Answer:

Step-by-step explanation:

A) 19
v = 5 + 7 x 2
v = 5 + 14
v = 19
———————
b) 8
35 = u + 9 x 3
35 = u + 27
8 = u
Answer:
Mean, m = 72
Step-by-step explanation:
It is given that, Carl earned grades of 62, 78, 59, and 89 on four math tests.
It is required to find the mean of his grades.
Mean of a data is given by :

Sum of observations is 62 + 78 + 59 + 89 = 288
Total no of observations are 4
So, mean of his grades is :

So, the mean of his grades is 72.
Answer:

Step-by-step explanation:
The isosceles triangle containing the side of <em>y</em><em> </em><em>+</em><em> </em><em>12</em><em> </em>is congruent to <em>3x² - </em><em>32</em><em> </em>[<em>base angles</em> are congruent], and if you look closer, they are also equivalent to all three sides of the equilateral triangle <em>adjacent</em> to the isosceles triangle. So, we will be working with alot gadgets here, if you know what I mean. Anyway, this is how we start out:

-5y - 5y
___________________
-4 = -4y + 12
-12 - 12
____________
-16 = -4y
___ ___
-4 -4
4 = y [Plug this back into both equations to get the value of 16.]
Next, you will set <em>3x² - 32 </em>equal to 16:

+32 + 32
_________________
48 = 3x²
__ ___
3 3
16 = x²
4 = x [In this case, we want the NON-NEGATIVE root because inputting a -4 for <em>x</em><em> </em>will not give us identical answers.]
I am joyous to assist you anytime.