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ArbitrLikvidat [17]
3 years ago
10

Factor rs + 6s + 6r + 36 by grouping.

Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0
I’m pretty sure it’s (r + 6)(s+6).
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(99 POINTS) Using similarity solve for x. Show all work
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General Idea:

In any right triangle,

1. The altitude to the hypotenuse is the geometric mean between the segments into which is separates the hypotenuse.

2. Each leg is a geometric mean of the hypotenuse and the segment of the hypotenuse adjacent of the leg.

Applying the concept:

Step 1: We need to label the given diagram and set up a proportion by comparing the similar triangles as provided in attached figure.

Setting up the proportion, we get...

\frac{Shorter \; Leg}{Hypotenuse}=\frac{AB}{AC}=\frac{AD}{AB}\\\\\frac{x}{9+16}=\frac{9}{x}\\Cross \; Multiplying \; we \; get...\\\\x^2=9(9+16)\\x^2=9(25)\\x^2=225\\Take \; square \; root \; on \; both \; sides\\\\\sqrt{x^2}=\sqrt{225}\\x=15

Conclusion:

x=15 \; cm


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3 years ago
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3 0
3 years ago
Need help <br><br> Pls explain
Crank

Given:

The graph of a line.

To find:

The equation of the line.

Solution:

From the given graph, it is clear that the line passes through the points (0,-2) and (-6,8). So, the equation of the line is:

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Subtract 2 from both sides.

y=-\dfrac{5}{3}x-2

Therefore, the equation of the line is y=-\dfrac{5}{3}x-2.

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Step-by-step explanation:

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3 years ago
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