The LCD is 12. Thus, your
(x-2)/4 - (x+3)/3 = -2 becomes 12((x-2)/4 - (x+3)/3 = -2), or
3(x-2) - 4(x+3) = -36
Then 3x - 6 - 4x - 12 = -36. Combining like terms,
-x = -36 + 18, or -x = -18, or x = 18.
Check this result by subbing 18 for x in the given equation.
Please note: You must use parentheses here as indicated to eliminate any ambiguity about order of operations and what divides into what.
Angle 3, 6, and 8 have the same measure as angle 1
Answer:
(19 , -14)
Step-by-step explanation:
Find the distance in between each x & y for a coordinate.
Let: (x₁ , y₁) = (-1 , 2)
Let: (x₂ , y₂) = (9 , -6)
From x₁ ⇒ x₂: 9 - (-1) = 10
From y₁ ⇒ y₂: -6 - 2 = -8 = 8*
*Remember that distance cannot be negative, but for the sake of this question, we will leave it as -8.
The distance between the x points are in intervals of 10. The distance between the y points are in intervals of 8. Add 10 & subtract 8 to their respective numbers to get endpoint 2:
(9 (+ 10) , -6 (- 8)) = (19 , -14)
Endpoint 2 = (19 , -14)
~
10 dimes
The $2 are exchanged for 10 dimes and 4 quarters, which make 14 coins total.
Answer:
-21
Step-by-step explanation:
f(-3) = -4(-3)² + 15 = -4(9) + 15 = -36 + 15 = -21
