Answer: (y-3)^2= 52(x+7)
The focus is (-10, -7) and the directrix is x=16. The y-coordinate of the vertex should be same as the focus(k=-7). Then the x-coordinate of the vertex would be:
p + (-10)= 16 - p
2p= 16 + 10
p=26/2= 13
The x-coordinate of the vertex would be:
h= p+ (-10)
h= 13 - 10= 3
The vertex coordinate would be: (h, k)= (3, -7)
For a vertex (h, k), the formula for equation would be
(y-k)^2=4 p(x-h)
(y-3)^2= 4*13(x--7)
(y-3)^2= 52(x+7)
Answer:
2000 times
Step-by-step explanation:
Given
Sara:
Sam:
To determine the number of times, the mass of Saturn is greater than the mass of Mercury, we simply do the following:
Using Sara's measurement; this gives:
Apply law of indices
Approximate
Company X - 5.00-.37=4.63/.08=57
You get 57 minutes for this company
Company Y - 5.00-.52=4.48/.14=32
You get 32 minutes for this company
Company X gives you more minutes for $5.00
Answer:
Step-by-step explanation:
Let 
represent the amount of money he initially started with.
After he spent 20% on books, he will have 
of his initial money left. We can represent this as 
.
Following that, the boy spends 20% of the remainder of his money on food. Similarly, he will have of the remainder of money he had left after he purchased the books. Therefore, he ends up with 
of his money left.
Since we're given that he had $2,000 after all these transactions, we have the following equation:
Divide both sides by 0.64 to isolate and solve for :
Therefore, the boy had $3,125 to begin with.
