Ok
so the focus is on the opening side of the parabola
so for a vertex of (h,k)
opening up and down
(x-h)²=4p(y-k)
p is the distance from vertex to focus
it is also the distance from the vertex to the closes point on directix
2p=distance from focus to directix
p is positive if the focus is above the directix
ok
y=9 and (7,6)
9>6
directix is above the vertex
p is negative
find distance
from 9 to 6 is 3
3=2p
1.5=p
p is negative
and the vertex will be 1.5 above the focus and 1.5 below the directix
vertex is (7,7.5)
(x-7)²=4(-1.5)(y-7.5) is de equation
Answer:
Jamal travels at a speed of 5 mph and Diego travels at a speed of 12 mph.
Step-by-step explanation:
Jamal's speed is of x mph.
Diego's speed is of (x + 7) mph.
Opposite directions.
This means that each hour, they will be x + x + 7 = 2x + 7 miles apart.
After 4 hours they are 68 miles apart, how fast is each traveling?
Using a rule of three.
1 hour - 2x + 7 miles apart.
4 hours - 68 miles apart.
![4(2x + 7) = 68](https://tex.z-dn.net/?f=4%282x%20%2B%207%29%20%3D%2068)
![8x + 28 = 68](https://tex.z-dn.net/?f=8x%20%2B%2028%20%3D%2068)
![8x = 40](https://tex.z-dn.net/?f=8x%20%3D%2040)
![x = \frac{40}{8}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B40%7D%7B8%7D)
![x = 5](https://tex.z-dn.net/?f=x%20%3D%205)
Jamal travels at a speed of 5 mph and Diego travels at a speed of 12 mph.
Answer:
4.2 inches
Step-by-step explanation:
Area of rectangle = base × height
base b, = 15 inches
height h, = unknown
area = 63 inches²
63 = 15 × h
h = 63/15
= 4.2 inches
Answer:
x=4
y=4√5
Step-by-step explanation:
Set up 3 right triangles and mark their respective angles. The largest will have sides (in typical a,b,c[hypotenuse] order) y, z, and 10. The middle 8, x, and y. The smallest x, 2, and z.
Then since they are all similar triangles, using the midde and smaller triangles, set up the proportionin which both A sides when divided are equal to the B sides.
So 8/x = x/2
Cross multiply and get 16=x^2.
The square root of 16 is 4, so x is 4.
Then using the larger and middle triangles, do the same for the A and C sides.
So y/8 = 10/y.
Cross multiply and get 80=y^2.
Find the square root of it, which since it doesn't have a perfect square, you use a calculator or the whatever theorem and get √4*4*5 or simply 4√5.
So x = 4 and y = 4√5
The computation shows that the total distance will be 260.52km.
<h3>How to compute the value?</h3>
From the information given, it was stated that the race has 78 laps through the town of Monte Carlo and that each lap of the race has a distance of 3.34 km.
Therefore, the total distance will be:
= 78 × 3.34
= 260.52 km
Therefore, the distance is 260.52km.
Learn more about computations on:
brainly.com/question/4658834
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