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4 years ago

Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = -1

1 answer:

8 0

From the given information, the parabola is a regular parabola facing up with vertex at (-5, 2).
Required equation is (x + 5)^2 = 4p(y - 2)

But 2 + p = 5 => p = 5 - 2 = 3

Therefore, required equation is (x + 5)^2 = 4(3)(y - 2)
(x + 5)^2 = 12(y - 2)
y - 2 = 1/12 (x + 5)^2
y = 1/12 (x + 5)^2 + 2
f(x) = 1/12 (x + 5)^2 + 2

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Dominic goes jogging every morning. If m represents the number of miles he jogs each day, which expression represents the

Mazyrski [523]

Answer:

Step-by-step explanation:

Let m be the miles he jogs each day

No. of days in a week = 7

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3 years ago

Grade 7 students were surveyed to determine how many hours a day they spent, on average, doing various activities. The results a

otez555 [7]

Hello,

There are 24 hours in a day. If 25% of your day is spent at school, then you spent (24)(0.25) = 6 hours at school.

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3 years ago

WILL MARK YOU BRAINLIEST, PLEASE HELP!!!

lutik1710 [3]

Given:ABCD is a rhombus.

To prove:DE congruent to BE.

In rombus, we know opposite angle are equal.

so, angle DCB = angle BAD

SINCE, ANGLE DCB= BAD

SO, In triangle DCA

angle DCA=angle DAC

similarly, In triangle ABC

angle BAC=angle BCA

since angle BCD=angle BAD

Therefore, angle DAC =angle CAB

so, opposite sides of equal angle are always equal.

so,sides DC=BC

Now, In triangle DEC and in triangle BEC

1. .DC=BC (from above)............(S)

2ANGLE CED=ANGLE CEB (DC=BC)....(A)

3.CE=CE (common sides)(S)

Therefore,DE is congruent to BE (from S.A.S axiom)

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3 years ago

Five pounds of bananas cost $2.35. How much does it cost per pound?

andrezito [222]

Answer:

The answer is 0.47

Step-by-step explanation:

You can get this answer by doing division 5 divided by 2.35 and

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4 years ago

Which of the following would be a good reason to place your money into a savings account? a. You can purchase stocks with a savi

mart [117]

Answer: B. a savings account earns interest

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Saving is one such option. The money in savings earns interest and is highly liquid, meaning it can be used at any time. In addition, saving is a very...

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3 years ago