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Setler79 [48]
3 years ago
8

Find the coefficient of x2 in ( 4+ 4x2)( 3x2–5).

Mathematics
1 answer:
algol133 years ago
8 0

Answer:

- 8

Step-by-step explanation:

Given

(4 +4 x²)(3x² - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

4(3x² - 5) + 4x²(3x² - 5) ← distribute parenthesis

= 12x² - 20 + 12x^{4} - 20x² ← collect like terms

= 12x^{4} - 8x² - 20

with coefficient of x² term being - 8

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A triangle has sides with lengths of 37 yards, 54 yards, and 62 yards. Is it a right triangle?
Marianna [84]

Answer:

Step-by-step explanation:

Are the sides consistent with the Pythagorean theorem?

37² + 54² ≟ 62²

1369 + 2916 = 4285 ≠ 62²

Not a right triangle.

7 0
3 years ago
Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify the expression. 5 +
Anettt [7]

Answer:

\Large\boxed{21}

Step-by-step explanation:

To solve this problem, first you have to use the order of operations stands for parenthesis, exponents, multiply, divide, add, and subtract from left to right. Remember to use the order of operations stands for "Please Excuse My Dear Aunt Sally."

Do parenthesis first.

\displaystyle(8-6)=2

\displaystyle 5+4\times2^2

Next, exponent.

\displaystyle 2^2=2\times2=4

\displaystyle 5+4\times4

Multiply & divide numbers from left to right.

\displaystyle 4\times4=16

Finally, add & subtract numbers from left to right.

\displaystyle 5+16=21

As a result, the correct answer is 21.

4 0
3 years ago
Solve for x. x +1/2 = 3/4
Alexeev081 [22]

x + 1/2 = 3/4

set denominators equal:

x + 2/4 = 3/4

-2/4 for both sides:

x = 1/4

there you go! hope this helps!

4 0
3 years ago
Read 2 more answers
Help me out here plssss
Minchanka [31]

Answer:

Step-by-step explanation:

SV = RV

2x+2 = 10

x = 4

r² = RV² + VZ² = 10²+7.5² = 156.25

UZ = √[r²- (QR/2)²] = √[156.25 - 10²] = √56.25 = 7.5

5 0
3 years ago
19 - |-34 - (-78)| + (-8)
enot [183]

Answer:

= -33

Step-by-step explanation:

6 0
3 years ago
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