Answer:
x = - 30
Step-by-step explanation:
x/3 + 8 = - 2 subtract 8 from both sides of the equation
x/3 = -2 - 8 = -10 now multiply both sides by 3
x = -30
The answer is 2.5 because the point is on -1.5, so -1.5+4=2.5
Answer: D) 18
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Explanation:
|-11| simplifies to 11
|-7| simplifies to 7
Whatever is inside the absolute value, you just remove the negative and that's the result of that absolute value expression. It represents the distance on a number line. So for instance -11 is 11 units from 0, which is why |-11| = 11.
Overall,
|-11| + |-7| = 11 + 7 = 18
Answer:
Step-by-step explanation:
From the graph attached,
Coordinates of the vertices are,
Q(1, 3), R(3, -3), S(0, -2) and T(-2, 1)
Following the rule of translation by 3 units to the right and 2 units down 
(x, y) → (x+3, y-2)
Q(1, 3) → Q''(4, 1)
R(3, -3) → R"(6, -5)
S(0, -2) → S"(3, -4)
T(-2, 1) → T"(1, -1)
Following rule
(rotation of a point by 180° about the origin) will give the image points,
(x, y) → (-x, -y)
Q"(4, 1) → Q'(-4, -1)
R"(6, -5) → R'(-6, 5)
S"(3, -4) → S'(-3, 4)
T"(1, -1) → T'(-1, 1)
Given:
The function is:

To find:
The value of
.
Solution:
We have,

Putting
, we get



On combining like terms, we get


Therefore, the required function is
.