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3 years ago

What is an equation of the line that passes through the points (−6,−2) and (6,8)

Mathematics

1 answer:

bagirrra123 [75]3 years ago

4 0

Answer:

y=5/6x+3

Step-by-step explanation:

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the bus bound for northtown departs every 15 minutes and the bus for eastown departs every 18 minutes from the central station.

USPshnik [31]

Considering the least common factor of 15 and 18, it is found that they will depart from the central station at the same time at 11 AM.

<h3>How to find the time it takes for periodic events to repeat at the same time?</h3>

To find the time that passes between the events happening at the same time, we need to find the least common multiple of the periods.

In this problem, the periods are of 15 and 18, hence their lcm is found as follows:

15 - 18|2

15 - 9|3

5 - 3|3

5 - 1|5

1 - 1

Hence:

lcm(15,18) = 2 x 3 x 3 x 5 = 90 minutes.

They will depart from the central station at the same time in 90 minutes from 9:30 AM, hence at 11 AM.

More can be learned about the least common factor at brainly.com/question/16314496

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7 0

2 years ago

Math help please will mark brainliest

Musya8 [376]

Answer:

answer: positive 3

Step-by-step explanation:

when x=-2 y=3

3 0

3 years ago

Is 0.7 repeating irrational

Nastasia [14]

The number 0.7 is a rational number. Hoped this helped

4 0

3 years ago

Read 2 more answers

What are the coordinates of the orthocenter of △JKL with vertices at J(−4, −1) , K(−4, 8) , and L(2, 8) ?

PilotLPTM [1.2K]

ANSWER

The orthocenter is $(-4,8)$

EXPLANATION

The orthocenter is the point of intersection of all the altitudes of a triangle.

If it is a right angle triangle then the orthocenter is the point at which the right angle is made.

If it is not a right angle triangle, then you have to find the equations of any two of the altitudes and solve simultaneously.

So you must first check to see if it is a right angle triangle that way you do not have to do bunch work.

The given triangle has vertices $J(-4,-1)$ , $(-4,8)$ , and $L(2,8)$ .

$Slope_{JK}=\frac{8--1}{-4--4}$

$Slope_{JK}=\frac{8+1}{-4+4}$

$Slope_{JK}=\frac{9}{0}$

Since the denominator is zero, the slope is undefined.

If the slope of a straight line is undefined, then that line is parallel to the y-axis. In other words, it is a vertical line.

$Slope_{JL}=\frac{8--1}{2--4}$

$Slope_{JL}=\frac{8+1}{2+4}$

$Slope_{JL}=\frac{9}{6}$

$Slope_{JL}=\frac{3}{2}$

$Slope_{KL}=\frac{8-8}{2--4}$

$Slope_{KL}=\frac{0}{2+4}$

$Slope_{KL}=\frac{0}{6}$

$Slope_{KL}=0$

if a straight line has a slope of zero, that line is parallel to the x-axis or it is horizontal.

From the slopes we can see that side KL of the triangle is horizontal and side JK is vertical. This two sides will meet at right angles at K.

See graph.

Therefore the coordinates of K, $(-4,8)$ is the orthocenter of the given triangle.

3 0

3 years ago

A jacket is on sale for $170. this is 80% of the regular price. what is the regular price

Ilya [14]

Answer:

$212.5

Step-by-step explanation:

x= 100*170/80

x= 17000/80

x= 212.5

3 0

2 years ago