The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.
<h3>How to calculate the ellipse? </h3>
From the information given, the equation of parabola will be:
= (x - 3)²/5² + (y - 2)²/3² = 1
Hence, h = 3, k = 2, a = 5, b = 3
e = ✓1 - ✓3²/5²
E = 4/5 = 0.8
The directix will be:
x = 3 + 5/0.8
x = 9.25
x = 3 - 5/0.8
x = -3.25
Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.
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Answer:
Tommy had 56 cents in start and Loren had 7 cents in start.
Step-by-step explanation:
Let,
x be the money Tommy have.
y be the money Loren have.
According to given statement;
Tommy had 8 times more money than Loren.
x = 8y Eqn 1
Parents gave 35 cents to Loren and Tommy spent 14 cents, therefore
x-14=y+35 Eqn 2
Putting x=8y in Eqn 2
Dividing both sides by 7
Putting y=7 in Eqn 1
Hence,
Tommy had 56 cents in start and Loren had 7 cents in start.
Answer:
0.5 yd/min
Step-by-step explanation:
30yd/60min
= 0.5 yd/min
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Answer:
The area is approximately 453 ft²
Step-by-step explanation:
Area of a circle =
If = 22/7, and r = 12 ft
Area = (22/7)×12²
= 3.143*144
= 452.592 ft²
≈ 453 ft²
Answer:
71 degrees
Step-by-step explanation:
A right angle is 90 degrees, so the answer is 90-19=71 degrees.