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Advocard [28]
1 year ago
12

19. For the following exercises, use the descriptions of each pair of lines given below to find the slopes of Line 1 and Line 2.

Is each pair of lines parallel, perpendicular, or neither?
19. Line 1: Passes through (-8, -55) and (10, 89)
Line 2: Passes through (9, -44) and (4, -14)
Mathematics
1 answer:
worty [1.4K]1 year ago
4 0

Answer:

The given lines are un-related.

Step-by-step explanation:

In the question, two lines are given as line 1 passes through (-8,-55) and (10,89). Whereas, line 2 passes through (9,-44) and (4,-14).

It is required to find the slope of given lines and figure out whether they are perpendicular, parallel or neither.

To solve this question, first find the slope of both lines. Check if their product is equal to -1, then they are perpendicular. If the slopes are equal the lines are parallel.

Step 1 of 2

Find the slope of first line.

$$\begin{aligned}&m_{1}=\frac{89-(-55)}{10-(-8)} \\&m_{1}=\frac{144}{18} \\&m_{1}=8\end{aligned}$$

Step 2 of 2

Find the slope of first line.

$$\begin{aligned}&m_{2}=\frac{-14-(-44)}{4-9} \\&m_{2}=\frac{30}{-5} \\&m_{2}=-6\end{aligned}$$

Since, both slopes are neither equal nor reciprocal of each other.

Therefore, the lines are un-related.

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6 0
3 years ago
17. Admission prices to Cinema I to see a movie are $9.50 for an adult and $6.50 for a child. The admission charge at Cinema II
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Answer:

a. 9.5x + 6.5(x+c) < 8   when c>0

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for adult = $9.50

for child = $6.50

For Cinema 2:

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First of all, we will find out the condition when per person rates in both cinema are equal.

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y = no. of children

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=> x = y

So rates are equal when no. of adults equals no. of children

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3 years ago
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