which of the following shows the correct steps to find the value of 8 to the power of 1 over 3 ? (1 point)

a

8 to the power of 1 over 3 equals 4 to the power of 3 to the power of 1 over 3 equals 4 to the power of 3 multiplied by 1 over 3 equals 4

b

8 to the power of 1 over 3 equals 2 to the power of 3 to the power of 1 over 3 equals 2 to the power of 3 multiplied by 1 over 3 equals 2

c

8 to the power of 1 over 3 equals 2 to the power of 4 to the power of 1 over 3 equals 2 to the power of 4 multiplied by 1 over 3 equals 16

d

16 to the power of 1 over 4 equals 8 to the power of 2 to the power of 1 over 4 equals 8 to the power of 2 multiplied by 1 over 4 equals 8

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

the answer to question 1 is -8, 28.

step-by-step explanation:

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough