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Masteriza [31]
2 years ago
12

Find the equation of the line through the points (−2,5) and (4,9).

Mathematics
1 answer:
3241004551 [841]2 years ago
8 0

9514 1404 393

Answer:

  2x -3y = -19

Step-by-step explanation:

Taking the differences between the given points, we have ...

  (Δx, Δy) = (4, 9) -(-2, 5) = (6, 4)

The equation of the line can be written ...

  Δy·x -Δx·y = Δy·(x1) -Δx·(y1) . . . . . for point (x1, y1) on the line

  4x -6y = 4(-2) -6(5) = -38

Dividing by 2 gives the standard form equation ...

  2x -3y = -19

_____

<em>Additional comment</em>

The original equation 4x-6y=-38 satisfies the requirements of this problem. However, "standard form" requires the numbers in the equation be mutually prime (in addition to the problem requirements). That is, they must have no common factors. Hence, we must remove the common factor of 2 in order to have true "standard form."

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A store sells two brands of hand lotion. Brand X costs $3.25 for 5 fluid ounces.
olga_2 [115]

Answer:

\frac{3,25}{5}=0,65 \\ for brand x for 1 fluid ounces

\frac{6}{8}=0,75 for brand y

0,75-0,65=0,1

Brand x costs $0,1 less

Step-by-step explanation:

3 0
3 years ago
The base of a cylindrical candle has an area of
Fudgin [204]

The volume of the cylindrical candle that has a base area of 12.56 inches is 12.56h inches³.

<h3>Volume of of cylinder</h3>

volume of a cylinder = πr²h

where

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  • h = height

Therefore,

volume of a cylinder = πr²h

Area of the base = πr²

Therefore,

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volume of the cylindrical candle = 12.56h inches³

learn more on volume here: brainly.com/question/11459769

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7 0
2 years ago
Simplify the following expression.
kipiarov [429]
Hello,

The answer is B

Hope this helped :)
3 0
3 years ago
Read 2 more answers
Identify the fractions labeled with the letters A and B on the scale.
romanna [79]
A is 1/8 and b is 5/8, hope this helps!
7 0
3 years ago
Looking for right triangle side a is 1 inch long,and side b is 2 inches long. What is the length of side c?
Sergeeva-Olga [200]

Answer:

\sqrt{5}

Step-by-step explanation:

a^{2} + b^{2} = c^{2}

In this situation a = 1, b = 2

1^{2} + 2^{2}  = c^{2}

1 + 4 = c^{2}

5 = c^{2}

c = \sqrt{5}

This is an important mathematical theorem to know. It's called the Pythagorean Theorem.

3 0
3 years ago
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