the equation for a parabola with focus (h, k+p) and directrix y=k-p is
so using your directrix y=-3, and knowing directrix is y=k-p, you have
-3=k-p.
similarly, knowing the focus is defined by (h,k+p) and your focus is (-5,-1)
you have the equation -1=k+p.
you now have a system of equations
which you can solve using any method, I will use elimination.
adding down
you now have k and can find p using either equation.
.
now you plug those in, getting the answer
Answer:
x=14
PN=MN=85
Step-by-step explanation:
It is an isosceles triangle because PQ=MQ and QN is perpendicular to PM. PN=MN
8x-27=6x+1
2x=28
x=14
PN=MN=85
Answer:
In scientific notation, that would be;
7.0 * 10^-7 m
Step-by-step explanation:
Here, we want to write the given diameter in scientific notation
Mathematically, that can be done by moving the decimal point to the back of 7
The number of times we move will be counted as negative powers of 10 host
Thus, we have;
7.0 * 10^-7
Answer:
D
Step-by-step explanation:
pi = 3.14
r = 3
3.14 x 3x^2
= 28.26x^2