Expand: (b + 2)(b - 4)

Answers

Answer 1

Answer: (b+2)(b-4)
b x b = b^2
b x 2 = 2b
b x -4= -4b
2 x -4=-8

b^2+2b-4b-8= b^2-2b-8

Answer 2

Answer: i believe the answer is b^2-2b-8

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What is the correct answer to number 9? Please explain step by step.

Answers

Answer:

The answer to your question is Momentum = $((x + 2)^(2))/(x - 3)$

Step-by-step explanation:

Data

mass = $(x^(2)+ 4x + 4 )/(x^(2)- 9)$

velocity = $(x^(2)+ 5x + 6)/(x + 2)$

Formula

Momentum = mass x velocity

Substitution

Momentum = $(x^(2)+ 4x + 4)/(x^(2)- 9) (x^(2) + 5x + 6)/(x + 2)$

Factor The first numerator is a perfect square trinomial and the second one is a trinomial of the form x² + bx + c.

Momentum = $((x + 2)^(2))/((x - 3)(x + 3)) ((x + 2)(x + 3))/(x + 2)$

Simplify and result

Momentum = $((x + 2)^(2))/(x - 3)$ or $(x^(2) + 4x + 4)/(x - 3)$

Find the distance between the points.
(-2,4) and (-2,8)

Answers

Answer:

4 units

Step-by-step explanation:

Given points:

(-2, 4)
(-2, 8)

As the x-coordinates of both points are the same, the two points line on the vertical line x = -2.

Therefore, to find the distance between the points, find the absolute value of the difference between their y-coordinates:

$\textsf{Distance}=|4-8|=|-4|=4$

Therefore, the distance between points (-2, 4) and (-2, 8) is 4 units.

Answer:

Step-by-step explanation: 4y and 8y would be 4 away from each other in the positive direction starting from 4y to get to 8y, therefore the diatance between (-2,4) and (-2,8) is 4

Andy is one-fourth as old as his grandfather, who is 76 years old. Write an equation to determine whether Andy is 19 or 22 years old.

Answers

We know that if we multiply Andy's age by four we obtain 76. Lets assume that Andy's age its x. so
4*x=76
Now we have to solve equation
4*x=76 /:4 divide both sides by 4
x=19 - its the answer

A=Andy
G=Andy's Grandfather

A*4=G
G=76
A*4=76
/4
a=19

Which equation represents a line that intersects the line 2y − 4x = 3?A. -2y + 4x = 1
B. 3y − 6x = 6.5
C. y − 2x = 3
D. -2y − 4x = 3

Answers

Convert all the equations to slope-intercept form:

$\hbox{the given line:} \n 2y-4x=3 \ \ \ |+4x \n2y=4x+3 \ \ \ |/ 2 \ny=2x+(3)/(2) \n \nA. \n-2y+4x=1 \ \ \ |-4x \n-2y=-4x+1 \ \ \ |/ (-2) \ny=2x-(1)/(2) \n \nB. \n3y-6x=6.5 \ \ \ |+6x \n3y=6x+6.5 \ \ \ |/ 3 \ny=2x+(6.5)/(3)$

$C. \ny-2x=3 \ \ \ |+2x \ny=2x+3 \n \nD. \n-2y-4x=3 \ \ \ |+4x \n-2y=4x+3 \ \ \ \|/ (-2) \ny=-2x-(3)/(2)$

If two lines have the same slope, they're parallel and don't intersect.
The slope of the given line is 2.
The slopes of lines A, B and C are also equal to 2, so they are all parallel.
The slope of line D is -2, so it intersects the given line.
The answer is D.

The volume of a greenhous is 150 feet long, 20 feet wide, 10 feet high at the sides, and the 15 feet high in the center what is the cubic feet?

Answers

long=150
wide=20
high=10
volume=l*w*h
=150*20*10=30000which will be divided by 15 to get the cubic feet.
The answer will be 2000.

F(x)=6x+8 what is f(3)?

Answers

Answer:

Step-by-step explanation:

6(3) =18 18+8=26

F(x)=6x+8
F(3)=6(3)+8
F(3)=18+8
F(3)=26

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