Rewrite equation in vertex form y=x^2+4x+2

Answers

Answer 1

Answer:

Answer: $y =(x+2)^2-2$

Steps:

The general vertex form of a parabola is as follows:

$y = a(x-x_v)^2+b$

where xv is the x coordinate of the vertex, a is the coefficient determining how wide/narrow the parabola is and whether it is open-up (+) or open-down (-), and b is the bias (vertical shift.

Transforming an expression into the vertex form involves completing the square step:

$y=x^2+4x+2\ny = x^2 + 2\cdot2 x+ 2 + 4 - 4= (x+2)^2-2\ny =(x+2)^2-2\n\implies x_v = -2,a=1, b=-2$

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Solve the system of equations.
y= 2x
y= x^2 - 15

Answers

Answer:

Since both equations are equal to each other given that they are both equal to y, you can say that . . .

2x = x^2 - 15

x^2 - 2x - 15 = 0

(x-5) (x+3) = 0

Zero Product Property

x = 5 ; x = -3

Solve for y:

y = 2(5) ; y = 2(3)

y = 10 ; y = 6

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Is a cell phone measured in grams or kilograms

Answers

I dont think it matters. People all over the world have diffrent units in measure ment. I hope this helped you

Madelyn jokes 190.5 meters up a mountain . I’d she is 62 percent of the way up how tall is the mountain?

Answers

The mountain is 307.26 meters tall.

Step-by-step explanation:

Given,

Distance jogged by Madelyn = 190.5 meters

This represents 62 percent of total height of mountain.

Let,

x be the height of mountain.

62% of x = 190.5

$(62)/(100)*x=190.5\n0.62x=190.5$

Dividing both sides by 0.62

$(0.62x)/(0.62)=(190.5)/(0.62)\nx=307.258$

Rounding off to 2 decimal places

x = 307.26 meters

The mountain is 307.26 meters tall.

Keywords: division, percentage

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Round 4.25 to the nearest tenth

Answers

the 5 rounds to 3 so it is 4.3

to round to the nearest tenth, look at the number in the hundredths place.
5 or above, give it a shove. 4 or below, keep it low
5 or up = round up 4 or under = leave the number
4.3

If the Side Square Is 7m. Find Its Area

Answers

Answer:

28m you are welcome thank you

If one side of the square is 7 then all the other sides should be 7 as well as the sides of a square are equal.

Therefore you would do 7x7=49cm2

0.13x0.11=????????????????

Answers

Answer:

0.0143 in decimal form

Step-by-step explanation:

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