Point A is translated to A" by T(0, -6), since A has been shifted 6 units down
check the picture, the translated triangle is A"'B"'C"'.
clearly the angle between B"'A"' and B"A"' is 90 degrees, so we can complete the transformation by a 90° clockwise rotation or a 270° counterclockwise rotation.
from the choices given, we see that is is a 270° counterclockwise rotation.
Answer: <span>A.(o,-6). Ra,270</span>
Answer:
Step-by-step explanation:
y -int
y= 5(0) - 13
y = 0 - 13
y = -13
(0, -13)
x -int
5x - 13 = 0
5x = 13
x = 13/5
(13/5, 0)
Is there more information
A is an absolute value if it is greater than zero. This simply means that an absolute value number will always be greater than zero. This is because absolute value is the distance from 0 on a number line. Keep in mind that distance cannot be negative. For example, look at the numbers 5 and -5. 5 is 5 spaces from 0, and -5 is also 5 spaces from 0, not -5 spaces from 0. Put simply, an absolute value number that is greater than 0, will always be positive.
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Answer:
Step-by-step explanation:
Given that:
The sample size = 150
The sample mean = 70.69
The standard deviation = 29.60
The sample mean is equal to the point estimate of the population = 70.69
At 99% confidence interval level is:
∝ = 1 - 0.99
∝ = 0.01
The critical value:
The Margin of error = 
= 2.58 × 2.4168
≅ 6.235
At 99% confidence interval; the estimate of the population mean lies within the interval:
= 
= 70.69 - 6.235 < μ < 70.69 + 6.235
= 64.455 < μ < 76.925
= (64.455
, 76.925
)
