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krok68 [10]
3 years ago
5

write an equation of the line that passes through (-4,2) and is parallel to 5x+y=8. Please put your answer in slope-intercept fo

rm
Mathematics
1 answer:
makvit [3.9K]3 years ago
5 0

Answer:


Step-by-step explanation:

rewrite the equation in slope intercept form

y =  - 5x + 8

so, the slope is -5

to find an equation parallel to 5x + y = 8, they must have the same slope. so you need to use the slope of 5x + y = 8 and the point (-4, 2)  to find the parallel line.

use the point-slope formula: y= mx +c

m= -5; x= -4; y= 2

2 = -5(-4) + c

2= 20 +c

-18 = c

the new equation in slope intercept form is y = -5x -18

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Answer:

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2 years ago
Solve: |x+2|=3<br><br> Can someone explain how to do this
katovenus [111]

Hey there!

ORIGINAL EQUATION:
|x + 2| = 3

TRANSLATE:

x + 2 = 3 or x + 2 = -3


SOLVING for: x + 2 = 3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = 3 - 2

CANCEL out: 2 - 2 because it give you 1

KEEP: 3 - 2 because help solve for the current x-value

NEW EQUATION: x = 3 - 2

SIMPLIFY IT!
x = 1


Thus, your answer is: x = 2

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\


SOLVING for: x + 2 = -3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = -3 - 2

CANCEL out: 2 - 2 because it give you 0

KEEP: -3 - 2 because it help solve for the current x-value

NEW EQUATION: x = -3 - 2

SIMPLIFY IT!
x = -5

Thus, your answer is: x = -5

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Therefore, your answer is: x = 1 or x = -5


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

6 0
2 years ago
Find f(-2) if f(x)=4x^2+3x-5
valentina_108 [34]

Answer:

f(-2) = 5

Step-by-step explanation:

To find f(-2), plug in -2 wherever there is an x.

f(x) = 4x² + 3x - 5

f(-2) = 4(-2)² + 3(-2) - 5

f(-2) = 4(4) + 3(-2) - 5

f(-2) = 16 - 6 - 5

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3 0
3 years ago
Sofia can type the work in 10 hours. Nova can do it in 15 hours. They work together for 4 hours, then Sofia and Nova finish the
AlladinOne [14]

Answer:

2 days.

Step-by-step explanation:

Let, Sofia can type the x amount of work in 10 hours.

So, in one hour Sofia can type \frac{x}{10} amount of work.

Again, Nova can type x amount of work in 15 hours.

So, in one hour Nova can type \frac{x}{15} amount of work.

Hence, if they work together, they can type \frac{x}{10} + \frac{x}{15} = \frac{6x + 4x}{60} = \frac{10x}{60} = \frac{x}{6} amount of work in one hour.

Therefore, working together they can type the x amount of work in \frac{x}{\frac{x}{6} } = 6 days.

So, they have to work for (6 - 4) = 2 days more to finish the work. (Answer)

6 0
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Answer:

{x}^{2}  + x - 6 \\

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