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3 years ago

write the equation of the line (in slope-intercept form) that passes through the points (2,3 and (5,7)

Mathematics

1 answer:

AfilCa [17]3 years ago

8 0

Answer:

The answer to your question is y = 4/3x + 1/3

Step-by-step explanation:

Data

Point A = (2, 3)

Point B = (5, 7)

Process

1.- Calculate the slope

x1 = 2 y1 = 3

x2 = 5 y2 = 7

m = (y2 - y1)/(x2 - x1)

- Substitution

m = (7 - 3)/(5 - 2)

- Slope

m = 4/3

2.- Find the equation of the line

y - y1 = m(x - x1)

y - 3 = 4/3(x - 2)

y - 3 = 4/3x - 8/3

y = 4/3x - 8/3 + 3

y = 4/3x - 8/3 + 9/3

y = 4/3x + 1/3

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Bella leans a 20-foot ladder against a wall so that it forms an angle of 76° with the ground. What’s the horizontal distance bet

seropon [69]

Answer:

4.8 feet

Step-by-step explanation:

Use the cosine ratio, since we are given the length of the hypotenuse (the ladder) and are asked to find the horizontal distance between it and the ground.

Let x represent the horizontal distance (the adjacent leg)

cosine θ = adjacent / hypotenuse

cosine 76° = x / 20

(20)(cosine 76°) = x

4.8 = x

So, the horizontal distance is approximately 4.8 feet

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2 years ago

Explain how to find the greatest number of identical arrangements that can be made with 54 roses and 42 tulips with no flowers l

Basile [38]

Work out the Greatest Common Factor for both numbers

54 421×54 1×422×27 2×213×18 3×146×9 6×7

The common factors are: 1, 2, 3 and 6
The greatest common factor is 6
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There will be 9 roses and 7 tulips in each arrangement

3 0

2 years ago

Read 2 more answers

What is the answer to x/3+8=-2

Bingel [31]

Answer:

x = - 30

Step-by-step explanation:

x/3 + 8 = - 2 subtract 8 from both sides of the equation

x/3 = -2 - 8 = -10 now multiply both sides by 3

x = -30

3 0