Answer:
Pythagorean Theorem:
a^2 + b^2 = c^2
6^2 + b^2 = 12^2
36 + b^2 = 144
b^2 = 108
b = 10.4
Let me know if this helps!
Answer:

Step-by-step explanation:
First we have to find the coordinates of the original ordered pairs then we will do the translation.

Now we will add 3 to every x value and add a -2 to every y value.

When you do that you will get the new prime points.

Answer:
kathryn= 6 years old
her mother= 38 years old
Step-by-step explanation:
kathryn=x
mother= x²+2
x²+2 +x=44
x=6
kathryn= 6 years old
her mother= 38 years old
Answer:
18
Step-by-step explanation:
-3-6= -8 but since its absolute value it'll be 8 so 8 plus 10 = 18
Answer:
Slope = 6.000/2.000 = 3.000
x-intercept = 10/3 = 3.33333
y-intercept = -10/1 = -10.00000
Step-by-step explanation:
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -10.000 and for x=2.000, the value of y is -4.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -4.000 - (-10.000) = 6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)