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tatiyna
3 years ago
6

The points J (-13,10) and K(-1,-6) are endpoints of a diameter of circle G. What is the equation of circle G?

Mathematics
2 answers:
In-s [12.5K]3 years ago
7 0
The correct answer is D

The equation of a circle is (x-h)^2 + (y-k)^2 = r^2

to find (h,k), you find the middle of the circle, in this scenario you do so by finding the middle of the diameter, a line that goes through the center of the circle.

To find the X value of the midpoint, add both x values together and divide by 2 and repeat for y

-13 + -1 = -14
-14/2 =-7

10+ -6 = 4
4/2 = 2

therefore (h,k) = ( -7, 2 )

Next plug these values in the equation of a circle

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

becomes

(x- (-7)) ^2 + (y-(2)) ^2 = r^2

to find r, use the distance formula to find the length of the diameter, 20, and divide by 2


plug 10 in for r and you get 100

(x+7)^2 + (y-2)^2 = 100

sorry for the late response
Alina [70]3 years ago
5 0

Answer:

(x + 7)2 + (y − 2)2 = 100

Step-by-step explanation:

I just solved this

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Equation with angles can someone please answer helpppp
Elden [556K]

Answer:

x = 18°\\\angle A = 73°

Step-by-step explanation:

By interior angle property on one side of the transversal.

\angle A+ \angle B = 180°\\6x - 35° + 3x + 53°  = 180°\\9x + 18° = 180°\\9x = 180° - 18°\\9x = 162°\\x = \frac{162°}{9}\\ \huge \red {\boxed {x = 18°}} \\\therefore \angle A = 6x - 35°\\\therefore \angle A = 6\times 18°- 35°\\\therefore \angle A = 108°- 35°\\ \huge \purple {\boxed{\therefore \angle A = 73°}} \\

3 0
3 years ago
Which expression have a value -7
vlabodo [156]

x+7=0

x=-7

.....................

3 0
3 years ago
Carrie borrowed $960 in interest free to pay for a car repair. She will pay $120 monthly until the loan is paid off. How many mo
astraxan [27]

Answer:

It will take Carrie 8 months to pay off the loan

Step-by-step explanation:

Step 1: Determine the expression for total amount to be paid

T=m×n

where;

T=total amount to be payed

m=total payments per month

n=number of payments to be made

In our case;

T= $960

m= $120

n=unknown

replacing;

960=120×n

120 n=960

n=960/120

n=8 months

It will take Carrie 8 months to pay off the loan

6 0
3 years ago
16z+29z=pz-v solve for z
Margarita [4]
<span>16z + 29z=pz - v

45z - pz = -v

z(45 - p) = -v

z = </span>\frac{-v}{(45 - p)}
8 0
3 years ago
Read 2 more answers
A COUPLE PLAN TO HAVE THREE CHILDREN.
Helen [10]
A) 8 possibilities
BBB
GBB, BGB, BBG
BGG, GBG, GGB
GGG

B) 0, 1, or 2 boys not 3
7/8

C) 2 or 3 girls
4/8=1/2

D) same sex
2/8=1/4
4 0
1 year ago
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