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Andreyy89
3 years ago
13

write the vertex form quadratic equation which has a vertex at (2,-1) and psses theough the point (4,3)

Mathematics
1 answer:
andrey2020 [161]3 years ago
8 0

Answer:

Step-by-step explanation:

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Write an equation of the ellipse with foci at (0, ±9), and vertices at (0, ±13).
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Write an equation of the ellipse with focus at (0,+-9) and vertices at (0,+-13)

The major axis is along  the  y-axis

We need to find " b"  = √[a^2  − c^2] =  √ [ 13^2 − 9^2]  = √ [169 − 81]  = √88

So.... the equation is

y^2 / a^2     +     x^2 / b^2      =   1

y^2 / 169   +     x^2 / 88      =   1

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3 years ago
Carlos reads a book for language arts class.He finished the book on Friday.On Monday he read 27 pages.On Tuesday he read 31 page
zavuch27 [327]

Answer: 29

Step-by-step explanation:

The total is 144. We know Monday, Tuesday, and Wednesday. It says the same number of pages were read Thursday and Friday. By adding up Monday, Tuesday and Wednesday you should get 86. Now to find out how many need to be read to finish the book you would subtract that from 144. You would then get 58 and divide by 2; giving you 29

5 0
4 years ago
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What is X in this equation?<br> 3x+55=9x-5<br><br>Please Explain.​
klasskru [66]

Answer:

x = 10

Step-by-step explanation:

3x + 55 = 9x - 5  (add 5 to both sides)

3x + 55 + 5 = 9x - 5 + 5

3x + 60 = 9x  (subtract 3x from both sides)

60 = 9x - 3x

60 = 6x (rearrange)

6x = 60   (divide both sides by 6)

x = 60/6

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3 0
4 years ago
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What is the distance between parallel lines whose equations are y = 2x + 7 and y = 2x – 3?
malfutka [58]

Answer:

The distance is \sqrt{20} or 2\sqrt{5}.

Step-by-step explanation:

Slope of parallel: 2

Slope of perpendicular: -1/2

Pick a point for y =2x + 7. For example (0,7)

Use the perpendicular slope to get to the other line to find the other point of y=2x-3. Look at the screenshot...I got (4,5).

Distance formula \sqrt{(x_{2}-x_{1} )^{2}+(y_{2} -y_{1})^2   }

Insert (0,7) and (4,5)

\sqrt{(0-4)^{2}+(7-5)^2   } = \sqrt{(-4)^{2}+(2)^2   } = \sqrt{(16)+(4)}  } = \sqrt{20}  = 2\sqrt{5}

6 0
3 years ago
suppose you earn $12 each time you mow the lawn. which function describes the relationship between your total earnings E and the
soldi70 [24.7K]
Since you get $12 for every time, you can multiply that by the number of times you do it.

E = 12m
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3 years ago
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