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2 years ago

10

The Furlani’s went on a road trip. Driving at a constant speed for 2 hours, they covered 120 miles of their trip. If their desti

nation is 600 miles away, how long will they be driving?

1 answer:

Nat2105 [25]2 years ago

8 0

Answer:

They will be driving for a total of 10 hours or 8 more hours than they've already traveled.

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The function of f(x) varies directly with x, and f(x)=48 when x=8.<br> Evaluate f(x) when x=2

lara31 [8.8K]

Here's the equation for direct variation. k=y/x [ f(x)=y]
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3 years ago

Can someone please take me step by step to find x?

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-(7x + 4)- 2x + 2 = 52

Distribute the negative sign:
-7x -4 - 2x + 2 = 52

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-9x - 2 = 52

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A right angle = 90 degrees

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2 years ago

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3 years ago

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Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)

LenaWriter [7]

Answer:

The slope-intercept form of the line equation is:

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the points

(-1, -2)

(3, 4)

Determining the slope between (-1, -2) and (3, 4)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)$

$m=\frac{4-\left(-2\right)}{3-\left(-1\right)}$

$m=\frac{3}{2}$

Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

$4=\frac{3}{2}\left(3\right)+b$

switch sides

$\frac{3}{2}\left(3\right)+b=4$

$\frac{9}{2}+b=4$

subtract 9/2 from both sides

$\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}$

$b=-\frac{1}{2}$

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

$y = mx+b$

$y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)$

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

Therefore, the slope-intercept form of the line equation is:

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

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2 years ago