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Art [367]
2 years ago
5

Five Questions FIFTY POINTS...look please don't just get this points I really need help in math rn. tysm for your help really ne

ed it..no links please..
Question 1
Solve.

−3 2/3=x−1 1/4

What is the solution to the equation?

Enter your answer as a simplified mixed number in the box.
Question 2
Solve.

x − (−2 5/6)= −1/5

What is the solution to the equation?

Enter your answer as a simplified mixed number in the box.
Question 3
Solve.

−3 2/3x=−2 1/5

What is the solution to the equation?

Enter your answer as a simplified fraction in the box.
Question 4
Solve for m.

−3/7m=12

m=−28
m=−26
m = 26
m = 28
Question 5
Solve for b.

−1/3b=9

b=−27
b=−3
b = 3
b =27
Mathematics
1 answer:
telo118 [61]2 years ago
8 0

Answer:

1) 2 5/12

2) -3 1/30

3) 3/5

4) m = -28

5) b = -27

Step-by-step explanation:

1) You may be expected to solve this a different way, but how I prefer to solve these involves converting to "improper fractions", then making everything whole.

-11/3 = x - 5/4 (convert to improper fractions)

-44 = 12x - 15 (multiply everything by 12 to get whole numbers)

-29 = 12x (add 15 to both sides)

-29/12 = x (divide both sides by 12)

2 5/12 = x (convert to a mixed number, because that's what the question asks)

For clarity, that's two and five twelfths.

2) Same thing as above. I prefer improper fractions.

x + 17/6 = -1/5 (simplify and convert to improper fractions)

30x + 85 = -6 (multiply everything by 30 to get whole numbers)

30x = -91 (subtract 85 from both sides)

x = -91/30 (divide both sides by 30

x = -3 1/30 (convert to a mixed number, because that's what the question asks)

For clarity, thats minus/negative three and one thirtieth.

3) Same thing as above.

-(11/3)x = -11/5

-55x = -33

55x = 33

x = 33/55

x = 3/5

4) Same as above, but it's multiple choice! Yay!

-3m = 84

m = -28

5) You know the drill.

-b = 27

b = -27

I'd be happy to explain more if you need it at all. I'd recommend that next time this comes up, you post just one problem and see if you can understand the method so you can better learn how to do it on your own. Good luck (:

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Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.
gladu [14]

Answer:

The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

Step-by-step explanation:

* Lets revise the equation of the ellipse

- The standard form of the equation of an ellipse with center (0 , 0 )  

  and major axis parallel to the x-axis is x²/a² + y²/b² = 1  

# a > b  

- The length of the major axis is 2a  

- The coordinates of the vertices are ( ± a , 0 )  

- The length of the minor axis is 2b  

- The coordinates of the co-vertices are ( 0 , ± b )  

- The coordinates of the foci are ( ± c , 0 ) , where c ² = a ² − b²  

* Lets solve the problem

∵ The center of the ellipse is (0 ,0)

∵ Its width is 19 units

∴ The length of the major axis is = 19

∴ 2a = 19 ⇒ divide both sides by 2

∴ a = 19/2 ⇒ ∴ a² = 361/4

∵ Its height is 12 units

∴ The length of the minor axis is = 12

∴ 2b = 12 ⇒ divide both sides by 2

∴ b = 12/2 = 6 ⇒ ∴ b² = 36

- Lets write the equation in standard form

∵ The equation is x²/a² + y²/b² = 1

∴ x²/(361/4) + y²/36 = 1 ⇒ simplify it

∴ 4x²/361 + y²/36 = 1

* The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

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Answer:

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Step-by-step explanation:

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Answer:

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