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KatRina [158]
3 years ago
15

PLEASE HELP find the vertex of f(x)=x^2+2x+3 (make sure you show your work)

Mathematics
1 answer:
kotegsom [21]3 years ago
4 0

Answer:

(- 1, 2)

Step-by-step explanation:

Given a quadratic in standard form y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = x² + 2x + 3 ← is in standard form

with a = 1 and b = 2, hence

x_{vertex} = - \frac{2}{2} = - 1

Substitute x = - 1 into f(x) for corresponding value of y

f(- 1) = (- 1)² + 2(- 1) + 3 = 1 - 2 + 3 = 2

vertex = (- 1, 2 )

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Answer:

x= -5,5 and -3,3

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3 years ago
Huda made 8 matching bracelets. She used 128 beads in all. How many beads did she use per bracelet?
Elden [556K]

Answer:

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8 0
3 years ago
Which points can be used in the diagram as the third vertex to create a right triangle with hypotenuse XY? Select all that apply
Serga [27]

Answer:

(-2,-2) and (3,4)

Step-by-step explanation:

Edge 2020

7 0
2 years ago
Read 2 more answers
The scale factor from a small triangle ABC to a large triangle XYZ is 5. How many times larger will the perimeter of triangle XY
Ierofanga [76]

Answer:

Answer below :)

Step-by-step explanation:

Hi there!

Question 4 - the answer will be 5. Since the scale factor is 5, we would (hypothetically) multiply the area by 5 to get the new area of XYZ, so area XYZ is 5 times the area of ABC.

Question 5 - A.

First we multiply 45 by 12 to find the amount in inches. This is 540. Now, we divide that by 6 to get 90. This is our scale factor in inches, but the answers only show the scale in feet, so we have to convert. Divide 90 by 12 to get 7.5.

I hope this helps!

4 0
2 years ago
If two cylinders are similar and the ratio between the altitude lengths is 2:3, what is the ratio of their volumes
hram777 [196]
Given:

ratio of altitude height = 2/3

Required:

ratio of volume

Solution:

Assuming that the only difference that the cylinders has is the height, we can solve for the ratio of the volume.

The volume of a cylinder is equal to πr²×height.

ratio of volume = πr²×2/πr²×3

We cancel the pi and the r² since we assume that the cylinders have the same radius.By cancelling, we are left with:

ratio of volume = 2/3
8 0
3 years ago
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