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Dahasolnce [82]
2 years ago
14

What will be the coordinates of vertex N' of the image? (-2, 4) (-2, 6) (-4, 4) (-4, 8)

Mathematics
2 answers:
Neko [114]2 years ago
7 0

Answer:

N'(-2,6)

Step-by-step explanation:

To Dilate is to enlarge or to shrink a figure. Since the Center of Dilation is the Point P. We'll dilate and add each value of each coordinate.

Dx=2(x,y) \\P(2,-2)\Rightarrow D_{ P centered}=(2x+2,2y-2)

M(-1,-2) \Rightarrow M'=(2(-1)-2,2(-2)+2)= (-4,-2)\\\\N(0,2) \Rightarrow N'= (2(0)-2,2(2)+2) = (-2,6)\\\\P(2,-2) \Rightarrow P'=(2(2)-2,2(-2)+2)=(2,-2)

Check the pre image and triangle on the graph below.

QveST [7]2 years ago
3 0
Option B is correct (-2,6)
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Convert each measure into radians
mars1129 [50]

Answer: -240 = -4π / 3, 60 = π / 3, 270 = 3π / 2, 945 = 21π / 4, -30 = -π / 60, 195 = 13π / 12

Step-by-step explanation:

The formula for converting <em>Degrees </em>into <em>Radians </em>is <em>Degrees </em>* (π / 180) = <em>Radians</em>.

For -240, we have -240 * (π / 180) = -240π / 180 and simplifying gives us -4π / 3

60:  60 * (π / 180) = 60π / 180 = π/3

270:  270 * (π / 180) = 270π / 180 = 3π / 2

945:  945 * (π / 180) = 945π / 180 = 21π / 4

-30:  -30 * (π / 180) = -30π / 180 = π / 60

195:  195 * (π / 180) = 195π / 180 = 13π / 12

5 0
2 years ago
One way of solving systems of linear equations is by adding a multiple of one equation to the other. the multiplier for one equa
elena-s [515]
We want to use elimination to solve
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x + y = 40             (2)

Multiply (1) by -1 to eliminate y.
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Add (2) and (3).
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3 0
3 years ago
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the
Vesna [10]

Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

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So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is \pi = 0.5

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}

0.001\sqrt{n} = 2.327*0.5

\sqrt{n} = \frac{2.327*0.5}{0.001}

(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}

n = 1353732.25

Rounding up

A sample size of at least 1,353,733 is required.

5 0
3 years ago
Alex chose a pair of jeans that sells for $19.50, but today all jeans are on sale for 10% off. How much will Alex save. Explain
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8 0
3 years ago
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Given that triangle ABC is congruent to triangle DEF find x and y
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X will equal 12, and y will equal 18.
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