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patriot [66]
3 years ago
5

Determine the slope-intercept form of the equation of the line parallel to y = -4/3 x + 11 that passes through the point (–6, 2)

. y = x +
Mathematics
1 answer:
rewona [7]3 years ago
6 0

Answer: -4/3x - 6

Step-by-step explanation:

First, let's find the slope of the line

y=- -4/3x+11

As the equation is already in slope-intercept form y=mx+c ,

Slope = -4/3

Let a point (x,y) be on the new line.

By finding the slope again,

y−2/x+6= -4/3

y−2= -4/3(x+6)

y−2= -4/3x−8

y = -4/3x - 6

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The surface area A of a cube is equal to the sum on the areas of the 6 square faces that form the cube. If each face has side le
algol [13]

Answer:

18 units

Step-by-step explanation:

Hello, I can help you with this.

Step 1

identify

we have a equation, let's look  it

A=6s2

The surface area A of a cube=6(area of a face)

area of face= side*side

so

Area=6*side*side

Step 2

isolate side from the equation

side^{2}=\frac{Area}{6}\\side=+\sqrt{\frac{Area}{6}}

we are looking for a distance, so , we will use only the positive root

Step 3

replace the value of 1944 square units into the equation

side=+\sqrt{\frac{Area}{6}}\\side=+\sqrt{\frac{1944}{6}}\\side=\sqrt{324}\\\\side=18\\

so, the value x of a side of a cube with a total

the side of a cube is 18 units  when the surface area of the cube shown is 1944 units2

Have a good day.

6 0
3 years ago
2x + y = 9<br> x = y - 3
lawyer [7]

Answer:

x=2 and y=5

Step-by-step explanation:

Steps:

I will solve your system by substitution.

x=y−3;2x+y=9

Step: Solve x = y − 3 for x:

Step: Substitute y − 3 for x in 2x + y = 9:

2x+y=9

2(y−3)+y=9

3y−6=9(Simplify both sides of the equation)

3y−6+6=9+6(Add 6 to both sides)

3y=15

3y/3=15/3  (Divide both sides by 3)

y=5

Step: Substitute 5 for y in x = y − 3 :

x=y−3

x=5−3

x=2(Simplify both sides of the equation)

Answer:

x=2 and y=5

3 0
3 years ago
Read 2 more answers
For a given input value x, the function h outputs a value y to satisfy the following equation 6x+y=4x+11y. Write a formula for h
Tanzania [10]

Answer: h(x) = \frac{1}{5}x

<u>Step-by-step explanation:</u>

6x + y = 4x + 11y

<u>      -y </u>    <u>        -y  </u>

6x       = 4x + 10y

<u>-4x   </u>      <u>-4x         </u>

2x       =         10y

<u>÷10    </u>     <u>       ÷10 </u>

\frac{1}{5}x    =            y

Since "y" represents h(x), then h(x) = \frac{1}{5}x

5 0
3 years ago
Find the slope of the line through the given points.<br> (-2,7) and (2,-5)
Andreyy89

Answer:

y = -3x + 1

Step-by-step explanation:

hope this is right!

4 0
3 years ago
How do you answer this?
SVEN [57.7K]
(m^{-2})^5=m^{-2\cdot5}=m^{-10}

x^2+3x-10=\\&#10;x^2+5x-2x-10=\\&#10;x(x+5)-2(x+5)=\\&#10;(x-2)(x+5)
4 0
3 years ago
Read 2 more answers
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