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3 years ago

The slope of a line that passes through points (-1, -3) and (-2,5) is:

Mathematics

1 answer:

sweet [91]3 years ago

6 0

Answer:

m = -8

Step-by-step explanation:

Use the slope formula: $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{5+3}{-2+1} =\frac{8}{-1} =-8$

m = -8

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Given points A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1), which of the following proves that

damaskus [11]

Similar triangles may or may not have equal side lengths

Triangles ABC and DEF are similar by SSS theorem

<h3>How to determine the similarity statement</h3>

The coordinates of the two triangles are:

A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1)

Calculate the lengths of both triangles using the following distance formula

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

For triangle ABC, we have:

$AB = \sqrt{(0 -4)^2 + (0 -0)^2} = 4$

$BC = \sqrt{(4 -0)^2 + (0 -2)^2} = 2\sqrt 5$

$CA = \sqrt{(0 -0)^2 + (0 -2)^2} = 2$

For triangle DEF, we have:

$DE = \sqrt{(0 -2)^2 + (0 -0)^2} = 2$

$EF = \sqrt{(2 -0)^2 + (0 -1)^2} = \sqrt 5$

$FD = \sqrt{(0 -0)^2 + (1 -0)^2} = 1$

Divide corresponding sides of the triangles to calculate the scale factor k

$k = \frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD}$

This gives

$k = \frac{4}{2} = \frac{2\sqrt 5}{\sqrt 5} = \frac{2}{1}$

Evaluate the quotients

$k = 2 = 2 = 2$

Since the quotients are equal, then the triangles are similar

Hence, triangles ABC and DEF are similar by SSS theorem

Read more about similar triangles at:

brainly.com/question/14285697

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2 years ago

What is 5a + 2/3= -1/6 with two step equations fractions

Natalija [7]

Answer:

-1/6

Step-by-step explanation:

5a+2/3=-1/6

5a=-1/6-2/3

5a=-1/6-4/6

5a=-5/6

a=(-5/6)/5

a=(-5/6)(1/5)

a=-5/30

simplify

a=-1/6

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2 years ago

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frosja888 [35]

Answer:

-10

Step-by-step explanation:

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vekshin1

Answer:

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Step-by-step explanation:

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