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NeX [460]
3 years ago
10

What is the radius of the circle with this equation of (x-5)2+(y+7)2=8

Mathematics
1 answer:
AysviL [449]3 years ago
3 0

Answer:

2√2

Step-by-step explanation:

compare this equation with the standard equation of a circle centered at (h, k) with radius r:

(x - h)^2 + (y - k)^2 = r^2

(x - 5)^2 + (y + 7)^2=8

Clearly, r^2 = (radius)^2 = 8, and so the radius, r, is √8, or 2√2

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What is the coordinate of the midpoint of (2, 1) and (18, 7)?
lara31 [8.8K]

Answer:

The midpoint is (10, 4)

Step-by-step explanation:

To find the midpoint, you add the x value from the first coordinate and the x value from the second coordinate, then divide by two to get the x coordinate of the midpoint. You do the the same exact thing with the two y values to find the y coordinate of the midpoint.

2 + 18 = 20

20 / 2 = 10

1 + 7 = 8

8 / 2 = 4

(10, 4)

Hope this helps!

3 0
3 years ago
Read 2 more answers
4 taken away from one fourth of 'p' is 10 ?
pentagon [3]
I'm assuming we have to solve for "p" here...

By making an equation, we will get...

(p/4)-4=10

Add four on both sides...
(p/4)=14
Remove parentheses and multiply by four on both sides.
p=56
3 0
3 years ago
Help help help help help math math please please pelsss
Komok [63]

Answer:

Both of the angles will add up to 180 degrees so let’s make an equation.

5x-5+2x+10=180

First we collect like terms

5x+2x-5+10=180

Add them up

7x+5=180

Move the constant to the right

7x=180-5

7x=175

7x/7=175/7

x=25

So yes it’s true x=25.

Now we find the respective angles,

5x-5

5(25)-5

125-5

120

So angle one is 120 degrees.

2x+10

2(25)+10

50+10

60

So angle two is 60 degrees.

Now to check,

120+60=180

Step-by-step explanation:

4 0
2 years ago
In the equation y = -2x + 5, what is the average rate of change (slope)?
lorasvet [3.4K]

Answer:

-2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
1
IgorC [24]

Answer:

g(x) is shifted 4 units left and 6 units down from f(x).

Step-by-step explanation:

The parent function is:

f(x).

The child function is:

g(x) = f(x+4) - 6

Transformation 1:

g(x) = f(x+4)

Shifting a function f(x) a units to the left is finding f(x + a). So g(x) = f(x + 4) is f(x) shifted 4 units to the left.

Transformation 2:

g(x) = f(x+4) - 6

Subtracting a function f(x) by a constant a is the same as shifting the function a units down. So subtracting by 6 is shifting the function 6 units down. Thus, the correct answer is:

g(x) is shifted 4 units left and 6 units down from f(x).

5 0
2 years ago
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