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Damm [24]
3 years ago
14

Graph the equation. (x + 3)2 + (y + 2)2 = 16

Mathematics
1 answer:
Sati [7]3 years ago
3 0

okay well first you should put it in slope-intercept form aka y = mx + b

but you have simplify everything first

2(x + 3) + 2(y + 2) = 16

2x + 3 + 2y + 4 = 16

2x + 2y + 7 = 16

              -7    -7  

2x + 2y = 9

-2x          -2x

2y = -2x + 9

/2         /2

y = -x + 4.5

so now in a graph it should look like this:

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Evaluate |6| - |-6|.<br><br> A. -36<br> B. 0<br> C. 6<br> D. 12
siniylev [52]

Answer: Answer is 12.

Step-by-step explanation:

6 - (-6)

6 + 6= 12

Keep, change, change.

Keep 6

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3 years ago
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Which expression is the factorization of x2 + 10x + 21?
LiRa [457]
<h2><u>Sol</u><u>ution</u><u>:</u></h2>

Equation: x² + 10x + 21

<u>Step</u><u> </u><u>1</u><u>:</u> Find two numbers that can add up to 10 and be multiplied to 21. We have: 7 & 3, in the sense that 7+3=10, and 7×3=21. Replacing 10 with 7+3, the equation is now → x² + 7x + 3x + 21

<u>Step</u><u> </u><u>2</u><u>:</u> Get the new equation bracketed → (x² + 7x) (+3x + 21)

<u>Step</u><u> </u><u>3</u><u>:</u> Use 'x' in the equation. For the first part, we have 'x'. x² = x × x so, bring out one x out side the bracket, divide 7x by = 7 → x (x +7). Do the same for the second part by dividing 21 by 3 = 7, and then bringing out 3 from the bracket → 3 (x + 7).

Bringing everything together, we have: x(x+7) +3(x+7) → (x+3) (x+7)

<h3><u>Final</u><u> </u><u>ans</u><u>wer</u><u>:</u></h3>

(x+3) (x+7)

<h3 />

4 0
2 years ago
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BigorU [14]

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Step-by-step explanation:

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3 years ago
Evaluate the integral. (Use C for the constant of integration.) <br> cos(x) (8 + 7 sin^2(x)) dx
UNO [17]

Answer: 8 \sin x +7(\dfrac{\sin^3x}{3})+C

Step-by-step explanation:

Consider \int \cos(x) (8+7 \sin^2(x)) \, dx

Substitute  t= sinx

then dt = cos x dx

\int \cos(x) (8+7 \sin^2(x)) \, dx = \int (8+7t^2)dt\\\\ =8t+7(\dfrac{t^3}{3})+C

[\int x^ndx=\dfrac{x^{n+1}}{n+1}+C]

=8 \sin x +7(\dfrac{\sin^3x}{3})+C

Hence, \int \cos(x) (8+7 \sin^2(x)) \, dx=8 \sin x +7(\dfrac{\sin^3x}{3})+C

5 0
3 years ago
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