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GarryVolchara [31]

3 years ago

10

20 POINTS! What is the slope of the line through the points (2, 5) and (6, 13)?

2 answers:

sergejj [24]3 years ago

8 0

Slope can be found using the formula $\frac{y2-y1}{x2-x1}$ .

$\frac{13-5}{6-2}$
$\frac{8}{4}
$
Slope = 2

So the slope of the line that passes through that point is 2.

Hope this helps :)

ludmilkaskok [199]3 years ago

5 0

Your answer is 2. have a great day

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Step-by-step explanation:

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Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

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Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

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Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

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Open bracket

$x^2 + 34x = 71000$

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$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

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$x = 250$

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Answer:

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