Solve. −3(x+5)=−9 Enter your answer in the box.
2 answers:
Answer:
x = -2
Step-by-step explanation:
To solve for x in the equation - 3(x+5) = -9, we will follow the steps below:
First, we will start by opening the bracket
-3( x+ 5) = -9
-3x - 15 = -9
Next, is to add 15 to both-side of the equation
-3x - 15 + 15 = -9 + 15
-3x = 6
Divide both-side of the equation by -3
=
(On the left-hand side of the equation, -3 at the numerator will cancel-out -3 at the denominator leaving us with just x, while on the right-hand side of the equation, 6 will be divided by -3)
x = -2
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Answer:
Dilate by a scale factor of 0.5 with the origin as the center of dilation.
Rotate 90° clockwise about the origin
Step-by-step explanation:
Polygon ABCD:
- A = (-2, 4)
- B = (-8, 2)
- C = (-4, 8)
- D = (-2, 6)
Dilate by a scale factor of 0.5 with the origin as the center of dilation (pink polygon on attached diagram).
This means multiply the x and y values of the points by 0.5:
A → (-1, 2)
B → (-4, 1)
C → (-2, 4)
D → (-1, 3)
Rotate 90° clockwise about the origin: (x, y) → (-y, x)
A' = (-2, 1)
B' = (-1, 4)
C' = (-4, 2)
D' = (-3, 1)
So the transformations are:
- Dilate by a scale factor of 0.5 with the origin as the center of dilation.
- Rotate 90° clockwise about the origin.
