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3 years ago

6ft to 8yd as a fraction in simplest form

1 answer:

8 0

Must be in the same units
6 ft/ 24 ft (8yds x 3 = 24 ft)
$\frac{6}{24} = \frac{1}{4}$

Let's use yards instead
6 ft = 2 yds
so
2 yds/8 yds again is 1/4

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Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2).

arsen [322]

Answer:

$y=-2x+2$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

<u>1) Determine the slope</u>

$m=\frac{y_2-y_1}{x_2-x_1}$ where the two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (-1, 4) and (0, 2)

$=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2$

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$y=-2x+b$

<u>2) Determine the y-intercept</u>

$y=-2x+b$

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.

One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

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3 years ago

A slide and its ladder form a right triangle with the ground, with the

zhuklara [117]

Answer:

15.6 ft

Step-by-step explanation:

Let's call

a: distance from the top of the ladder to the ground = 10 ft

b: distance from the bottom of the ladder to the bottom of the slide = 12 ft

c: length of the slide

From Pythagorean theorem:

c² = a² + b²

c = √(10² + 12²)

c = 15.6 ft

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2 years ago