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2 years ago

what is an equation of the line that passes through the point (-8,0) and is parallel to the line x+2y=14

1 answer:

6 0

Answer:

y = -1/2x - 4

Step-by-step explanation:

First we wanna convert x + 2y = 14 into a slope-intercept equation.

x + 2y = 14

2y = 14 - x

y = 7 - x/2 or y = -1/2x + 7

Now that we have the line in slope-intercept form, we can solve for a line that is parallel to.

But first, what do parallel lines have in common? Parallel lines never intersect first of all and second they have the same slope so meaning we’re going to use -1/2 in order to find the equation of a parallel line so…

y = -1/2x + b

use the given point in the question

0 = -1/2(-8) + b

0 = 4 + b

b = 0 - 4

b = -4

The y-intercept of the line is -4

The equation of the line that passes through the point (-8, 0) and is parallel to the line x + 2y = 14 is y = -1/2x - 4

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AnnyKZ [126]

Answer:

$2.25

Step-by-step explanation:

First, we (always) highlight key details. In this case, we would highlight that th candy is 90 cents per pound, and the she bought 2.5 pounds. Now, we just multiply 2.5 by .90, and boom! We get $2.25. Mrs. Nixon spent $2.25 (or two dollars and twenty-five cents) on candy bars.

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3 years ago

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Step-by-step explanation:

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3 years ago

Translate and solve: <br> The product of a number<br> and -8 is more than 64

mr Goodwill [35]

Answer:

x < -8

Step-by-step explanation:

Step 1: Translate

Product = multiplication = -8(x)

More than = >

64 = 64

Step 2: Write out inequality

-8x > 64

Step 3: Solve

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5 0

3 years ago

What is the surface area of the right prism below?

-Dominant- [34]

Answer:

120 sq. units

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3 0

3 years ago

Read 2 more answers

A new experimental strain of pepper plants was being studied to estimate how much fruit one plant would produce in a typical gro

zmey [24]

Answer:

58.9% produced produced peppers weighing between 13 and 16 pounds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1.75

We are given that the distribution of weight of peppers is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(peppers weighing between 13 and 16 pounds)

$P(13 \leq x \leq 16) = P(\displaystyle\frac{13 - 15}{1.75} \leq z \leq \displaystyle\frac{16-15}{1.75}) = P(-1.142\leq z \leq 0.571)\\\\= P(z \leq 0.571) - P(z < -1.142)\\= 0.716 - 0.127 = 0.589 = 58.9\%$

$P(13 \leq x \leq 16) = 58.9\%$

58.9% produced produced peppers weighing between 13 and 16 pounds.

7 0

3 years ago