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DIA [1.3K]
4 years ago
11

The triangles are similar.

Mathematics
2 answers:
MrMuchimi4 years ago
7 0
25/5 = 5
and also 
15/3 = 5
so
(3x+ 8)/5 = 4
3x + 8 = 20
3x = 12
  x = 12/3
  x = 4

answer is x = 4
Igoryamba4 years ago
6 0
3x + 8 = 4 * 5 = 20
x = 4
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The product of (4z^2 + 7z - 8) and (-z + 3) is -4z^3 + xz^2 + yz - 24. What is the value of x? What is the value of y?
ycow [4]

Answer:

x=5+\frac{29}{z}-\frac{y}{z}

y=5z+29-xz

Step-by-step explanation:

Given: (4z^2+7z-8)(-z+3)=-4z^3+xz^2+yz-24; find x and y.

Let's start with finding x first. Let's distribute the left side of the equation.

-4z^3+5z^2+29z-24=-4z^3+xz^2+yz-24

Let's move everything we can to the left side of the equation. Some things will cancel out.

5z^2+29z=xz^2+yz

Now, let's move the term that includes x to the left side of the equation. Everything else should be moved to the right.

-xz^2=-5z^2-29z+yz

Let's get rid of the negative sign in front of x by dividing both sides by -1.

xz^2=5z^2+29z-yz

To get x completely isolated, divide both sides by z^2.

\frac{xz^2}{z^2}=\frac{5z^2}{z^2}+\frac{29z}{z^2}-\frac{yz}{z^2}

Simplify.

x=5+\frac{29}{z}-\frac{y}{z}

Let's solve for y. We will start with the distributed and simplified equation to make it easier.

5z^2+29z=xz^2+yz

Now, let's move the term that includes y to the left side of the equation. Everything else should be moved to the right.

-yz=-5z^2-29z+xz^2

Again, let's get rid of the negative sign in front of the y by dividing both sides by -1.

yz=5z^2+29z-xz^2

To isolate y, divide both sides by z.

\frac{yz}{z}=\frac{5z^2}{z}+\frac{29z}{z}-\frac{xz^2}{z}

Simplify.

y=5z+29-xz

8 0
3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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3 years ago
What is the answer???
vagabundo [1.1K]

Answer:

3. \displaystyle x-intercept: [-4\frac{1}{2}, 0] \\ y-intercept: [0, -9] \\ Slope-Intercept\:Form: y = -2x - 9

2. \displaystyle x-intercept: [5, 0] \\ y-intercept: [0, 1] \\ Slope-Intercept\:Form: y = -\frac{1}{5}x + 1

1. \displaystyle x-intercept: [4, 0] \\ y-intercept: [0, -3] \\ Slope-Intercept\:Form: y = \frac{3}{4}x - 3

Step-by-step explanation:

−2x - y = 9

x-intercept → Plug in 0 for <em>y</em><em> </em>to get −4½ for <em>x</em>

y-intercept → Plug in 0 for <em>x</em><em> </em>to get −9 for <em>y</em>

−2x - y = 9

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\displaystyle \frac{-y}{-1} = \frac{2x + 9}{-1}

\displaystyle y = -2x - 9 →<em>Slope-Intercept</em><em> </em><em>Form</em>

_______________________________________________

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x-intercept → Plug in 0 for y to get 5 for x

y-intercept → Plug in 0 for x to get 1 for y

x + 5y = 5

- x - x

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\displaystyle \frac{5y}{5} = \frac{-x + 5}{5}

\displaystyle y = -\frac{1}{5}x + 1 →<em>Slope-Intercept Form</em>

_______________________________________________

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y-intercept → Plug in 0 for x to get −3 for y

3x - 4y = 12

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I am joyous to assist you anytime.

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