What is the image of the point (3,2)(3,2) after a rotation of 90^{\circ}90 ∘ counterclockwise about the origin?
1 answer:
Answer: = (-2,3)
Step-by-step explanation:
- Rotation is a transformation of a figure by rotating it for a specific angle about a fixed point.
Here, fixed point = origin = (0,0)
Transformation rule for rotation of counterclockwise about the origin:
Then, the image of the point (3,2) = (-2,3)
Hence, the image of the point (3,2) after a rotation of counterclockwise about the origin = (-2,3)
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first off, let's notice that Purple's time is in minutes, whilst the rate is in miles per hour, the units of both must correspond, so, we can either change the time from minutes to hours or the rate from hours to minutes, hmmm let's change the time to hours.
so 40 minutes, we know there are 60 minutes in 1 hour, so 40 minutes will be 40/60 of an hr, or namely 2/3.
Answer:
15.87%
Step-by-step explanation:
Given that:
The mean (μ) = 1000 hours, the standard deviation (σ) = 100 hours.
The z score provides a means of measurement in statistics to determine the variation of a raw score from the mean. The z score is given as:
To find that a randomly chosen light bulb will last less than 900 hours:
Therefore, P(x < 900) = P(z < -1) = 0.1587 = 15.87%
x + 2
Step-by-step explanation:
2 ( x + 2) + 2 (x + 4) = 32
2x + 4 + 2x + 8 = 32
4x + 12 = 32
4x = 32 – 12
4x = 20
x = 5
Width of picture = 5 inches
Length of picture (x + 2) = 7 inches
Length of frame = x + 2 + 2 = 9 inches
Width of frame = x + 2 = 7 inches
