Answer:
1) given
2) given
3) definition of vertical angles
4) AAS
Step-by-step explanation:
Answer:
396
Step-by-step explanation:
circumference of a circle is 2 x pi x r = 2 x 63 x (22/7) = 396
She used the associative property which should only be used with positive numbers (sorry if it isn't the answer you're looking for)
Answer:
Step-by-step explanation:
In order to find the center and the radius of this circle, you have to complete the square on it. And only for the x-terms, because the y term is squared and there is no other y term. We'll get to that in a second.
Take half the linear x-term, square it and add it to both sides. Our linear term is 10. Half of 10 is 5, and 5 squared is 25. We add 25 to both sides:
The reason we do this is to create a perfect square binomial inside that set of parenthesis. Simplifying the right side as well gives us:
This tells us that the center is (-5, 0). Remember when I said we would get back to the y terms? Because there was only a y-squared and no other y terms, that is the same as writing the equation as
The radius is the square root of the constant. So the radius is 6.
D is the graph you want.
Answer:
(3 x 10^6) + (3 x 10^5) + (7 x 10^4) + (0 x 10^3) + (0 x 10^2) + (6 x 10^1)
Step-by-step explanation: