Determine whether lines L1 and L2 passing through the pairs of points are parallel, perpendicular, or neither. L1 : (–5, –5), (4, 6) L2 : (–9, 8), (–18, –3)

Answers

Answer 1

Answer:

Answer: The lines L1 and L2 are parallel.

Step-by-step explanation: We are given to determine whether the following lines L1 and L2 passing through the pair of points are parallel, perpendicular or neither :

L1 : (–5, –5), (4, 6),

L2 : (–9, 8), (–18, –3).

We know that a pair of lines are

(i) PARALLEL if the slopes of both the lines are equal.

(II) PERPENDICULAR if the product of the slopes of the lines is -1.

The SLOPE of a straight line passing through the points (a, b) and (c, d) is given by

$m=(d-b)/(c-a).$

So, the slope of line L1 is

$m_1=(6-(-5))/(4-(-5))=(6+5)/(4+5)=(11)/(9)$

and

the slope of line L2 is

$m_2=(-3-8)/(-18-(-9))=(-11)/(-9)=(11)/(9).$

Therefore, we get

$m_1=m_2\n\n\Rightarrow \textup{Slope of line L1}=\textup{Slope of line L2}.$

Hence, the lines L1 and L2 are parallel.

Answer 2

Answer:

Answer:

Parallel

Step-by-step explanation:

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Find the value of the expression: 70–a^2 for a=–25; 1; 10

Answers

Answer:

a = -25: -555
a = 1: 69
a = 10: -30

Step-by-step explanation:

Put the value where "a" is in the expression and do the arithmetic.

For a = -25: 70 - (-25)² = 70 - 625 = -555
For a = 1: 70 - (1)² = 70 - 1 = 69
For a = 10: 70 - (10)² = 70 - 100 = -30

_____

If you're unsure of your own arithmetic skills, you can always use a calculator.

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a bear was climbing a tree it took a few steps forward and then slipped a few steps backward after takin 12 total steps of equal distance it was back at its starting position how many steps did the bear take in the forward and backward directions