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2 years ago

A line is parallel to y=4x-2 and intersects the point (-1, -2) what is the equation of this parallel line?

Mathematics

1 answer:

Tema [17]2 years ago

8 0

Answer:

y = 4x + 2

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

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What is the solution to the system: 9x+3y=24 2y+4x=8

egoroff_w [7]

Answer:

x = 4, y = -4

Step-by-step explanation:

9x + 3y = 24

3x + y = 8 divide both sides by 3

y = 8 - 3x subtract 3x from both sides

2y + 4x = 8

2(8 - 3x) + 4x = 8 replace y with 8 - 3x

16 - 6x + 4x = 8 distributive property

-6x + 4x = 8 - 16 subtract 16 from both sides

-2x = -8 divide both sides by -2

x = 4

y = 8 - 3x

y = 8 - 3(4) replace x with 4

y = 8 - 12

y = -4

8 0

2 years ago

Read 2 more answers

Write an equation in slope-intercept form of the line that passes through (6,-2) and (12,1)

yarga [219]

Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:

$y =\frac{1}{2}x-5$

Step-by-step explanation:

Given points are:

(x1,y1) = (6,-2)

(x2,y2) = (12,1)

The slope intercept form is:

$y=mx+b$

We have to find the slope first

$m =\frac{y_2-y_1}{x_2-x_1}\\=\frac{1-(-2)}{12-6}\\= \frac{1+2}{6}\\=\frac{3}{6}\\=\frac{1}{2}$

Putting the value of slope

$y = \frac{1}{2}x+b$

To find the value of b, putting (12,1) in the equation

$1 = \frac{1}{2}(12)+b\\1 = 6+b\\b = 1-6\\b=-5$

Putting the values of m and b

$y =\frac{1}{2}x-5$

Hence,

Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:

$y =\frac{1}{2}x-5$

Keywords: Equation of line, slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

8 0

2 years ago

Evaluate lim x → 0+ x ln(x3). solution the given limit is indeterminate because, as x → 0+, the first factor (x) approaches 0 co

Degger [83]

$\displaystyle\lim_{x\to0^+}x\ln x^3=\lim_{x\to\infty}\frac{\ln\frac1{x^3}}x=-3\lim_{x\to\infty}\frac{\ln x}x=\frac\infty\infty$

L'Hopital's rule tells us the limit is equal to

$-3\displaystyle\lim_{x\to\infty}\frac{\frac1x}1=0$

6 0

3 years ago

If f(x) = 6x - 4, what is f(x) when x = 8?<br> 2<br> 16<br> 44<br> 52

natima [27]

Answer:

Step-by-step explanation:

By substituting x=8 in the equation we get the answer as 44.

5 0

3 years ago

Read 2 more answers

Mr. Chin's hotel bill is $143. He leaves 12% of the hotel bill as a tip for the housekeeping service. What is the total amount M

Vlada [557]

First, begin by converting the tip of 12% to a decimal.

.12

Now, multiply that by the total bill.

.12*143=17.16

We now know the numerical value of the tip.

Add the tip to the total bill and get your answer.

143+17.16=160.16

4 0

3 years ago

Read 2 more answers