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4 years ago

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8) Midpoint (0,9)

Mathematics

1 answer:

shepuryov [24]4 years ago

5 0

Answer:

(-9, 10)

Step-by-step explanation:

The location of the midpoint of a line with endpoint at ( $x_1,y_1$ ) and ( $x_2,y_2$ ) is given as (x, y). The location of x and y are:

$x = \frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}$

Given the endpoint (9,8) and Midpoint (0,9), the location of the other endpoint can be gotten from:

$0=\frac{9+x_2}{2}\\ \\9+x_2=0\\\\x_2=-9\\\\Also,9=\frac{8+y_2}{2}\\ \\8+y_2=18\\\\y_2=18-8\\\\y_2=10$

Hence the endpoint is at (x2, y2) which is at (-9, 10)

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beks73 [17]

We can calculate the width of the rectangle patio with pythagorean theorem:

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1 year ago

Lynn is making a snack. The recipes call for 38 cup of water for oats and 14 cup of water for dried fruit. She only has 1 cup of

Artyom0805 [142]

Answer:

3.4/6

Step-by-step explanation:

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3 years ago

Read 2 more answers

The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h

WITCHER [35]

Answer:

It will take them 5 hours to meet if they start moving towards eachother simultaneusly.

Step-by-step explanation:

Distance, s = 540 miles

Motocycle's speed, v = 48 mph

Time for motorcycle to cover 48 miles, t = $\frac{Distance}{Speed}$

= $\frac{540}{48}$ = 11.25 h

For a car it takes 2.25 hours less than 11.25 for motorcycle:

Time for car than becomes: 11.25 - 2.25 = 9 h

Speed for car would be v(c) = $\frac{Distance}{Time}$

= $\frac{540}{9}$ = 60 mph

<em>For finding when they will meet, we will need relative speed: </em>

Since they are moving towards each other the relative speed is the sum of speed of car and the speed of motorcycle

Relative Speed = 48 + 60 = 108 mph

Distance = 540 miles

Time = $\frac{Distance}{Speed}$

= $\frac{540}{108}$

= 5 hours

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3 years ago

When the Olympic Games were held outside Mexico City in 1968, there was much discussion about the effect the high altitude ( fee

Dmitrij [34]

Complete Question

When the Olympic Games were held outside Mexico City in 1968, there was much discussion about the effect the high altitude (7340 feet) would have on the athletes. Assuming air pressure decays exponentially by 0.5% every 100 feet, by what percentage is air pressure reduced by moving from sea level to Mexico City?

Round your answer to one decimal place.

....... %

Answer:

The value is $x = 73.4\%$

Step-by-step explanation:

From the question we are told that

The height of Mexico city is h = 7340 feet

The rate at which air pressure decays is 0.5% per 100 feet

From the data given

$0.5 \% \to 100 \ feet \\x\% \to 7340$

=> $x = \frac{7340}{100}$

=> $x = 73.4\%$

3 0

4 years ago

11. An old machine requires three times as many hours to complete a job as

valentinak56 [21]

Answer:

Step-by-step explanation:

$9(r_n+r_o)=1\\ \\ r_n+r_o=\frac{1}{9}\\ \\ r_o=\frac{r_n}{3}\\ \\ r_n+\frac{r_n}{3}=\frac{1}{9}\\ \\ \frac{4r}{3}=\frac{1}{9}\\ \\ 4r=\frac{1}{3}\\ \\ r=\frac{1}{12}\\ \\ \text{So working alone it would take the new machine 12 hours to finish the job.}$

8 0

3 years ago

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8) Midpoint (0,9)​

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8) Midpoint (0,9)