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aniked [119]
2 years ago
5

What is the vertex of the graph of y = x^2+ 4x?

Mathematics
1 answer:
xxTIMURxx [149]2 years ago
6 0

Answer:

(-2, -4)

Step-by-step explanation:

You can complete the square of the equation to get

y+(4/2)^2 = x^2+4x+(4/2)^2

y+4 = x^2 + 4x + 4

y+4 = (x+2)^2

y = (x+2)^2 - 4

This gives the form y = a(x-h)^2 + k where (h, k) is the vertex of the equation. You can also arrive at the same conclusion by making some observations of the equation. (x+2)^2 minimum value is going to be 0 since and negative values resulting from x+2 is going to become positive because of the square. So the minimum value is when x+2 is 0 or when x is equal to -2 and when it's at that minimum value of 0 it's going to have 4 subtracted from it which gives the vertex of (-2, -4)

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Answer:

2.67 and 4.67 I think .........

8 0
3 years ago
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One hundred twenty feet of fencing encloses a rectangular garden on three sides. One side of the garden is the side of a barn an
andre [41]

Answer: The garden has dimensions 30 ft wide X 60 ft long

Step-by-step explanation:

Denote by W the width of the garden and L the length of the garden (longer side) as in the figure attached. The red sides on the figure represent the parts of the garden that require fencing.

L is also the measure of a vertical side of the garden, because a rectangle consists only of vertical and horizontal sides.

We know that the barn is parallel to the longer (vertical) side, so only one of the vertical sides L of the rectangle needs fencing. The other two parts correspond to the horizontal sides of the rectangle so they require 2W feet of fencing. Altogether, the 120 ft of fencing enclose the L+2W ft of the fence, then 120=L+2W. Because the longer side is twice the width, we have that L=2W, so 120=2W+2W=4W. From here, W=30 ft and L=2(30)= 60ft.  

5 0
3 years ago
What is the area of the parallelogram?
Bezzdna [24]

The area of the parallelogram is mathematically given as

A = 7 square units Option B

<h3>What is the area of the parallelogram?</h3>

Generally, the equation for a parallelogram is mathematically given as

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Where

b=\sqrt{4^2+1^2}

b=4.123

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H=1.75

Hence

A=3*1.75

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In conclusion,  a parallelogram

A = 7 square units

Read more about parallelogram

brainly.com/question/1563728

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6 0
2 years ago
Evaluate h -2 g for h = 3 and g = 27.
Maurinko [17]
H-2g=3-2(27)
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3 years ago
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Solve the following:
IrinaVladis [17]

Answer:

−4

Step-by-step explanation:

7 0
3 years ago
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