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STatiana [176]
3 years ago
7

HELP! 30 pts! The circle below is centered at the point (-2, -3) and has a radius of length 3.

Mathematics
1 answer:
statuscvo [17]3 years ago
3 0

Answer:

(x + 2)^2 + (y + 3)^2 = 9

Step-by-step explanation:

Center = (-2, - 3) = (h, k)

Radius (r) = 3

Equation of circle in centre radius form is given as:

(x - h) ^2 + (y - k) ^2 = r^2 \\\therefore \{x - (-2)\}^2 + \{y - (-3)\}^2 = 3^2 \\ \purple {\boxed {\bold {\therefore(x + 2)^2 + (y + 3)^2 = 9}}}

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If gas costs $3.19 per gallon, how many whole
sergiy2304 [10]

Answer:

13 gallons

Step-by-step explanation:

42 / 3.19 = 13.166144200626959,

which can be rounded down to 13 whole gallons.

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3 years ago
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Solve for y<br> -2x + 5y - 6 = -11<br><br><br> HELP ASAPPP
Leona [35]

Answer:

It would be

y=2x/5 - 1

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Which graph represents a function with a growth factor of 5
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Answer:

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3 years ago
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Determine g(x + a) – g(x) for the following function.<br> g(x) = 5x2 + 2x
dusya [7]

Answer:

g(x + a) - g(x) = 10ax + 5a^2 + 2a

Step-by-step explanation:

We are given the function:

g(x) = 5x^2 + 2x

And we want to determine:

\displaystyle g(x+a) - g(x)

Substitute:

\displaystyle \begin{aligned}g(x + a) - g(x) &=\left[5(x+a)^2 + 2(x+a)\right] -\left[5x^2+2x\right]    \end{aligned}

And simplify:

\displaystyle \begin{aligned}g(x + a) - g(x) &=\left[5(x+a)^2 + 2(x+a)\right] -\left[5x^2+2x\right] \\  \\ &= \left(5(x^2 + 2ax + a^2) + (2x + 2a) \right) + \left(-5x^2 - 2x\right) \\ \\ &= \left((5x^2 + 10ax + 5a^2) + (2x + 2a)\right) + \left(-5x^2 - 2x\right) \\ \\ &= (5x^2-5x^2) + (10ax + 2x - 2x) + (5a^2+2a)     \\ \\ &= 10ax + 5a^2 + 2a \end{aligned}

In conclusion:

g(x + a) - g(x) = 10ax + 5a^2 + 2a

3 0
2 years ago
Simplyify~ 6y+5z+8y−3z
lesantik [10]
14y+2z is the answer
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3 years ago
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