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 :)
First find out what 40% of 200 is
200 times .4 is 80
then find out what 1/3 of 150 is
divide 150 by three, which is 50
if it was 2/3 instead of 1/3, you would multiply 50 by 2
40% of 200 is greater
Hi so we are going to select the story problem that this division problem represents so let’s get to it!
The answer is going to have to be 2 and 1/4 or 2.25 and the word problem is going to be Lauren jogs around a rectangular course with a length of 3/4 mile and an area of 1/3 square mile. How wide is the course?
Answer:
19 %
Step-by-step explanation:
589 is what percetage of 3100?
589 / 3100 * 100 % = 19%
19^2 = 361
7^2 = 49
361 - 49 = 312
Square root of 312 = 17.66
B) 17.7
