Convert to (x-h)^2=4p(y-k) form
(h,k) is vertex
p is distance from vertex to directrix and from vertex to focus
if p is negative, then it opens down (directix is above vertex and focus)
if p is positive, then it opens up (directix is below vertex and focus)
complete the square for x
y=-5(x^2-12x)-176
y=-5(x^2-12x+36-36)-176
y=-5((x-6)^2-36)-176
y=-5(x-6)^2+180-176
y=-5(x-6)^2+4
minus 4 both sides
y-4=-5(x-6)^2
divide both side by -5
(-1/5)(y-4)=(x-6)^2
(4)(-1/20)(y-4)=(x-6)^2
vertex is (6,4)
negative so opens down, directix is 1/20 units down from (6,4)
4 is up and down so 4-1/20=3.95
the directix is (6,3.95)
Answer:
5: d
6: c
7: parallel
Answer:
B) 
Step-by-step explanation:
To find the expression equivalent to 
, we must simplify the given expression. This can be done by applying an exponent rule:
In the context of our problem, we would have:
Therefore, when that exponent is distributed, we get:
Simplified, we have:
<u>Answer:
</u>
A loan for $1,200 has an annual interest rate of 5.2%. There is a $15 processing fee to receive the loan. The loan’s APR is 5.2%
<u>Solution:
</u>
Since full form of APR is Annual Percentage Rate and it is defined as rate of interest for whole year which means it is same as annual interest rate. Also processing fee is totally different component.
So APR = annual interest rate ----- eqn 1
Given that a loan of $1200 has an annual interest rate of 5.2% .
So by using eqn 1 we can say APR = annual interest rate = 5.2%
Hence APR for a loan of $1200 is 5.2%
Answer:
B=27
Step-by-step explanation:
4/3b-11=25
4B-33=75
4B=75+33
4b=108
B=27
