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drek231 [11]
2 years ago
13

A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0). What is the equation of the directrix? x=−4 y=−

4 x=4 y=4
Mathematics
2 answers:
rewona [7]2 years ago
7 0

Answer:

Step-by-step explanation:

The vertex and focus are horizon aligned, so the parabola is horizontal and the directrix is a vertical line.

The vertex is halfway between focus and directrix. Directrix: x = -4

Greeley [361]2 years ago
5 0

Answer:

-4

Step-by-step explanation:

Got it right on edge

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Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31) .
Zinaida [17]

Answer:

\sf y=9x-5

Step-by-step explanation:

\begin{aligned}&\sf y-y_1=m(x-x_1) \\&\sf y-31=9(x-4) \\&\sf y-31=9x-36 \\&\sf y=9x-36+31 \\&\boxed{\sf y=9x-5} \end{aligned}

6 0
2 years ago
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Help answer please!!!!
MAVERICK [17]

Answer:

QR ≈ 16.2 ft

Step-by-step explanation:

Using the tangent ratio in the right triangle.

tan62° = \frac{opposite}{adjacent} = \frac{QR}{RP} = \frac{QR}{8.6} ( multiply both sides by 8.6 )

8.6 × tan62° = QR , then

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5 0
3 years ago
Leo's bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,
grandymaker [24]

Leo's balance after 9 months will be: $1757.49

Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

Here

a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60

Common ratio is:

r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02

So r = 1.02

The general form for geometric sequence is:

a_n = a_1r^{n-1}

Putting the first term and r

a_n = 1500 . (1.02)^{n-1}

To find the 9th month's balance

Putting n=9

a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890

Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

Learn more about geometric sequence at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

#LearnwithBrainly

5 0
3 years ago
Can anyone help me on this question please????
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Your answer is G because it cant be used to find students 59 inch tall
3 0
3 years ago
5x-3y=-11<br> x-2y=2<br> this is for home work please help
ale4655 [162]
5x - 3y = 11 ⇒ 5x - 3y = 11  ⇒   5x - 3y = 11
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                                                            <u> 5x</u> = <u>14 1/4</u>
                                                              5          5
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8 0
3 years ago
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