Answer:
Step-by-step explanation:
The square indicates that the total angle is 90 degrees so
d+59=90
d=90-59
d=31 degrees
Answer:
25/9
Step-by-step explanation:
I did it on mathaway
12/20 is equivalent to 3/5. <span />
Answer:
x = - 2, x = 6
Step-by-step explanation:
Given f(x) = 18 we require to solve
3 | x - 2 | + 6 = 18 ( subtract 6 from both sides )
3 | x - 2 | = 12 ( divide both sides by 3 )
| x - 2 | = 4
The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus
x - 2 = 4 ( add 2 to both sides )
x = 6
OR
- (x - 2) = 4
- x + 2 = 4 ( subtract 2 from both sides )
- x = 2 ( multiply both sides by - 1 )
x = - 2
As a check substitute these values into the left side of the equation and if equal to the right side then they are the solutions
x = 6 → 3|6 - 2| + 6 = 3|4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True
x = - 2 → 3|- 2 - 2| + 6 = 3|-4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True
Hence solutions are x = - 2, x = 6
Answer: y = 1/2x - 9
Step-by-step explanation:
- y + 5 = 1/2(x - 8)
- y + 5 = 1/2x - 4 (distribute)
- y = 1/2x - 9 (subtract 5 from both sides)
