A sequence of transformations maps ABC to AA'B'C. The sequence of transformations that maps A’B’C’ is
- A (4,-4)
- B (2, -8); and
- C (6, -6)
followed by
- A' (-2, 4)
- B' (-2, 2)
- C' (0, 6).
<h3>What is Transformation?</h3>
A transformation is a broad phrase that encompasses four distinct methods for changing the shape and/or position of a point, a line, or a geometric figure.
Hence, the sequence of transformations maps ABC to AA'B'C. The sequence of transformations that maps A’B’C’ is
- A (4,-4)
- B (2, -8); and
- C (6, -6)
followed by
- A' (-2, 4)
- B' (-2, 2)
- C' (0, 6).
Learn more about transformation at:
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Start with a proportion, to get the number of degrees in 30 seconds:
(150 degrees / 5 seconds) = ('D' degrees / 30 seconds) .
Cross multiply the proportion: (150 x 30) = 5 x D
4,500 = 5 x D
Divide each side by 5 : 900 = D
The globe turns 900 degrees in 30 seconds.
How many rotations is that ?
Each rotation is 360 degrees.
So 900 degrees is
(900 / 360) = <em>2.5 rotations</em> in 30 seconds.
Answer:
-52
Step-by-step explanation:
Think of it this way. Opposite means to take the negation. So we are taking the negation of the negation of negative 52. This means mathematically:
- ( - ( -52 ) ) == -52
Cheers.
First person = 10 min
Second person = 15 min
Time together = x
Equation Formation
x = (10+15) ÷2
x = 12.5
Answer = 12.5 minutes
Amount of Job done by the slowest person.
10/25 × 100 = 40%
Answer = 40%
For the points in the parabola, we have:
- A = (1, 0)
- B = (3, 0)
- P = (0, 3)
- Q = (2, -1).
<h3>
How to identify the points on the parabola?</h3>
Here we have the quadratic equation:
y = (x - 1)*(x - 3)
First, we want the coordinates of A and B, which are the two zeros of the parabola.
Because it is already factorized, we know that the zeros are at x = 1 and x = 3, so the coordinates of A and B are:
A = (1, 0)
B = (3, 0).
Then point P is the y-intercept, to get it, we need to evaluate in x = 0.
y = (0 - 1)*(0 - 3) = (-1)*(-3) = 3
Then we have:
P = (0, 3)
Finally, point Q is the vertex. The x-value of the vertex is in the middle between the two zeros, so the vertex is at x = 2.
And the y-value of the vertex is:
y = (2 - 1)*(2 - 3) = 1*(-1) = -1
So we have:
Q = (2, -1).
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