of line is m=-4-1/-1=5

Let us find the y intercept

1=5(0)+b

b=1

So the equation of line is y=5x+1

As the shading is outside so y>5x+1

Now let us find for 2nd line

(2, 0) and (-2, -4)

m=-4/-4=1

Now y intercept is 0=2+b

b=-2

So equation is y=x-2

As shading is outside so  y>x-2

Hence,  linear inequalities represented by the graph are y>5x+1 and  y>x-2

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Answer:

The whole

Step-by-step explanation:

If the part is 20% then you already have a part of a whole, now you need to find the entire thing

Answer:

ok so that means that the new price is 8/9th of the original one so we divide 224 by 8/9=252

Hope This Helps!!!

Marked down 1/9 means it sold for 8/9 of the original price.

Divide the sale price by 8/9:

224 / 8/9 = 224 x 9/8 = (224 x 9)/8 = 2016/8 = 252

The original price was $252

Answer:

4 = 20 + n, where n is the number

Step-by-step explanation:

Here are a few key words to use when converting words to an equation

"is": =

"more": +

"less": -

"more than", "greater than": >

"less than": <

Answer:

TWO TRAINS IM SORRY LOLLL

Answer:

18 minutes

Step-by-step explanation:

Answer:

12 cans were damaged

EXPLANATION:

Cause When You Divide 4 To Divide 40, It Gives You 100% Calculation, And Subtract 30% from 100% it gives you 70%, which is 28 cans of food

Answer:

x = 18

Step-by-step explanation:

10  − 3x = − 2 (x + 4)

=> 10  − 3x = -2x - 8

=> x = 18

Hoped this helped.

Answer:

x = 18

Step-by-step explanation:

10 - 3x= -2(x+4)

First, we solve inside the parentheses.

10 - 3x= -2x - 8

Like terms:

-3x + 2x= -10 - 8

-x/-1 = -18/-1

x = 18

Answer:

l.y=4

m.y=-2x+4

n.1x-1

p.x=-4

Step-by-step explanation:

The equations of the lines given in the graph will be,

y = x - 1

y = -2x +4

y = 4

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

For line one the points are:-

( 3,2 ) and ( 1,0)

Slope = ( 0 -2 ) / ( 0 - 3 )

Slope = 1

The equation will be,

y = x + c

0 = 1 + c

c = -1

For line two the points are:-

(0,4) and (2,0),

Slope = ( 0 - 4 ) / ( 2 - 0 )

Slope = -2

The y-intercept will be,

y = mx +c

y = -2x + c

c= 4

The equation can be written as:-

y = -2x +4

The equation of the line parallel to x-axis is,

y = 4

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Answer:

138

Step-by-step explanation:

Answer:

A. 23, 37.....

B. 26, 42......

Step-by-step explanation:

have a great day!

Answer:

The answer is 80 miles 2/23

Step-by-step explanation:

I hope this helps

Answer:

ANS is g=5

step 1: 3g=19-4

step2: or,3g=15

step 3: or,g=15%3

step 4: or,g=5

Hope it helps.

Can you give me BRAINLIEST ANSWER

THANK YOU

Answer:

x2 + (y + 8)2 = 36

Step-by-step explanation:

:) took the test

The equations which represent circles that have a diameter of 12 units and a center that lies on the y-axis are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.

Standard form of a circle is given by the equation,

(x - h)² + (y - k)² = r²

where, (h, k) is the center of the circle and r is the radius of the circle.

Given that,

A circle has a diameter of 12 units.

So radius = 12 / 2 = 6 units

Center of the circle lies on the Y axis.

So the x coordinate of the center of the circle will be 0.

So, in (h, k), h = 0

So the equation will be of the form,

(x - 0)² + (y - k)² = 6²

x² + (y - k)² = 36

Hence the options are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.

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Answer:

  A. (8 2/5, 8 2/5)

Step-by-step explanation:

You want to find point P such that ...

  AP : PB = 2 : 3

  3AP = 2PB . . . . . . . . cross multiply

  3(P -A) = 2(B -P) . . . recognize length XY = Y - X

  5P = 3A +2B . . . . .  collect P terms

  P = (3A +2B)/5 = (3(2, 6) +2(18, 12))/5 = (6+36, 18+24)/5= (42, 42)/5

  P = (8 2/5, 8 2/5) . . . . matches choice A

Answer: The GCF of 10, 15, and 35 is 5.

Would appreciate brainliest <3

Answer:

5.

Step-by-step explanation:

First, we write them in prime factor form, then pick out the common factors.

15 = 3*5

35 = 5*7

10 = 2*5

So the GCF is 5.

E, C, F are the answers.

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Base of a cube is a square, and in the given figure it's stated that the measure of each side is " x " ft

Therefore it's Area is equal to : -

Now, since it's Area is given as 1/4 ft², let's equate the Areas to find the measure of each side ~

that is ~

It's time to find the volume of cube that is ~

So, let's plug the value of side length (1/2 ft)

Volume is equal to ~

Hence, the required 1/8 or 0.125 ft³

I hope it helped ~

[tex]\mathrm{✌TeeNForeveR✌}[/tex]

Answer:

Step-by-step explanation:

side=Base=x

Area=side * side

Area=[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]

Substitute values in the above formula:

[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]=x * x

[tex]x^{2}[/tex]=[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]

x=[tex]\frac{1}{2}[/tex]ft

Now,

The formula of volume of Cube:

Volume=x*x*x

Substitute the values of x=[tex]\frac{1}{2}[/tex]ft in the formula of Volume:

Volume=[tex]\frac{1}{2}[/tex]ft * [tex]\frac{1}{2}[/tex]ft * [tex]\frac{1}{2}[/tex]ft

Volume=[tex]\frac{1}{8}[/tex] [tex]ft^{3}[/tex]

Answer: 3z+6

Step-by-step explanation:

(3) (z+2)

(3) (z)+(3) (2)

3z+6

Answer:

1/4 > 1/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

mhmh idek man

Answer:

Limited economic options

Step-by-step explanation:

Answer:

A i think

Step-by-step explanation:

do to the way peasants lived they did not have options most of the time

Answer:

a =  -0.33

b = 3

Step-by-step explanation:

(ax²+ by)⁸

by the 8th level of Pascal Triangle, the coefficient of last 2 terms are

8 a*b⁷ = -5832  ... last 2nd term 8 ab⁷ x²y⁷

b⁸ = 6561   ... last term b⁸y⁸

b = 3

a = -5832/(8*3⁷) = -0.33

Answer:

i think that the correct answer is 7/12