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3 years ago

1. In order to draw a straight vertical line segment that is 4 units long, which point must be connected to (1, 2)?

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

5 0

Answer:

D. (1,6)

Step-by-step explanation:

Vertical line segment:

A vertical line segment has fixed x coordinate.

In this question:

Vertical line segment that is 4 units long and is connected to (1,2).

The x-coordinate is x = 1.

The y-coordinate can be y = 2 - 4 = -2 or y = 2 + 4 = 6.

(1,6) is one of the options, so the correct answer is given by option D.

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Answer:

x=4

Step-by-step explanation:

subtract 2 from both sides---

5x + 2 - 2 = 22 - 2

simplify ---

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simplify -----

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4. Two points on a line are (-10, 1) and (5, -5). If

Vsevolod [243]

Answer:

The x-coordinate of another point is zero

Step-by-step explanation:

step 1

Find the slope between the two given points

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$(-10,1),(5,-5)$

substitute in the formula

$m=\frac{-5-1}{5+10}$

$m=\frac{-6}{15}$

Simplify

$m=-\frac{2}{5}$

step 2

Find the x-coordinate of another point

we have

(x,-3)

we know that

If the other point is on the line, then the slope between the other point and any of the other two points must be the same

Find the slope between the points

$(x,-3),(5,-5)$

Remember that

$m=-\frac{2}{5}$

substitute in the formula

$-\frac{2}{5}=\frac{-5+3}{5-x}$

$-\frac{2}{5}=-\frac{2}{5-x}$

the denominators must be the same

$5=5-x$

$x=0$

therefore

The x-coordinate of another point is zero

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2 years ago