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Montano1993 [528]

3 years ago

9

Joseph earns $20 for every lawn he mows. Is the amount of money he earns proportional to the number of lawns he mows? What is th

e answer in the table for 1 lawn mowed

1 answer:

vaieri [72.5K]3 years ago

6 0

wouldnt the answer be 20

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What is the value of x?

WINSTONCH [101]

Answer:

$\large\boxed{x=8\sqrt2}$

Step-by-step explanation:

$\bold{METHOD\ 1}\\\\\text{Use the Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have}\ leg=8,\ leg=8,\ hypotenuse=x.\\\text{Substitute:}\\\\x^2=8^2+8^2\\\\x^2=2(8^2)\to x=\sqrt{2(8^2)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x=\sqrt2\cdot\sqrt{8^2}\qquad\text{use}\ \sqrt{a^2}=a\\\\x=8\sqrt2$

$\bold{METHOD\ 2}\\(look\ at\ the\ picture)\\\\\text{We have}\ a=8.\ \text{Therefore}\ a\sqrt2=8\sqrt2$

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kondaur [170]

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$149 MP3 player 40% discount

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Solve each equation by factoring x^2+4x+4=0

makkiz [27]

Answer: x = -2

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

Find 2 numbers whose product is the c-value of 4 and their sum is the b-value of 4.

x² + 4x + 4 = 0

∧

1 + 4 = 5

2 + 2 = 4 <em>this works!</em> <em>so the factors are: </em>

(x + 2)(x + 2) = 0

x + 2 = 0 and x + 2 = 0

x = -2 and x = -2 --> <em>same answer so only need to list it once</em>

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