CPhill

7/10

Notice  that 2 * 2   = 4

And 2 = √2  * √2

So 4 / √2  =

[ √2 * √ 2 *  √ 2  *   √2] / √2  =

[ √2 * √ 2 *  √ 2 ] =

[2 * √2 ]

A is correct

This is true for all real x except  x = 0

Example   ...let a be some non-zero real number....then

a⁰  = a^n-n =  aⁿ / aⁿ   = 1

If x = 0, we have  0⁰    which is known as an "indeterminate" form

The slope of the given line = -8

A perpendicular line will have a negative reciprocal slope.....so....our line will have a slope  = 1/8  = m

The equation is

y - y1  =  m ( x - x1)

And using  (-3, -5)   for (x1, y1) we have

y -  -5    =  (1/8) (x - -3)   simplify

y + 5 = (1/8)( x + 3)

y  + 5 = (1/8)x + 3/8             subtract 5 from both sides

y = (1/8)x + 3/8 - 5

y = (1 /8)x  + 3/8 - 40/8

y = (1/8) x - 37/8

A parallel line will have the same slope as the given line......so using the same idea as above

y -  -5 = -8 (x - - 3)

y + 5 = -8(x + 3)

y + 5 = -8x - 24

y = -8x -29

You got 18 correct....so   18/25 =  72%......so.....you actually got a better grade....!!!

(5/9) (8 + c) = -20       multiply both sides by 9/5

8 + c =  -20(9/5)

8 + c  = -180/5

8 + c = -36     subtract 8 from both sides

c = -44

2.25  / 3  =   multiply top/bottom by 100

225 / 300 =

[9 * 25[ / [ 12*25]  =

9/12 =

3/4

5/6 , 7/9, 3/5

Get a common denominator  =  5 * 2 * 3^2  = 90

5/6 = 75/90

7/9  = 70/90

3/5 = 54/90

So.......they are arranged from greatest to least......

You have a 1/3 probability of getting the correct answer on any question....so.....

(1/3)(1/3)  = 1/9  =  about 11.11%