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Luba_88 [7]
2 years ago
6

Write the standard equation of the ellipse with center at the origin, and vertices at (-4,0), (4,0), (0, -3), and (0,3).

Mathematics
1 answer:
levacccp [35]2 years ago
5 0

9514 1404 393

Answer:

  (a)  x^2/16 +y^2/9 = 1

Step-by-step explanation:

The form for the equation of an ellipse centered at the origin is ...

  (x/(semi-x-axis))^2 +(y/(semi-y-axis))^2 = 1

The vertex values tell you the semi-x-axis is 4 units, and the semi-y-axis is 3 units. Then you have ...

  (x/4)^2 +(y/3)^2 = 1

  x^2/16 +y^2/9 = 1

__

In case you don't remember that form, you can try any of the points in the equations. The equation that works will quickly become apparent.

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Answer: 3/5

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3 years ago
Word problem that represents 8 times -0.25
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Answer:

If bob buys 8 choclates, which each of them are 0.25 dollars each, how much money does he have if he has 0 dollars?

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8 0
2 years ago
What is the amount of sales tax owed on a $350 laptop computer if the tax rate is 6%
valentinak56 [21]
What we need to do with this problem is multiply the amount the computer costs ($350) by the tax rate (6%). To do this, we first need to convert the percentage to a decimal, so we divide the 6 given by 100, leaving us with .06. Next, we need to multiply the $350 by the .06, giving us $21 as the amount we should be paying for sales tax. So your answer should be 2) $21.00!
8 0
2 years ago
Can someone please help me on these two questions tysm
Rashid [163]
Plug them in:

x + 5y = 18 
x - 3y = 10

F. (1,13)
G. (13,1)
H. (-2,4)
J. (-2,-4)

1 + 5*13 = 18 is obliviously not true so that takes out the first option.
 
13 + 5*1 = 18 : This is true but we have to check the next one.
13 - 3*1 = 10 : This is also true so we know this is the answer. We don't really need to check the other 2 but u can if u want to.

Hope that helped :) <span />
8 0
2 years ago
Adam currently runs about 20 miles per week,aND he wants to increase his weekly mileage by 30% How many miles will Adam run per
mel-nik [20]
20miles increased by 30%=new mileage added

20x.3= 6

6 miles more than his previous distance so...

6+20= 26


NOTE you can also use 1.3 instead of .3 as the percent to get the answer with out addition.

7 0
3 years ago
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