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The lines below are perpendicular if the slope of the green line is 2/3 what is The slope of the red line

Answer:

[tex]y=\frac{1}{2}(x+6)^2-1[/tex]

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

[tex]y=a(x-h)^2+k[/tex]

Where (h, k) is the vertex of the parabola that graphically represents the function, and a is a coefficient different from zero.

The vertex of the required equation is located at (-6,-1)

The parabola passes through (-12,17)

Substituting the coordinates of the vertex, the equation of the function is:

[tex]y=a(x+6)^2-1[/tex]

The value of a will be determined by using the given point:

[tex]17=a(-12+6)^2-1[/tex]

Operating:

[tex]17=a(36)-1[/tex]

[tex]36a=18\Rightarrow a=18/36=1/2[/tex]

Solving:

[tex]a=1/2[/tex]

The equation of the parabola is:

[tex]\boxed{y=\frac{1}{2}(x+6)^2-1}[/tex]

Answer:

25

Step-by-step explanation:

multiply 3 1/2 by 6

add the answer 4 times

I THINK

Answer:

-8+3x

Step-by-step explanation:

7 – 9x – 15 + 12x

We cannot solve since there is no equals sign, we can only simplify

Combine like terms

7 -15   -9x+12x

-8          +3x

Answer:

3x - 8

Hope that was the answer you were looking for :D

Answer:

1. x = 5

Remember that all angles add up to 180, and because you know that one of the angles = 90, you can add the other two angles like so.

6x + 15 + 10x - 5 = 90

2.

Angle 1 = 43 degrees

Angle 3 = 32 degrees

Answer:

I believe the exact value is -265

Answer:

y=-2x-1

Make sure to have no spaces in your answer.( if your test said that remember to not put space between them)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The ratio for cashews to raisins is 2:16 and you can simplify that by 2 because they are factors of 2. When you simplify you get 1:8.

The ratio for dates to peanuts is 3:24 and you can simplify that by 3 since they are factors of 3. When you simplify by 3, you get 1:8 which is the same ratio for cashews to raisins.

Answer:

what?

Step-by-step explanation:

Answer:

I am cunfushion

Step-by-step explanation:

-3(n+6)+10=-8

Use distributive property:

-3n -18 +10 = -8

Combine like terms:

-3n -8 = -8

Add 8 to both sides:

-3n = 0

Divide both sides by -3:

n = 0

Answer:

n=0

Step-by-step explanation:

Step-by-step explanation:

1.)i always eat salad

2.)you ate rice

3.)She has a lot of children

4.)He drank tea

5.)i still drink wine

6.)you are students of the French language

(thanks, sorry and hope I helped)

Answer:

x=-1

Step-by-step explanation:

Answer:

X = -1

Step-by-step explanation:

I know this is in fraction form because it says out of. A fraction will say out of, for example: 3 out of 4. The number 62 boys out of 100 students can be represented as 0.62, 0.62 of 1 (100) whole number.

Hope this helps!

Answer:

15

Step-by-step explanation:

I'm assuming that b3 is the variable b times 3. So if you plug in 5 for the b variable you'd get (5)3 which is 5 times 3, or 15.

Answer:

$4.00 per pound

Step-by-step explanation:

A grocery store sells cashew nuts at $8.00 per pound and peanuts at $4.00 per pound. They want to mix 10 pounds of the cashews with peanuts to create a mixture that will sell at $6.50 per pound

Work Shown:

f(x) = 4x^(-2) + (1/4)x^2 + 4

f ' (x) = 4*(-2)x^(-3) + (1/4)*2x .... power rule

f ' (x) = -8x^(-3) + (1/2)x

f ' (2) = -8(2)^(-3) + (1/2)*(2)

f ' (2) = 0

Finding the derivative, we have that f'(2) = 0, option D.

-----------------------------

[tex](x^n)^{\prime} = nx^{n-1}[/tex]

-----------------------------

The function is:

[tex]f(x) = 4x^{-2} + \frac{x^2}{4} + 4[/tex]

The derivatives are:

[tex](4x^{-2})^{\prime} = -2 \times 4x^{-2 -1} = -8x^{-3}[/tex]

[tex](\frac{x^2}{4})^{\prime} = \frac{2x}{4}[/tex]

[tex](4)^{\prime} = 0[/tex]

Thus, the derivative of the function is:

[tex]f^{\prime}(x) = -8x^{-3} + \frac{2x}{4} = -\frac{8}{x^3} + \frac{2x}{4}[/tex]

At x = 2:

[tex]f^{\prime}(2) = -\frac{8}{2^3} + \frac{2(2)}{4} = -1 + 1 = 0[/tex]

Thus f'(2) = 0, option D.

A similar problem is given at https://brainly.com/question/10037173

Answer:

16 hours

Step-by-step explanation:

trust me its rsm principal test rite? lol u just divide the hours by 2 cuz there are only half the pumps

Answer:

64 hours

Step-by-step explanation:

The last one the answer is ( number ) 40 degrees

Answer:

the left column is the statement and Right column is the reason. The statement is the steps of how are you going to solve the problem

Answer:

(-1.6)(3 + 0.1)

Step-by-step explanation:

Sidney applied the steps to find the product of two numbers (3.1) and (-1.6),

Step 1,

(3.1)(-1.6) = (-1.6)(3.1)

Step 2,

(-1.6)(3.1) = (-1.6)(3 + 0.1)

Step 3,

(-1.6)(3 + 0.1) = -4.8 + (-0.16) [Distributive property]

Step 4,

-4.8 + (-0.16) = -4.96

Therefore, expression that correctly fits in step 2 will be,

(-1.6)(3 + 0.1)

Answer:

it might be D

Step-by-step explanation:

sorry is im wrong

EDIT

on edge im right!!!!!!!!!!!!!!

The longest side is always the hypotenuse

Answer:

Step-by-step explanation:

Yes

Answer:

[tex] \huge \boxed{x = 8}[/tex]

Step-by-step explanation:

f(x) = 70 + 11x

To find the value of x when f(x) =158 , equate f(x) to 158

We have

[tex]70 + 11x = 158 \\ 11x = 158 - 70 \\ 11x = 88[/tex]

Divide both sides by 11

[tex] \frac{11x}{11} = \frac{88}{11} \\ [/tex]

We have the final answer as

Hope this helps you

Answer:

15

Step-by-step explanation:

pls rate and thank me so i can get the points, thanks

Answer:

he can fit 15 stickers...............................

Step-by-step explanation:

Answer:

look at picture :)))

Step-by-step explanation:

is this right?

Answer:

it's c

Step-by-step explanation:

The line PS can be represented by the other names will be PQ, RQ, RS, PR, RS, and PS. Then the correct option is D.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things. In daily speech, a line segment with two points designating its endpoints is also referred to as a line.

The line is shown below.

The line PS can be represented by the other names will be PQ, RQ, RS, PR, RS, and PS.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ5

Answer:

=7bx3−6b+6

Step-by-step explanation:

6−7b+7bx3+b

=6+−7b+7bx3+b

=6+−7b+7bx3+b

=(7bx3)+(−7b+b)+(6)

=7bx3+−6b+6

Answer:43b

Step-by-step explanation:7+7 x3 +b = 43b