For the lines to be parallel, the lines would need to be the same slope. This means to find the slope of each we would take the difference of the rise over the run.

$\frac{1-3}{-2-k}=\frac{-2}{-2-k}$

and

$\frac{0-k}{1-5}=\frac{-k}{-4}$

To find K, set them equal.

$\frac{-2}{-2-k} = \frac{-k}{-4}\\-k(-2-k) = -2*-4\\2k+k^2=8\\k^2+2k-8=0$

Factor the quadratic and solve for K.

$(k+4)(k-2)=0$

k+4=0 so k=-4

k-2=0 so k=2

4 0

3 years ago

What is 9 5/6 - 2 1/3

Mariana [72]

9 5/6 - 2 1/3 is 7 1/2.

You could get this answer by finding the same denominator of the fractions. The LCM of both is 6. Multiply the 1 of the second fraction 2 times because you had to multiply the denominator 2 times to get to 6.
You should have 2 2/6.

Now get 9 5/6 - 2 2/6.

The answer is 7 3/6, simplifies into 7 1/2.
9 5/6 - 2 1/3 is 7 1/2.

5 0

2 years ago

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in 2015, the population of a town was 8914. The population is expected to grow at a rate of 1.36% each year. At this rate, what

Irina18 [472]

It is 12495 for sure i took the test and got it right

3 0

2 years ago

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Which symbol replaces ? to make the statement true?

kow [346]

To make it easier, I am going to simplify it.

4×16-16 ? 4×[24-2×(4+8)]

64-16 ? 4×[24-2×12]

48 ? 4×[24-24]

48 ? 4×[0]

48 ? 4×0

48 ? 0

48>0

The symbol is >, so the answer is A.

8 0

2 years ago

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