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stich3 [128]
3 years ago
15

Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7.

Mathematics
2 answers:
Alecsey [184]3 years ago
7 0

<u><em>Answer:</em></u>

y^2 = 28x

<em><u>Step-by-step explanation:</u></em>

Since the directrix is horizontal, use the equation of a parabola that opens left or right.

(y−k)^2 = 4p(x−h)

Find the vertex.

(0,0)

Find the distance from the focus to the vertex.

p = 7

Substitute in the known values for the variables into the equation

(y−k)^2 = 4p(x−h).

(y−0)^2 = 4(7)(x−0)

Simplify.

<em>y^2 = 28x</em>

Veronika [31]3 years ago
5 0

Answer:

x = - 1/28 y^2

Step-by-step explanation:

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You plan to take a 7-day trip to California. You estimate that it will cost $275 per day to visit Los Angeles, and $400 per day
Viktor [21]

Answer:

You can spend 4 days in Los Angeles and 3 days in San Francisco.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=7 (1)

275x+400y=2,300 (2), where:

x is the number of days to visit Los Angeles

y is the number of days to visit San Francisco

First, you can solve for x in (1):

x=7-y (3)

Now, you can replace (3) in (2):

275(7-y)+400y=2,300

1,925-275y+400y=2,300

125y=2,300-1,925

125y=375

y=375/125

y=3

Finally, you can replace the value of y in (3) to find x:

x=7-3

y=4

According to this, the answer is that you can spend 4 days in Los Angeles and 3 days in San Francisco.

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3 years ago
Find the measure of angle C of a triangle ABC, if angle A=a and angle B= 2a.
erma4kov [3.2K]
3.14 - 3a Radians

Because
180o = 3.14 radian
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MATH Intervention Math - Unit 2: Expressions, Sequences, and Logic
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What is the LCD of 3/5, 1/10, 1/2
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The LCD of 3/5 1/10and 1/2 is 10. This is because 10 is the smallest number that 5, 10 and 2 are all divisible by.
8 0
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Insert grouping symbols so that the given expression has a value of 34. 14 + 10 – 6 • 8 – 3
Naily [24]

The correct answer is D. 14 + (10 – 6) • (8 – 3).

That's because in each of the other answers, we are subtracting a greater and greater number. But in this version, we are first completing the parenthesis, which gives us the following.

14 + (10 – 6) • (8 – 3)

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Now we complete the multiplication.

14 + 20

And we end with the addition.

34

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4 years ago
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