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Natalija [7]
4 years ago
9

What is the formula for finding the slope when given two points?

Mathematics
1 answer:
fredd [130]4 years ago
7 0

Answer:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

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Nine years ago, Kimo was twice as old as Jennifer was then. In four years, Jennifer will be the same age that Kimo is now? How o
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Answer:Kimo is 17 years old and Jennifer is 13 years old.

Step-by-step explanation:

Let x represent Kimo's current age.

Let y represent Jennifer's current age.

Nine years ago, Kimo was twice as old as Jennifer was then. It means that

x - 9 = 2(y - 9)

x - 9 = 2y - 18

x = 2y - 18 + 9 = 2y - 9

In four years, Jennifer will be the same age that Kimo is now. It means that

x = y + 4 - - - - - - - - - 1

Substituting x = 2y - 9 into equation 1, it becomes

2y - 9 = y + 4

2y - y = 4 + 9

y = 13

x = 2y - 9 = 2 × 13 - 9

x = 17

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3 years ago
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Answer:

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Step-by-step explanation:

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State whether each pair of triangles is similar by AA-SSS-or SAS-. If none of
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A new bridge structure requires triangles that are in a ratio of 1:1. If AC = 2x + 10 and EC = 4x − 18, find the distance betwee
Serjik [45]

Distance between the top and bottom of the bridge is 76 feet

Solution:

The image of the question is attached below.

Ratio of the triangles is 1 : 1.

AC = 2x + 10 and EC = 4x − 18.

Since the two triangles ACB and DCE are in the ratio 1 : 1, so their corresponding sides are also in the ratio 1 : 1.

Therefore sides AC and EC are corresponding to each other.

AC : EC = 1 : 1

$\Rightarrow \frac{A C}{E C}=\frac{1}{1}

\Rightarrow A C=E C

\Rightarrow 2 x+10=4 x-18

Subtract 10 from both sides of the equation.

\Rightarrow 2 x=4 x-28

Subtract 4x from both sides of the equation.

\Rightarrow -2 x=-28

Divide by -2 on both sides, we get

⇒ x = 14

Distance between the top and bottom of the bridge is EA.

EA = AC + EC

     = 2x + 10 + 4x - 18

     = 6x - 8

     = 6(14) - 8

     = 84 - 8

EA = 76 feet

Distance between the top and bottom of the bridge is 76 feet.

3 0
3 years ago
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