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Oliga [24]
3 years ago
12

What is the equation of the quadratic graph with a focus of (−4, seventeen eighths ) and a directrix of y = fifteen eighths

Mathematics
1 answer:
Lunna [17]3 years ago
5 0
Standard form for a parabola:
( x - h )² = 4 p ( y - k )
Vertex: ( h, k ) = ( -4, 2 )
Displacement from vertex to focus:
p = 2/8 = 1/4
( x + 4 )² = 4 · 1/4 ( y - 2 )
y = ( x + 4 )² + 2
or general form: 
x² + 8 x - y + 18 = 0 
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keisha got a fish tank. It fits on table that is exactly 10 inches wide and 12 inches long. When the tank is filled, it can hold
MatroZZZ [7]

Answer: 15 inches is the height of Keisha's fish tank.

Step-by-step explanation: Basically, multiply your length x width, which is 12 x 10. 12 x 10 = 120.

Next, divide 1800 by 120.

1800 divided by 120 is 15.

So, 15 inches is the height of the fish tank.

5 0
3 years ago
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masha68 [24]
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The area of a triangular block is 49 square inches. If the base of the triangle is twice the height, how long are the base and t
andrezito [222]
1) Formula: area = height * base / 2

2) Call x the height:

height = x

base = 2x

3) State the equation:

(x)(2x) = 49 in^2

4) Solve the equation:

2x^2 = 49 in^s

x^2 = (49/2) in^2

x = √(49/2) in

x = 7√2 / 2 in = 3.5 √2 in

5) Solution:

height = 3.5 √2 in and base = 7√2 in

6) Verification: area = (7√2 in) (3.5√2 in) = 49 in^2

Answer: height = 3.5√2 in and base = 7√2 in.
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3 years ago
A radio station requires DJs to play 2 commercials for every 10 songs they play.What is the unit rate of songs to commercial?
Wittaler [7]
The DJs unit rate is 5 songs for every 1 commercial.

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7 0
3 years ago
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Answer this plzzz my lil brother needs help
GREYUIT [131]

Answer:

6/8 or 3/4

Step-by-step explanation:

Because the denominator is the same, just add all the numerators, 1+2=3, then 3+3=6. So 6/8 or when simplified, 3/4.

4 0
3 years ago
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