1.multiply and simplify if possible. √7x (√x − 7√7) 2. what is the simplest form of the radical expression? 33√2a−63√2a

One sqrt(7)*x -49sqrt(x)

Two -30sqrt(2)a

Right: - 3 cuberoot(2a)

Step-by-step explanation:

Left Questions

One

sqrt(7)x ((sqrt(x) - 7sqrt(7) )                         Remove the Brackets

This question has a a slight bit of ambiguity in it. Is the x outside the brackets underneath the root  sign or not? I have taken it as not. Leave a note if I am wrong. Edit: This question clears itself when you use the original statement. I think it is correctly represented now. When you use √ you have to use brackets to show what is under the root sign.

Two

You can take a lot of common factors out side the brackets.

The common factors are 3*sqrt(2)*a When you do that, you are left with

Of course there are other, more direct ways of doing this.

Right Question.

The problem here is answering in such a way that you are showing work.

Let z = 3∛(2a)

The problem now becomes

z*(1 - 2)

- z

Now substitute back

-3∛(2a)      Answer

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

hi there!

the answer to this question is d: 35

step-by-step explanation:

5 to the power of 2 is 25

2 multiplied by 5 is 10

then you add the 2 numbers and you get 35