Answer:
(x - 2)² + (y + 7)² = 64
(fourth option listed / option D)
Step-by-step explanation:
as you likely know, the equation of a circle (centered at origin) is x²+y²=r²
now, let's say we want to write this using the center (the origin), it could look like this:
(x - 0)² + (y - 0)² = r²
(the center is 0,0)
[we write this in parentheses when we are shifting the location of a point--similar to when we move a line on a graph]
We can use this for any center, and we write our circle equation as:
(x - h)² + (y - k)² = r²
(h, k) is the center
So, let's apply the information we know
our (h, k) is (2, -7)
so let's fill that in:
(x - h)² + (y - k)² = r²
(x - 2)² + (y - -7)² = r² (simplify)
(x - 2)² + (y + 7)² = r²
now, we also know that our "r" <em>(r is the radius)</em> is 8, so let's fill that in too:
(x - 2)² + (y + 7)² = r²
(x - 2)² + (y + 7)² = 8² (simplify)
(x - 2)² + (y + 7)² = 64
So, we have found the equation of our circle to be:
(x - 2)² + (y + 7)² = 64
hope this helps! (and hope this makes sense) have a lovely day :)
Answer:
x = -3
a) 6 ft
b) 7 ft
c) 9 ft
d) 11 ft
e) 5 ft
f) 14 ft
Step-by-step explanation:
set up the equation
-2x + 4 - x +x +12 + 3x + 20 + 2x + 11 + 7x + 35 = 52
combine like terms
10x + 82 = 52
single out the variable
10x = -30
x = -3
substitute x in all the following equations
a) -2(-3) = 6
b) 4 - -3 = 7
c) -3 + 12 = 9
d) 3(-3) + 20 = 11
e) 2(-3) + 11 = 5
f) 7(-3) + 35 = 14
have a lovely day <3
The answer Is one million milligrams (tongue twister) to find this out you simply know that a kilogram is 1000 times a gram and a gram is a thousand times a milligram.
1000x1000= 1,000,000
Your welcome.
BRAINLIEST PLEASE
