Dilation of a point P(x,y) with scale factor s centred at (p,q) is given by
P'=(p+s*(x-p),q+s*(x-q))
Substituting
s=2, p=2,q=2
P'=(2+2*(x-2),2+2*(y-2))
P P'
(2,4) (2+2(2-2), 2+2*(4-2)) = (2, 6)
(0,6) (2+2(0-2), 2+2*(6-2)) = (-2, 10)
(-3,3) (2+2(-3-2), 2+2*(3-2)) = (-8, 4)
If you have a graphing calculator (such as a TI-84), you can use the normalcdf feature by clicking on the blue "2nd" button, then the "vars" button and then choice 2. Since you are finding the proportion of hybrids that get over 61 mpg, the lower bound is 61, the upper bound is infinity (you can type in 99999), the mean is 57, and the standard deviation is 3.5. So... normalcdf(61,99999,57,3.5) = .1265. This means that 12.65% of the hybrids get over 61 mpg.
Step-by-step explanation:
At first we can find AC
then we can find m<A and m< C
or, m<C and then m< A
m<B is already given in the question so there is no need of finding it.
first, you would rearrange the equation so that like terms were next to each other.
7y - 5y - x2 + 2x2 +3x - 17x
then you would reduce the equation based on like terms
2y + x2 - 14x
then simply rearrange the equation to get the answer, which is <u>B</u>
