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Alja [10]
3 years ago
13

Write the equation of the line given two points (5, 6) (4, 8). Write the answer in point-slope form.

Mathematics
1 answer:
Lady_Fox [76]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (5, 6) and (x₂, y₂ ) = (4, 8)

m = \frac{8-6}{4-5} = \frac{2}{-1} = - 2

There are 2 possible equations, however both are equivalent

Using (a, b) = (5, 6), then

y - 6 = - 2(x - 5)

Using (a, b) = (4, 8), then

y - 8 = - 2(x - 4)

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Its an equation, not an inequality

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Christian is placing photos onto scrapbook paper for his photo album. the scrapbook paper is 12 inches long and 12 inches wide.
GenaCL600 [577]

The answer would be 144 inches, found by multiplying the length of the paper by the width.

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1. Wendy wants to find the width, AB, of a river. She walks along the edge of the river 300 ft and marks point C. Then she walks
Ierofanga [76]

It can be deduced that the triangles are similar because the three internal angles are equal for both triangles.

<h3>How to solve the triangle?</h3>

It should be noted that the triangles are similar because the three internal angles are equal.

In this case, the ratio of the corresponding sides are equal and the corresponding angles are congruent.

The width of the river will be:

300/80 = AB/50

AB = (300 × 50)/80

AB = 187.50 feet.

Learn more about triangles on:

brainly.com/question/17335144

7 0
2 years ago
Help me with this?<br> ______________
Simora [160]

Answer:

Austin will have to buy 180 squares of carpeting.

Step-by-step explanation:

First find the dimension of the room. We do that by multiplying the width times the length and then subtracting the cut out region in the top right. And, in order to know how big that region we cut out is, we have to do a little subtraction.

We know the room is 18' long on the left side and 12' long on the right side. We subtract 12 from 18 to get 6, and we know that the cut out region is 6' long. We do the same thing with the width, 25' wide at the bottom minus 10' wide at the top and we see that the cut out is 15' wide.

18 x 25 = 450

6 x 15 = 90

450 - 90 = 360. The area of the room is 360 ft^{2}

Each piece of carpet is 2' by 1'. So for every 2' long, the piece of carpet is 1' wide. Each carpet piece will cover 2 ft^{2}. Divide 360 by 2 and you get 180.

5 0
3 years ago
Triangle FGH is similar to triangle IJK. Find the measure of side KI. Round your
erastovalidia [21]

Answer:

5.8

Step-by-step explanation:

Similar shapes also maintain a constant proportion of sides. Therefore, we can set up the following equation:

\frac{31}{43}=\frac{\text{KI}}{8}

Solving, we get:

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5 0
3 years ago
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