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olga_2 [115]
2 years ago
12

1. Given the points P (1, - 4). Q (3,-2), R (-3,5), find the coordinates of the mid-points A and B of PO and PR respectively and

distance AB.
2. Calculate the value of cand the mean of the distribution with probability density function f(x) = cx? where x = 2,3,4 and 5.

- 3. Calculate P(A) given that P (AUB)= 0.98 where, P(B) = 0.72, if A and B are mutually exclusive events.

4. Given the center of a circles as (1,2) and radius 13 find its equation.

5. Find the eccentricity and the foci of the ellipse x2 - y2 16 9 1.​
Mathematics
1 answer:
aleksandrvk [35]2 years ago
5 0
1583.34 there you go
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Answer:

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Step-by-step explanation:

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Help me please very confused
CaHeK987 [17]

Read the problem and answer choices. You want to get from ABCD to EFGH, so you need to figure out how to do that with reflection, translation, and dilation—in that order.

The reflection part is fairly easy. ABC is a bottom-to-top order, and EFG is a top-to-bottom order, so the reflection is one that changes top to bottom. It must be reflection across a horizontal line. The only horizontal line offered in the answer choices is the x-axis. Selection B is indicated right away.

The dimensions of EFGH are 3 times those of ABCD, so the dilation scale factor is 3. This means that prior to dilation, the point H (for example), now at (-12, -3) would have been at (-4, -1), a factor of 3 closer to the origin. H corresponds to D in the original figure, which would be located at (0, -2) after reflection across the x-axis.

So, the translation from (0, -2) to (-4, -1) is 4 units left (0 to -4) and 1 unit up (-2 to -1).

The appropriate choice and fill-in would be ...

... <em>B. Reflection across the x-axis, translation </em><em>4</em><em> units left and </em><em>1</em><em> unit up, dilation with center (0, 0) and scale factor </em><em>3</em><em>.</em>

_____

You can check to see that these transformations also map the other points appropriately. They do.

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Step-by-step explanation:

that the answer is (6,4)

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