Here is the equation of a circle in standard form.
2 answers:
Answer:
C
Step-by-step explanation:
The equation is in the standard form for a circle:
(x-h)^2+(y-k)^2=r^2
where (h,k) is the center, and r is the radius
If we compare the 2 equations:
(x-h)^2+(y-k)^2=r^2
(x + 10)2 + (y + 9)2 = 100
We can see that r^2 is equal to 100. Let's set them equal to each other.
r^2=100
Since r is being squared, take the square root of both sides. This will cancel out the exponent.
r=10
So, our radius is 10, or choice C
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Answer:
6,840 casts
Step-by-step explanation:
Assuming that every actor can play each of the 4 roles and that each role is different, the number of possible casts including at least one of sir Ian and Patrick is given by the total number of possible casts (permutation of 4 out of 12 actors), minus the number of casts without sir Ian and Patrick (permutation of 4 out of 10 actors):
There are 6,840 possible casts.
Answer: G
<u>Step-by-step explanation:</u>
(x, y) → (,
)
means that the new quadrilateral will be the size of the original quadrilateral, so it will be smaller because the it maps to a fraction that is less than 1.