The vertex is exactly half way between directrix and focus. In this case the vertex is (8,-7)
(h,k)

P is the distance between the vertex and either the directrix or focus, in this case p = 1.

a = 1/(4p) or 1/(4*1) or 1/4

write the equation in vertex form

y = a(x-h)^2 + k

y = 1/4(x-8)^2 -7

4 0

3 years ago

The equation $a^7xy-a^6y-a^5x=a^4(b^4-1)$ is equivalent to the equation $(a^mx-a^n)(a^py-a^2)=a^4b^4$ for some integers $m$, $n$

Ksivusya [100]

Let simplify the equations $a^7xy-a^6y-a^5x=a^4(b^4-1)$ and $(a^mx-a^n)(a^py-a^2)=a^4b^4$ :

1) $a^7xy-a^6y-a^5x+a^4=a^4b^4$

and

2) $a^{m+p}xy-a^{n+p}y-a^{m+2}x+a^{n+2}=a^4b^4$ .

Equate the coefficients:

 $xy: m+p=7 \\ y: n+p=6 \\ x: m+2=5 \\ 1: n+2=4$ .
Then $n=2 \\ p=4 \\ m=3$ and mnp=24.

3 0

3 years ago

Kathleen had a bag of candy-coated chocolates. Of the 60 candies in the bag, 20% were red, 30% were orange, 30% were green, and

Genrish500 [490]

60*20% are red
60*30% are orange
60*30% are green
60*20% are blue = 12 * 20% = 2.4 blue candy chocolates that are damaged

5 0

4 years ago

Read 2 more answers

In order to join an online learning community there is a $20 start up fee and a $5 monthly fee write an equation in slope interc

faust18 [17]

100 20 x 5 Try That!!

6 0