Answer:v = 9
Step-by-step explanation:
Simplifying
2(3v + 8) = 70
Reorder the terms:
2(8 + 3v) = 70
(8 * 2 + 3v * 2) = 70
(16 + 6v) = 70
Solving
16 + 6v = 70
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + -16 + 6v = 70 + -16
Combine like terms: 16 + -16 = 0
0 + 6v = 70 + -16
6v = 70 + -16
Combine like terms: 70 + -16 = 54
6v = 54
Divide each side by '6'.
v = 9
Answer:
Quadrant 4
Step-by-step explanation:
The x value is positive so it is either in 1 or 4
The y value is negative so it is either 3 or 4
To meet both conditions, it must be 4
We will use the distributive property. -4 times 9z=-36z -4 times -2=8 so we have -36z+8 as our answer
Angle-A and angle-B are alternate interior angles with parallel lines cut by a transversal. That tells you that the two angles are EQUAL. So you can write
8x + 78 = 2x + 114 ,
and it should all be smooth sailing for you from that point.
Answer:
Option B is correct.
The expression which is equivalent to 
is; 
Explanation:
Given the equation: for all values of n.
The quadratic equation in this form; 
First find two numbers that multiply to give ac and add to give b.
From the given equation;
a =1 , b = 26 and c =88
then,
the two number that multiply to give ac =88 is, 22 or 4
and they add up to give b=26 (i.e 22+4)
Now, rewrite the middle term i.e 26n with 22n and 4n , we have
Now, factor the first two terms and last two terms,
we see that 
is common to both terms so, we have;
Therefore, the expression is equivalent to
Check:
(n+4)(n+22) = 
= [ True]
