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valkas [14]
3 years ago
10

Which of the following circles have their centers in the second quadrant? Check all that apply.

Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0
The given circles are given in standard form:
(x - xc)² + (y - yc)² = r²

The second quadrant is the one that has negative x coordinates and positive y coordinates.

This said, let's see all your options:
A) (x - 5)² + (y - 6)² = 25
xc = -(-5) = +5
yc = -(-6) = +6
C (5 , 6) is in the first quadrant.

B) (x + 1)² + (y - 7)² = 16
xc = -(+1) = -1
yc = -(-7) = +7
C (-1 , 7) is in the second quadrant.

C) (x - 4)² + (y + 3)² = 32
xc = -(-4) = +4
yc = -(+3) = -3
C (4, -3) is in the fourth quadrant.

<span> D) (x + 2)² + (y - 5)²= 9</span>
xc = -(+2) = -2
yc = -(-5) = +5
C (-2 , +5) is in the second quadrant.

Therefore, the correct answers are B and D.
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What is the average rate of change for this exponential function for the interval from x = 2 to x = 4?
Hunter-Best [27]

Answer:

The average rate of change over the interval is 120

Step-by-step explanation:

For a function f(x) the average rate of change over an interval [a,b] is given as;

f(b)-f(a)/b-a

in this case, a is 2 and b is 4

f(b) is 256 and f(a) is 16

Substituting these values in the equation for rate of change, we have;

(256-16)/(4-2) = 240/2 = 120

8 0
3 years ago
The volume of the sphere is 500/3 pie cubic units . what is the value of X?
lilavasa [31]
Volume=4/3 pi r^3. so 4/3 pi r^3 = 500/3 pi. Therefore, divide by pi, and multiply by 3, you get 4r^3=500. Divide by 4 to get r^3=125, and cube root to result in 25. r=25.
7 0
3 years ago
There are about 10^24 stars in the universe. Each galaxy has approximately the same number of stars as the Milky Way Galaxy. Abo
maks197457 [2]

Answer:

10^{13} galaxies.

Step-by-step explanation:

There are about 10^{24} stars in the universe.

The Milky Way galaxy10 * 10^{10} stars.

All we need to do to find the number of galaxies is to divide the total number of stars in the universe by the number of stars in the Milky Way:

Number of galaxies = (Number of stars in the universe) / (Number of stars in the Milky Way)

Number of galaxies = \frac{10^{24}}{10 * 10^{10}}

N = \frac{10^{24}}{10^{11}}

N = 10^{24 - 11} = 10^{13}

The number of galaxies in the universe is approximately 10^{13}.

7 0
3 years ago
James is 5'10", Emily is 5'7", Ruby is 6'0", Chad is 6'0", Russell is 5'10", and Ariel is 5'9". What is the mean height of those
White raven [17]

Answer:

34'2" I think

Step-by-step explanation:

You just add them together and that was for the first part

5 0
3 years ago
Please help. If f(x)= 2^x-1+3 and g(x)=5x-9 what is (f-g)(x)??
Readme [11.4K]

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f  × g ) (x) = –15x2 + 2x + 8

<span>\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}<span><span>(<span><span>​g</span>​<span>​f</span><span>​​</span></span>)</span>(x)=<span><span>​<span>4−5x</span></span>​<span>​<span>3x+2</span></span><span>​​</span></span></span></span>

4 0
3 years ago
Read 2 more answers
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