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3 years ago

Write an equation for a line parallel to y=-3x+2 that passes through the point (-1,4)

1 answer:

3 0

y=−3x+2 is a linear equation in slope-intercept form with
slope m=(−3)
(and y-intercept =2)

We want the equation of a line with slope m=(−3) through the point (−2,−8)

Using the point-slope linear equation form:
(y−(−8))=(−3)(x−(−2))

Simplifying
y+8=−3x−6
or, in standard form
3x+y=−14

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Alona [7]

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2 years ago

Can the sides of a triangle have lengths 3.5, 10.9, and 14.4?

andrew11 [14]

Answer:

Step-by-step explanation:

A triangle can NOT have those lengths because any side of a triangle has to have a length greater than the sum of the other two sides. In this case, 14.4, one of the sides, is not greater than the sum of the other two sides (which is also 14.4).

Hope this helps :)

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2 years ago

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goblinko [34]

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2 years ago

Two payment options to rent a car: You can pay $20 a day plus 25¢ a mile (Option A) or pay $10 a day plus 50¢ a mile (Option B).

BaLLatris [955]

You must drive more than 40 miles to make option A the cheaper plan

Solution:

Two payment options to rent a car

Let "x" be the number of miles driven in one day

You can pay $20 a day plus 25¢ a mile (Option A)

25 cents is equal to 0.25 dollars

OPTION A : 20 + 0.25x

You pay $10 a day plus 50¢ a mile (Option B)

50 cents equal to 0.50 dollars

Option B: 10 + 0.50x

For what amount of daily miles will option A be the cheaper plan ?

For option A to be cheaper, Option A must be less than option B

Option A < Option B

$20 + 0.25x < 10 + 0.50x$

Solve the inequality

Add -0.50x on both sides

$20 +0.25x -0.50x < 10 + 0.50x - 0.50x\\\\20 - 0.25x < 10$

Add - 20 on both sides,

$20 - 0.25x - 20 < 10 - 20\\\\-0.25x < -10$

$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$

$0.25x > 10$

Divide both sides by 0.25

$x > 40$

Thus you must drive more than 40 miles to make option A the cheaper plan

7 0

3 years ago

What is the volume of a rectangular prism with a length of 2 inches, a width of an inch & is a quarter of an inch in height?

irina1246 [14]

Answer:

Step-by-step explanation:

Right rectangular prism

Solve for volume

V=whl

l Length

Width

Height

6 0

2 years ago