90 is the answer to your question!
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.
Answer:
(2, 8)
Step-by-step explanation:
There are a couple of different ways to do this, but I am going to use substitution since we already have one of those equations solved for y. If y=3x+2, then we can sub 3x+2 in for y in the other equation:
-3x + 2(3x + 2) = 10 and
-3x + 6x + 4 = 10 and
3x + 4 = 10 and
3x = 6 so
x = 2. Now that we know x = 2, we can sub a 2 in for x in either equation to solve for y:
y = 3x + 2 gives us, with the substitution, y = 3(2) + 2 so y = 8. The solution set is (2, 8)
Answer:
Step-by-step explanation:
Given that a curve in polar coordinates is given by:
r=9+3cosθ
a) At point P, we have

Substitute to get

b) Cartesian coordinate is

c) At the origin r =0
when r =0
we have

Since cos cannot take values as -3 it doe snot pass through origin.
Answer:
Number 7: 22.10 divided by 2.6 = 8.5 or 8.50 (depending on what your teacher prefers.
Step-by-step explanation:
Not sure about question 2 or 10