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larisa86 [58]
3 years ago
12

Graph (x-4)^2/4 + y^2/9 = 1

Mathematics
2 answers:
gregori [183]3 years ago
8 0

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Compare the equation to that of an ellipse with center (h, k) and axes of lengths 2a and 2b.

  ((x -h)/a)^2 +((y -k)/b)^2 = 1

We see that (h, k) = (4, 0) and a=2, b=3.

This tells us the center of the ellipse is (4, 0), the major axis is parallel to the y-axis, and the minor axis is parallel to the x-axis. The ellipse extends ±2 units from its center in the x-direction and ±3 units from its center in the y-direction.

Gnoma [55]3 years ago
6 0

Answer:

It is graph C on edge.

Step-by-step explanation:

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15 is 25% of what number
kogti [31]

Answer: 15 is 25% of 60


Step-by-step explanation:

15/.25=60

4 0
3 years ago
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The length of a field is three times its width.    If the perimeter is 64 m, what is the width of the field?   A. 8 m   B. 16 m
Masja [62]
A 8

If width is x, then length is 3x
x+x+3x+3x = 8x= 64, then x=8 m
7 0
4 years ago
Which value of x satisfies the equation 5(2x-9)+3=-7
vodka [1.7K]

Answer:

x = 7 / 2

Step-by-step explanation:

5(2x - 9) + 3 = -7    ---------- subtract 3 from both sides

5(2x - 9) + 3 - 3 = -7 - 3

5(2x - 9) = -10   ------ divide both side by 5

2x - 9 = -2      ---------- add 9 to both sides

2x - 9 + 9 = -2 + 9

2x = 7

x = 7 / 2

7 0
4 years ago
The area of a certain rectangle is 288 yd2. The perimeter is 68 yd. What are the dimensions of the rectangle?
arsen [322]

Answer:

The rectangle is 16*18

Step-by-step explanation:

The area of a rectangle is length * width and the perimeter is 2 times length * width

A = l*w

P = 2(l+w)

Replacing A and P

288 = l*w

68 = 2(l+w) => 34 = l+w => 34 - w = l

replacing l in the area

288 = (34 - w) w

w^2 - 34w + 288 = 0

(w - 16)(w - 18)

w = 16

w = 18

replacing in 34 - w = l

you get that when w = 16, l = 18 and when w = 18, l = 16

8 0
4 years ago
Jacob plans to work at his family's restaurant this summer to make some extra money. His parents have agreed to pay him $9.75 pe
san4es73 [151]

Answer:

There is a direct relationship between the amount of money that Jacob earns and the number of hours he works.

Step-by-step explanation:

In math, a direct relationship exists when a change in one variable causes another variable to change in the same manner. E.g. if variable X increases, then variable Y will increase. If variable X decreases, then variable Y will decrease.

In this case, if Jacob works 25 hours per week, he will earn $243.75. If he works 30 hours, he will earn $292.50. But if he only works 20 hours, he will earn $195.

4 0
3 years ago
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