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3 years ago

The vertices of figure KLMN are K(1, 1), L(4, 1), M(2, 3), and N(5, 3). If KLMN is reflected across the line

Mathematics

1 answer:

olganol [36]3 years ago

5 0

Answer:

The coordinates of the vertex L' are (4, -3).

Explanation:

A reflection accross the line y = - 1 will produce images with the same x-coordinate and change the - coordinate.

The y-coordinate of the image will be at the same distance from the line y = - 1 as the pre-image, on the other side of the line.

The vertex L has coordinates (4,1).

1. x-coordinate of L':

same x-coordinate of (4,1): 4.

2. y-coordinate of L'

i) Determine the distance distance between L(4,1) and y = - 1:

| 1 - (-1)| = 2

ii) Shift the y-coordinate of the line two units downward (because L is above the line, L' will be below the line). Then subtract 2 from - 1:

- 1 - 2 = - 3

Thus, the y-coordinate of L' will be - 3.

Hence, the resultant coordinates of vertex L' are (4, -3)

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Then the value of P (X ≥ 1) is:

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$=1-{n\choose 0}\frac{1}{120}^{0}(1-\frac{1}{120})^{n-0}\\=1-(1\times1\times(1-\frac{1}{120})^{n-0})\\=1-(1-\frac{1}{120})^{n-0}$

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Compute the compute the probability of 1 or more than 1 catastrophes in 2 missions as follows:

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3 years ago

Find the measure of the complementary angle of the supplementary angle of the angle having measure 120 degree.

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