Do as many as possible thx

-2y + 8

348

117

7

21in.

Step-by-step explanation:

This is a good bit of work but lets do it.

Starting with 1 :

We need to distribute :

-2(y-4)

To do this we need to multiply the outside of the ( ) by the inside, one by one.

So :

-2(y-4)

We do :

-2 × y

and

-2 × -4 (Negative multiplied by a negative is a positive.)

to get

-2y + 8

Now #2

We need to evaluate an algebraic expression by taking what we know and plugging it in and then solving.

So we know :

a = 4

b = 6

And our equation is :

6a + 3b²

So we can plug in our a = 4 and the b = 6 to get rid of the numbers.

If we do this we now get :

(6 x 4) + (3 x 6)²

Now we can solve :

(6 x 4) + (3 x 6)²

   24   +     18²

   24   +     324

=

348

Moving onto 3 :

We have to find a percent. How I like to start these is actually find what 5% is in this whole and the multiply to get our answer.

So what we know is the whole is 180. And we need to find 65%

So what I want to do is find 5% of 180. I first want to find out how many 5%'s go into 100%. To do this we can simply do 100 / 5 to get 20.

So 5% can go into 100% 20 times.

So in this case all we need to do is take our whole (180) and divide it by the amount 5 can go into 100 for the % (20).

So:

180 / 20

=

9

So now we know 5% of 180 is 9.

But we need to find 65%. So basically all we need to do is find how many times 5% go into 65% and then multiply that by 9 (How much 5% is).

To find how many times 5 goes into 65 we can divide.

65/5

=

13

So we take 13 and multiply by the value of 5 (9)

13 x 9

=

117

And that is it, 65% of 180 is 117

4 is very very simple.

Basically absolute value is literally how far a number is from 0.

So we need to find how far away 7 is from 0.

You can do most likely do it in your head but literally all you need to do is write the number in positive form. Cause depending on the -/+ of the number you will always add or subtract by itself to get to 0. And an absolute value will always be a positive value. So we just take that info and find that the absolute value of :

|-7 | = 7

And onto the last one is the area of a triangle.

To find this lets first go over the formula of a triangle :

A = B x H x 1/2

or in full terms

Area = base x height x 1/2

So basically what we first need to do is find the base and the height and the multiply the two together.

Base = 6in.

Height = 7in.

6 x 7

=

42

Now that we have this we need to multiply by 1/2. Which may be confusing but this is literally the same as dividing by 2. We are essentially splitting the number in half.

So:

42 x 1/2

or

42/2

=

21in.

And that is it! That is your final answer for that.

I hope all of these help!

If you have any questions or are confused feel free to comment or message me.

Step-by-step explanation:

hi there!

step-by-step explanation:

a roof pitch is basically for every inch rise there is 12 inches run.

the height of the roof is also known as the rafter.

formula: rafter^2 = rise^2 + run^2

rafter^2 = 5^2 + 12^2

rafter^2 = 25 + 144

rafter ^2 = 169"^2

the height of the roof from the lowest point to the highest point is 169"^2.

hope this : )

your answer is

a.

5

step-by-step explanation: