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3 years ago

|3n – 6| = 6 absolute value equation

Mathematics

1 answer:

ZanzabumX [31]3 years ago

3 0

Answer:

$n=\{0,\: 4\}$

Step-by-step explanation:

$|3n-6| = 6\\\therefore 3n - 6 = \pm 6\\\therefore 3n = 6 \pm 6\\\therefore 3n =6+6\:\: or\:\: 3n = 6-6\\\therefore 3n =12\:\: or \:\:3n = 0\\\\\therefore n =\frac{12}{3}\:\: or\:\: n =\frac{0}{3}\\\\\therefore n = 4 \:\: or\:\: n = 0\\\\\therefore n=\{0,\: 4\}\\$

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What is an equation of the line that passes through (2,2) and is parellel to the line y=7x

laila [671]

Answer:

Therefore, equation of the line that passes through (2,2) and is parellel to the line $y=7x$ is $y=7x-12$

Step-by-step explanation:

Given:

a line $y=7x$

To Find:

Equation of line passing through ( 2, 2) and is parellel to the line y=7x

Solution:

$y=7x$ ...........Given

Comparing with,

$y=mx$

Where m =slope

We get

$Slope = m = 7$

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (2 , 2) will also have the slope = m = 7.

Now the equation of line in slope point form given by

$(y-y_{1})=m(x-x_{1})$

Substituting the points and so we will get the required equation of the line,

$(y-2)=7(x-2)=7x-14\\\\y=7x-12......Equation\ of\ line$

Therefore, equation of the line that passes through (2,2) and is parellel to the line $y=7x$ is $y=7x-12$

4 0

3 years ago

Which numbers are rational? select all that apply. A. pi B. √50 C. 2.3 D. √144

aev [14]

C. 2.3
D.√144

Rational roots or decimals are numbers that have an end point.

pi 'technically' never ends, while √50 = 7.07106781…, which never ends either


hope this helps

5 0

3 years ago

Read 2 more answers

What is the slant height, s, of the triangular prism?

Rufina [12.5K]

Answer:

5.4

Explanation:

a²+b²=c²

2²+5²= 4+25

4+25=29

Now we have to square root the 29 which would make the answer 5.4