2 years ago

Analyze the diagram below and complete the instructions that follow. / Find the value of x. A. 4 B. 5 C. 6 D. 9

Mathematics

1 answer:

WARRIOR [948]2 years ago

5 0

Answer:

Step-by-step explanation:

x^2 + (x+3)^2 = 117

x^2 + x^2+6x+9 =117

2x^2 + 6x - 108 = 0

(2x-12)(x+9)=0

x=-9,6

x cannot be negative therefore, x = 6

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Burka [1]

I Believe it’s the first one

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2 years ago

Find an antiderivative F(x) with F′(x) = f(x) = 6 + 24x^3 + 18x^5 and F(1)=0.

7nadin3 [17]

Answer:

The antiderivative is $F(X) = 6x + 6x^4 + 3x^6 - 15$ .

Step-by-step explanation:

Antiderivative F(x)

This is the integral of $F^{\prime}(x)$

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

$F(x) = \int (6 + 24x^3 + 18x^5) dx$

$F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K$

$F(x) = 6x + 6x^4 + 3x^6 + K$

F(1)=0

$F(X) = 0$ when $x = 1$ . We use this to find K.

$F(x) = 6x + 6x^4 + 3x^6 + K$

$0 = 6 + 6 + 3 + K$

$K = -15$

Thus

The antiderivative is $F(X) = 6x + 6x^4 + 3x^6 - 15$ .

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2 years ago

Find the percentage based upon 400 people in the survey. 16%

MA_775_DIABLO [31]

To find a percentage, you the decimal point in the percent two places to the right 16% = 0.16. Then multiply.

0.16 • 400 = 64

16% of 400 = 64

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2 years ago

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postnew [5]

Answer:

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