3 years ago

What equation represents a circle whose center is located at (-6,2) and whose radius is 10 units?

1 answer:

3 0

One of the equations for a circle is (x - h)² + (y - k)² = r² where (h, k) are the center and r is the radius.
So after substitution:
(x + 6)² + (y - 2)² = 100

Notice the equation has the opposite of h and k and 100 is the result of squaring 10.

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2 years ago

Read 2 more answers

the sum of two numbers is 70. the larger number is five less than twice the smaller number . what are the two numbers

earnstyle [38]

X+y=70
x=2y-5
x=larger number
y=smaller number
now plug in the value of x to only have one variable in the equation...
Way to solve for y:
(2y-5)+y=70
3y-5=70
add 5 on both sides...
3y=75
divide by 3 on both sides
y=25
1st way to solve for x:
now plug in y in the original equation...
x+25=70
subtract 25 on both sides...
x=45
2nd way to solve for x:
plug in y for the second equation...
x=25(2)-5
x=50-5
x=45
answer: the two numbers are 45 and 25.

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3 years ago