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sergejj [24]
2 years ago
14

Write the equation for a parabola with a focus at (0,-5) and a directrix at y=-3

Mathematics
1 answer:
VMariaS [17]2 years ago
8 0

Answer:

y=− x^2 /4-4

Step-by-step explanation:

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liubo4ka [24]

Take the sequence in 1a

The 10th term is 31

The 20th is 61

If you wanted to find these by continuing the series, you'd have to add 3 to the last number in the series, then 3 more, then 3 more, until you reach the 20th term. By this point, you will have added 3 to the first term 19 times. That's where the formula comes from. So here,

a = 4, the first term

n = 20, the number of the term we need

d = 3, how much we're adding each time between one term and the next

Then, to get the 20th term,

4 + (20 - 1) • 3 = 4 + (19 • 3) = 4 + 57 = 61

Answers

The 10th and 20th terms of each sequences are

a. 31; 61

b. 48; 98

c. 47; 97

(in <em>c</em>, you're adding the same <em>d</em> as in the sequence above, but your first term is one unit less)

d. -25; -75

(same thing as before, but now, <em>d</em> is negative)

e. 11.5; 16.5

(with <em>d</em>=1/2 or 0.5)

f. 6+1/2; 8+1/2

Use these to check your answers after applying the formula, but know that I calculated on the fly and didn't check these.

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3 years ago
Help me out the meaning
WITCHER [35]

slope intercept form:

y = mx + b

m = slope

b = y-intercept

the y-intercept is the place on the y-axis (vertical) where the line crosses. In this problem, the line crosses at (0,4), meaning the y-intercept is 4.

y = mx + 4

the slope is technically the rate of change (rise over run) bewteen points.

If you take the distance from point (-1,3) and (0,4) you get a slope of 1/1, or just 1

y = 1x +4

this could also be:

y = x + 4

(because the 1 is invisible but still there)

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