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NikAS [45]
3 years ago
6

PLEASE HELP!!!!!! please be detailed. 20 points! will give brainliest...

Mathematics
1 answer:
BigorU [14]3 years ago
4 0

When you have a polynomial function, and you need to graph it, you need to find- y intercept (the constant at the end) zeroes( factor equation and set factorsequal to zero) end behavior( if the highest exponent is even, then if the leading coefficient is positive both sides continue up, if the leading coefficient is negative both sides continue down. If the highest exponent is odd, then if the leading coefficient is positive left side continues down, right side continues up, if the leading coefficient is negative then visa versa.) and multiplicity( if the same factor occurs multiple times- if it occurs an odd number of times, then the graph passes the x axis, if it occurs an even number, then it merely touches).

Hope I helped!

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Answer:

Step-by-step explanation:

Let x represent the length of the hypotenuse.

Let y represent the length of the the shorter leg.

Let z represent the length of the longer leg.

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. It means that

z = 2y + 20

The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. It means that

x = 2y + 22

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

(2y + 22)² = y² + (2y + 20)²

(2y + 22)(2y + 22) = y² + (2y + 20)(2y + 20)

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4y² + 88y + 484 = y² + 4y² + 80y + 400

4y² + 88y + 484 = 5y² + 80y + 400

5y² - 4y²+ 80y - 88y + 400 - 484

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y(y + 6) - 14(y + 6)

y - 14 = 0 or y + 6 = 0

y = 14 or y = - 6

The shorter length cannot be negative hence y = 14 inches

The length of the shorter side is 14 inches.

The length of the hypotenuse is

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The length of the longer side is

(2 × 14) + 20 = 48 inches

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