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Pie
3 years ago
9

What is the vertex of the following quadratic equation?

Mathematics
1 answer:
kifflom [539]3 years ago
4 0

Answer:

C.(-5, 4)

Step-by-step explanation:

The vertex form of a parabola of this type is:

y = a ( x − h ) 2 + k  [1]

where  ( h , k )  is the vertex.

Explanation:

Given:

y = 7 ( x + 5 )² + 4  [2]

We can convert equation [2] into the same form as equation [1] by writing  

+5  as − − 5 :

y = 7 ( x − − 5) ² + 4  [3]

We observe that the vertex is

( − 5 , 4 )

hope it will help :)

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3 years ago
There are 6 people in edema family.Beach person drinks2\5 of a gallon of milk each week .How many gallons of milk does Den's fam
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3 years ago
Determine the area under the standard normal curve that lies to the right of the z-score 0.48 and to the left of the z-score 0.7
pychu [463]

Answer:

The area lies to the right of the z-score 0.48 means all the values greater than it. This can be calculated on a graphing calculator using the function normCdf, where

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  • Upper bound = 9999
  • Mean = 0
  • Standard deviation = 1

<u>The result would be normCdf(0.48,9999,0,1) ≈ </u><u>0.315614</u>

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The area lies to the left of the z-score 0.79 means all the values less than it. This can be calculated on a graphing calculator using the function normCdf, where

  • Lower bound = -9999
  • Upper bound = 0.79
  • Mean = 0
  • Standard deviation = 1

<u>The result would be normCdf(-9999,0.79,0,1) ≈</u><u> 0.785236</u>

6 0
2 years ago
Find the ratio of the area inside the square but outside the circle to the area of the square in the picture
Eduardwww [97]

Answer:

0.2146

Step-by-step explanation:

From the picture:

The radius of the circle = r. This means that the area of the circle = πr²

Also For the square, the length of the square = 2r, Therefore the area of the square = Length × length = 2r × 2r = 4r²

The area inside the square but outside the circle = Area of square - Area of circle = 4r² - πr² = r²(4 - π) = 0.8584r²

The ratio of the area inside the square but outside the circle to the area of the square =  r²(4 - π) / 4r² = (4 - π) / 4 = 1 - π/4 = 0.2146

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3 years ago
Can you help me on this geometry question?
Lubov Fominskaja [6]
What is the question?
3 0
2 years ago
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