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Mnenie [13.5K]
3 years ago
5

What is the vertex of the parabola with the equation y=1/5x^2 + 2x - 8

Mathematics
1 answer:
bixtya [17]3 years ago
8 0

Answer:

(-5,-13)

Step-by-step explanation:

Find the vertex of the parabola y=1/5x^2+2x−8.  

In this equation a=15  and b = 2.  

x= -2/2(1/5) = -2/2/5 = -2/1 * 5/2 = -5

Substitute −5 into the equation y=1/5x^2+2x−8

y=1/5(−5)^2+2(−5)−8

y=5−10−8

y=−13

The vertex is (−5 , −13)

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3 years ago
Write the standard form of the equation of the circle with center (-5,-7) that passes through the point (7,5).
shutvik [7]

Answer:

(x + 5)² + (y + 7)² = 288

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

The radius is the distance from the centre (- 5, - 7) to the point on the circle (7, 5)

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 5, - 7) and (x₂, y₂ ) = (7, 5)

r = \sqrt{(7+5)^2+(5+7)^2} = \sqrt{12^2+12^2} = \sqrt{288}

Hence

(x - (- 5))² + (y - (- 7))² = (\sqrt{288})², that is

(x + 5)² + (y + 7)² = 288

4 0
3 years ago
What is 8n-(2n-3)=12 ?
bixtya [17]
Okay luv so let's solve this equation together:
8n-(2n-3)=12
simplify
8n+-1(2n-3)=12
8n+-1(2n)+(-1)(-3)=12
8n+-2n+3=12
(8n+-2n)+(3)=12 Combine like terms
6n+3=12
Then subtract from both sides
6n+3-3=12-3
6n=9
Then divide both sides by 6
6n/6=9/6
so...n=3/2


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Hence, we can see that since your question is incomplete as it does not include the initial amount of both Demarco and Tanya, then a final payout cannot be found.

Read more about investments here:

brainly.com/question/25300925

#SPJ4

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