So the equation of a circle is (x - h)² + (y - k)² = r² where (h,k) are the coordinates of the center of the circle and r is the radius. The diameter of a circle is a line that goes from one point of the circle to the other through the center of the circle. Well the center would be midway through the diameter so use midpoint formula to find the center which is (h,k) Mid point formula is both given x's added together divided by 2 for h and both y coordinates added together divided by 2 to find k
(10+0)/2
10/2= 5
(12+2)/2
14/2 = 7
so the center of the circle is (5,7) now use distance formula using the center and one of the points to the radius
√((5-10)²+(7-12)²)
√(-5²+ -5²)
√(25 + 25)
√50 is the radius
Now plug all found information into circle equation
(x-5)² + (y-7)² =50 note the end is 50 because the circle equation is radius squared and since the radius is √50, radius² is 50.
Answer is c
8 is your range, 15-7= 8.
Answer:81.31
Step-by-step explanation:
Answer: 168 inches.
Explanation:
First thing you must always do when solving word problems is read closely, and take note of any number.
In this case, the first thing we must do is find the scale factor.
For this, we use one of the dimensions. We will use the width of the photo.
We have then:
k = 132/11
k = 12
Then, we look for the value of the height of the new photo. To do this, we multiply the scale factor by the original dimension.
We have then:
14k = 14 (12) = 168
Thus, 168 inches is your answer! :)
Hope this helps! :)
Area = b * h
Area of orange = area of big square subtract by area of small square
Small square = b^2
Big square = a^2
(a^2 - b^2) = (a - b)( a + b)
Solution: (a - b) (a + b)
