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3 years ago

What is an equation of the line that passes through the point (-1, 4) and is parallel

Mathematics

1 answer:

vesna_86 [32]3 years ago

3 0

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is 2x + y = 1

We must first write the equation in the general form above

That's

y = - 2x + 1

Comparing with the general equation above

Slope = - 2

Since the lines are parallel their slope are also the same

Slope of parallel line = - 2

So the equation of the line using point

( - 1 , 4) and slope - 2 is

We have the final answer as

Hope this helps you

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Akimi4 [234]

Answer:

$\frac{2}{5}$

Step-by-step explanation:

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3 years ago

A farmer is tracking the amount of corn his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 50 models

polet [3.4K]

Answer:

The crop yield increased by 9 pounds per acre from year 1 to year 10.

Step-by-step explanation:

To solve this we are using the average rate of change formula: $Av=\frac{f(x_2)-f(x_1)}{x_2-x_1}$ , where:

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We know that the first point is 1 year and the second point is 10 years, so $x_1=1$ and $x_2=10$ . Replacing values:

$Av=\frac{-(10)^2+20(10)+50-[-(1)^2+20(1)+50]}{10-1}$

$Av=\frac{-100+200+50-[-1+20+50]}{9}$

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$Av=\frac{150-69}{9}$

$Av=\frac{81}{9}$

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Since $f(x)$ represents the number of pounds per acre and $x$ the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.

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3 years ago

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Read 2 more answers

Please translate 2 minus the product of a number and 9 is 20.

ryzh [129]

Hey there! :D

2 minus the product of a number and 9 is 20.

2-9n=20 <== equation

number=n minus= - (9 and n are next to each other, so that means they are being multiplied) It is equal to 20.

I hope this helps!
~kaikers

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3 years ago