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azamat
3 years ago
10

The vertices of a triangle are (-1.3) (-5,3) (-5,7) how would you reflect the triangle in the x-axis and in the y-axis ? Give th

e coordinates of the reflect d triangle for each case?
Mathematics
1 answer:
grandymaker [24]3 years ago
8 0
Simple way to see it is to multiply the value opposite of the axis you're flipping it over by -1. For example the point (-5,7) would become (5,7) when reflected over the y-axis, because the point is moving from the left to the right. This means the triangle would be (1,3) (5,3) and (5,7) when reflected over the y-axis. For reflection over the x-axis it would be (-1,-3) (-5,-3) and (-5,-7) because each point is moving down.
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Negative and zero rules<br><img src="https://tex.z-dn.net/?f=2%20%7Bx%7D%5E%7B0%7D%20%20%5Ctimes%20x" id="TexFormula1" title="2
fgiga [73]

Answer:

When multiplying a positive and positive number together or negative and negative together, keep the same sign. When you multiply a positive and a negative number together, the result is always negative. Any number multiplied by zero becomes zero and is neither positive or negative.

Step-by-step explanation:

4 0
3 years ago
You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on con
AlladinOne [14]

Using the z-distribution, a sample size of 180 is needed for the estimate.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is given by:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

In this problem, we have a 98% confidence level, hence\alpha = 0.98, z is the value of Z that has a p-value of \frac{1+0.98}{2} = 0.99, so the critical value is z = 2.327.

The population standard deviation is of \sigma = 23, and to find the sample size, we have to solve for n when M = 4.

Hence:

M = z\frac{\sigma}{\sqrt{n}}

4 = 2.327\frac{23}{\sqrt{n}}

4\sqrt{n} = 2.327 \times 23

\sqrt{n} = \frac{2.327 \times 23}{4}

(\sqrt{n}) = \left(\frac{2.327 \times 23}{4}\right)^2

n = 179.03.

Rounding up, as a sample size of 179 would result in an error slightly above 4, a sample of 180 is needed.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
2 years ago
Which rational number will result in a repeating decimal?
natita [175]

Answer:

D. 158/6

Step-by-step explanation:

If you divide 158/6 you get 26.3333333333 which is a repeating decimal, and makes it a rational number.

5 0
3 years ago
Cinema A can seat 2100 people. It can seat 1477 people more than cinema B find the total number of people that both cinemas can
Kamila [148]

Answer:

5677

Step-by-step explanation:

2100 +1477 = 3577

2100+3577= 5677

7 0
3 years ago
What expression is not equivalent to this expression: 75a + 50b
nadya68 [22]
25(3a+2b)
Factor out 25 from the expression
4 0
3 years ago
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