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Nimfa-mama [501]
3 years ago
12

Write the equation of the circle with center (3, 2) and (−6, −4) a point on the circle.

Mathematics
1 answer:
yulyashka [42]3 years ago
6 0
The equation for a circle is as followed:

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

where the center of the circle is at (h,k) and the radius of the circle is r.

We are given (h,k) and need to find the radius. To do so, we can use the distance formula to find the distance from the  center to the point on the circle:

d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

Plug in the two points:

d= \sqrt{(3-(-6))^2+(2-(-4))^2}

d= \sqrt{(9)^2+(6)^2}

d= \sqrt{117}

If the distance from the center to the edge of the circle is the square root of 117, then r^2 = 117.

The answer is:

(x-3)^2+(y-2)^2=117
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Please answer correctly
Phoenix [80]

Answer:

26

Step-by-step explanation:

18 - 2^4 * (-0.5)

Calculate 2 to the power of 4 and get 16.

18−16(−0.5)

Multiply 16 and −0.5 to get −8.

18−(−8)

The opposite of −8 is 8.

18+8

Add 18 and 8 to get 26.

26

8 0
3 years ago
Which equation has a graph that goes through the points (4, -6) and (0, 6)?
Ugo [173]

Answer:

y = -3x + 6\\

Step-by-step explanation:

Find the gradient of the equation

\frac{Difference in y}{Difference in x} \\\\\frac{6 - - 6}{0 - 4}  = \frac{12}{-4} = -3

The equation will have the gradient -3x

Use the general equation of a line, and substitute the coordinates in to find the y-intercept.

y = x + c\\ y = -3x + c\\

(4, -6)

-6 = -3(4) + c\\ -6 = -12 + c\\ -6 + 12 = c\\ c = 66 = -3(0) + c\\ 6 = 0 + c\\ c = 6

(0, 6)

6 = -3(0) + c\\ 6 = -0 + c\\ c = 6

The equation of the line is

y = -3x + 6\\

4 0
3 years ago
On your first draw, what is the probability of drawing a red card, without looking, from a shuffled deck containing 6 red cards,
Elis [28]
First divide 6/(6+6+8) =0.3
Then multiple it by 100 to get the probability percentage 30%
5 0
2 years ago
Plz help this is due tomorrow
kkurt [141]
7:8 Purl Stitches I believe ! :)
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3 years ago
Brittany was tracking the increasing temperature in the morning. At 8 a.m., it was 68 degrees Fahrenheit. At 10 a.m., it was 74
Mila [183]
Brittney was tracking the increasing temperature in the morning, it was 68 degrees fahrenheit at 8 a.m., and 74 degrees fahrenheit at 10 a.m. If Brittany made the function f(x) = 3x + 36, the number '36' would represent the temperature at midnight. 
6 0
3 years ago
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