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gogolik [260]
3 years ago
12

find the coordinate of W' after a 90° rotation of the triangle about the origin and then a reflection about the line y= -3​

Mathematics
1 answer:
Yakvenalex [24]3 years ago
7 0

Answer:

(4, -8).

Step-by-step explanation:

If point W were to be rotated 90 degrees, it would rotate 90 degrees clockwise. The current point of W is (-2, 4). After a 90 degree rotation about the origin, the point will be (4, 2).

y = -3 is a horizontal line where y = -3. The y-value of the newly rotated point is 2. That is five units above the line where y = -3. So, a reflection would result in a y-value of y = -3 - 5 = -8. The x-value does not change.

So, the coordinate of W' is (4, -8).

Hope this helps!

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LenaWriter [7]

Answer:

It would be true

Step-by-step explanation:

3x-7=14, add 7 both sides, 3x=21, x=7, therefore it's true. Hope this helps!

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In a recent study of statistics students, a random sample of students were asked to provide the number of hours per week they sp
Airida [17]

Answer:

ME=\frac{Upper-Lower}{2}= \frac{8.15-6.55}{2}= 0.80

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

For this case the confidence interval is given by (6.55,8.15). And we can estimate the margin of error with this formula since the confidence interval is symmetrical:

ME=\frac{Upper-Lower}{2}= \frac{8.15-6.55}{2}= 0.80

3 0
3 years ago
A car wash detailed 132 cars in 4 hours. How many cars did they detail per hour?
Natasha_Volkova [10]

Answer:

<h2>33 Cars</h2>

Step-by-step explanation:

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Therefore,

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3 years ago
ALGEBRA
riadik2000 [5.3K]
Is there a picture that I can see so I can hopefully help you out?
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What do all of these numbers have in common?The 3.
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9/3=3
-12x/3=4x
6y/3=2y
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8 0
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