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topjm [15]
3 years ago
11

Complete the square to write each ellipse in standard form. x^2 + 4y^2 + 24y = 32​

Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0

Answer: Okay, the answer is x^2/68+(y+3)^2/17=1.

Step-by-step explanation: Step. 1 Complete the square for 4y^2+24y: 4(y+3)^2−36.

Step 2. You’ll need to substitute 4(y+3)^2−36 for 4y^2+24y in the equation x^2+4y^2+24y=32: x^2+4(y+3)^2–36=32.

Step 3. So you’ll need to move –36 to the right side of the equation by adding 36 to the both sides: x^2+4(y+3)^2=32+36.

Step 4 You add 32 and 36: x^2+4(y+3)^2=68.

Step 5. You divide each term by 68 to make the right side equal to one: x^2/68+4(y+3)^2/68=68/68.

And step 6. You’ll need to simplify each term in the equation in order to set the right side equal to 1. The standard form of an ellipse or hyperbola requires the right side of the equation be 1: x^2/68+(y+3)^2/17=1. I hope you download Math-way app to calculate this ellipse in standard form to be extremely helpful, please mark me as brainliest, and have a great weekend! :D

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What's are the factors of 60a
polet [3.4K]
Question D:

The terms in the expression are '60a' and '30c'

Question E:

Factors of 60a could be 

2 × 30 × a
3 × 20 × a
4 × 15 × a
5 × 12 × a
6 × 10 × a

Question F

Factors of 30c could be
2 × 15 × c
3 × 10 × c
5 × 6 × c

Question G

Coefficient of 60a is '60'
Coefficient of 30c is '30'

Question H

The meaning of the two terms

Term '60a' means multiply the value of 'a' by 60 to find the total cost for 'a' number of adults

Term '30c' means multiply the value of 'c' by 30 to find the total cost for 'c' number of children

3 0
3 years ago
24. A pair of shoes with a regular price of $90 is on sale for 30% off. Miguel has a coupon for an additional 5% off the
DochEvi [55]
The answer is b , 90•.35= 31.5 90-31.50 = 58.50
7 0
3 years ago
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Help meeeeee<br>whats 1/2+3/4+3/8 who ever helps is awesome ​
Sati [7]

Answer:

13/8

Step-by-step explanation:

1/2+3/4+3/8

denominator should be 8

4/8+6/8+3/8

add

13/8

8 0
3 years ago
Describe what congruent figures and similar figures have in common <br>​
artcher [175]

Answer:

Congruent figures have the same measurements in angles (degrees) and sides (units).

Similar figures are figures that have the same general shape and don't necessarily have to have the same size or measurements.

Something they have in common are corresponding angles and corresponding sides.

4 0
3 years ago
3000 millimeters equals how many meters
Zielflug [23.3K]

In 1 meter there are 1,000 millimeter.

When you go from small (mm) to big (m) you always divide the small (mm) by what the equivalent of 1 big (m) but in terms of the small (mm)

^^^That's a bit confusing so I will work it out so it makes more sense...

3,000 / 1,000

               ^ this is the equivalent to 1 meter (the big in this case)

3 m = 3,000 mm

Hope this helped! Let me know if there is anything else that I can do!

4 0
3 years ago
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