3 days ago

An air conditioning technician charged Robert $77.25 to repair his air conditioning system after 3 hours of work. The technician

charged the same rate for each hour of work. Which diagram represents the constant rate of change for this situation?

Mathematics

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Determine if JK and LM are parallel ,perpendicular, or neither. J(13,-5) K(2,6) L(-1,-5) M(-4,-2)

tester [12383]

Answer:

The lines are parallel

Step-by-step explanation:

it's established that

To find the slope between two points, we use the formula

$m=\frac{y2-y1}{x2-x1}$

Keep in mind

If lines are parallel, their slopes must be identical

When lines are perpendicular, their slopes are negative reciprocals (the product equals -1)

step 1

Determine the slope of JK

we have

$J(13,-5),K(2,6)$

insert the values

$m=\frac{6+5}{2-13}$

$m=\frac{11}{-11}$

$m_J_K=-1$

step 2

Compute the slope of LM

we have

$L(-1,-5),M(-4,-2)$

insert the values

$m=\frac{-2+5}{-4+1}$

$m=\frac{3}{-3}$

$m_L_M=-1$

step 3

Analyze the slopes

$m_J_K=-1$

$m_L_M=-1$

thus

$m_J_K=m_L_M$

hence

The lines are parallel

7 0

2 months ago

One student from a high school will be selected at random. Let A be the event that the selected student is a student athlete, an

Inessa [12570]

Answer:

0.32

Step-by-step explanation:

P(B|A) = P(A∩B) / P(A)

0.25 = 0.08 / P(A)

P(A) = 0.32

8 0

3 months ago

Read 2 more answers

A company buys pens at the rate of $7.50 per box for the first 10 boxes, $5.50 per box for the next 10 boxes, and $4.50 per box

tester [12383]

Let's start by calculating the cost of the first 10 boxes, which totals $75, and the next 10 boxes cost $55.

Together, these 20 boxes amount to $130 spent. With $18 remaining, you can purchase 4 more boxes since 18 divided by 4.5 equals 4.

Therefore, the maximum number of boxes you can buy with $148 is 24.

4 0

3 months ago