Answer:
x = 3/2 ± √(9/4 − 1/2 y)
Step-by-step explanation:
y = 6x − 2x²
First, factor out the leading coefficient:
y = -2 (x² − 3x)
Complete the square.
y = -2 (x² − 3x + 9/4 − 9/4)
y = -2 (x² − 3x + 9/4) + 9/2
y = -2 (x − 3/2)² + 9/2
Solve for x.
-1/2 y = (x − 3/2)² − 9/4
9/4 − 1/2 y = (x − 3/2)²
±√(9/4 − 1/2 y) = x − 3/2
x = 3/2 ± √(9/4 − 1/2 y)
Red and blue, magenta and cyan
Hello, Welcome to Brainly I am papaguy expert User I will you if you have any questions so far you have on.
Answer: 3/5
<em><u>Equation shows the relationship between distance traveled (d), speed (s), and time taken (t) is:</u></em>

<em><u>Solution:</u></em>
Given that,
Alice traveled 30 miles in 3 hours
<em><u>To find: Equation shows the relationship between distance traveled (d), speed (s), and time taken (t)</u></em>
<em><u>The speed is given by:</u></em>

From given,
Distance = d = 30 miles
Time = t = 3 hours
Therefore,


Thus the equation is found and speed is calculated
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.