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3 years ago

PLEASE HELP URGENT!!! 90 POINTS

Mathematics

1 answer:

Lina20 [59]3 years ago

4 0

\Given :

x^{3} +x^{2} -20x

Solution:

x^{3} +x^{2} -20x

taking x common from the given polynomial

⇒x(x^{2} +x-20)=0

⇒x(x(x+5)-4(x+5))=0

⇒x(x+5)(x-4)=0

⇒ x=0 , x+5=0 , x-4=0

⇒x = 0 , x = -5 , x = 4

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Explain why the triangles are similar. Then find the value of x.

djyliett [7]

Answer: Choice A) AA postulate; 18

---------------------------------------------------------------------------------------

Work Shown:

The triangles are similar to each other due to the AA (angle angle) postulate. The top angles are overlapping or shared angles. So that's the first pair. The second pair of angles is either bottom pair of angles, from the fact that corresponding angles are congruent. This is only true if the lines are parallel.

Due to the similar triangles, we can set up the proportion and solve for x
8/(8+4) = 12/x
8/12 = 12/x
8*x = 12*12 ... cross multiply
8x = 144
x = 144/8
x = 18

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2 years ago

I need help simplifying both of these. thank you!

4vir4ik [10]

<h3>Answer:</h3>

-100x +100; 3
5x +81; 162

<h3>Step-by-step explanation:</h3>

The distributive property is your friend. It tells you ...

a(b + c) = ab + ac

It can also be used to simplify the product of binomials (or other polynomials).

(a +b)^2 = (a +b)(a +b) = a(a +b) + b(a +b) = a^2 +ab +ab +b^2

(a +b)^2 = a^2 +2ab + b^2 . . . . . . . worth remembering

1. (x -10)^2 -x(x +80) = (x^2 -20x +100) +(-x^2 -80x)

= -100x +100 . . . . . . simplified form

For the purposes of calculation, it can be easier to factor out 100:

= 100 (1 -x)

Then for x = 0.97

= 100(1 -0.97) = 100(0.03) = 3

___

2. (2x +9)^2 -x(4x +31) = (4x^2 +36x +81) -4x^2 -31x = 5x +81

For x = 16.2, this is ...

5(16.2) +81 = 81 +81 = 162

_____

The purpose of the attachment is to show the evaluation is correct.

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3 years ago

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Musya8 [376]

Answer:

Step-by-step explanation:

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If we add 12+7+16+9+10, we get 54x=540^o

That means x=10

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