The standard form of the equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle, (x,y) is a point of the circle, and r is the length of the radius of the circle. When the equation of a circle is written, h,k, and r are numbers, while x and y are still variables. (x-2)^2 + (y-k)^2 = 16 is an example of a circle. The problem gives us two of the three things that a circle has, a point (5,9) and the center (-2,3). We need to find the radius in order to write the equation. We substitute -2 for h, 3 for k, 5 for x, and 9 for y to get (5 - (-2))^2 + (9 - 3)^2 = r^2 We simplify: 49 + 36 = r^2, r^2 = 85. We only need to know r^2 because the equation of a circle has r^2. We now have all the information to write the equation of a circle. (x + 2)^2 + (y - 3)^2 = 85.
Answer:
5+23
Step-by-step explanation:
increased by is another word for add
Answer:
The dimensions of the pool on the blueprint would be 3 in wide by 4.5 in long.
Step-by-step explanation:
First I turned 3/4 into a decimal, which would be 0.75. The I divided the dimensions of the pool by two. This way I could multiply the .75 by how many sets of two feet there were in the dimensions. Finally I multiplied 4 by .75 and I multiplied 6 by .75. That is how I found my answer.
The other factor is (y - 3). If you multiply the two terms together, you will end up with
:
Answer:
5 faces
Step-by-step explanation:
4 triangle faces + 1 square base face = 5 faces in total
