Answer: z + 17
Step-by-step explanation:
1) DISTRIBUTE:
11 + 2z + 6 - z
2) COMBINE LIKE TERMS
z + 17
Answer:
z= 69
Step-by-step explanation:
79+122+90+z=360 angle sum property
360-291=69
so z=69 degree
Option D:
Solution:
Given function:
To find the inverse of the function.
<u>Inverse of a function:</u>
<em>If a function f(x) is mapping x to y, then the inverse function of f(x) maps y back to x.</em>
Interchange the variables x and y.
Now, solve for y.
Multiply both sides by (y - 5).
Cancel the common factors, we get
Divide by x on both sides.
Add 5 on both sides.
To make the denominator same, multiply the 2nd term by 
.
Option D is the correct answer.
Answer
3412
Step-by-step explanation:
Answer:
First one: x = all real numbers
Second one: x = 0
Step-by-step explanation:
for the first one
given 8x+10=2(4x+5) we need to isolate the variable (x) using inverse operations
step 1 distribute the 2 to what is in the parenthesis ( 4x and 5 )
2 * 4x = 8x
5 * 2 = 10
now we have 8x + 10 = 8x + 10
step 2 subtract 8x from each side
8x - 8x = 0
8x - 8x = 0
now we have 10 = 10
subtract 10 from each side
10 - 10 = 0
10 - 10 = 0
we're left with 0 = 0 meaning that all real numbers are solutions
For the second one
given 3x-8=2(x-4) once again we need to isolate the variable using inverse operations
step 1 distribute the 2 to what is in the parenthesis (x - 4)
2 *x = 2x
2 * -4 = -8
now we have 3x - 8 = 2x - 8
step 2 add 8 to each side
-8 + 8 = 0
-8 + 8 = 0
now we have 2x = 3x
step 3 subtract 2x from each side
3x - 2x = x
2x - 2x = 0
we're left with x = 0
