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2 years ago

Find the midpoint of the segment with the given endpoints.

Mathematics

1 answer:

Ksju [112]2 years ago

5 0

The mid-point for given endpoints is (4,3)

Step-by-step explanation:

a mid-point is the point on a line segment that divides it into two equal portions.

If (x1,y1) and (x2,y2) are the coordinates of vertices of a line segment, then mid-point is given by:

$M = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

given

(x1,y1) = (9,9)

(x2,y2) = (-1,-3)

$M = (\frac{9-1}{2}, \frac{9-3}{2})\\\\=(\frac{8}{2}, \frac{6}{2})\\\\=(4,3)$

The mid-point for given endpoints is (4,3)

Keywords: Coordinate Geometry, Mid-point

Learn more about coordinate geometry at:

#LearnwithBrainly

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damaskus [11]

y= 4 hope this helps :)

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3 years ago

It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1

3241004551 [841]

Answer:

262.12mph and 419kph

Step-by-step explanation:

Given: It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1114 miles

To Find: the average speend of the plane in miles per hour, If every mile is approximately 1.6 kilometers, the speed of the airplane in kilometers per hour

Solution:

Distance between Orlando,Florida and Boston, Massachusetts $=1114$ $\text{miles}$

Time taken to cover the distance $=4\text{hours}$ and $15\text{minutes}$

We know that,

$\text{Average Speed}=\frac{\text{Total Distance}}{\text{Total time}}$

$=\frac{1114}{\frac{17}{4}}$

$=\frac{1114\times4}{17}$

$=262.12$ $\text{mph}$

It is given that,

$1\text{mile}=1.6\text{kilometer}$

therefore,

$1\text{mph}=1.6\text{kph}$

Speed Of plane in Kilometers per hours $=\text{speed in mph}\times1.6$

$419.4\text{kph}$

Speed of in miles per hour is $262.12$ $\text{mph}$ and Speed in kilometer per hour $419.4\text{kph}$

3 0

3 years ago

Tony sells sporting goods. He makes a 10 percent commission on every dollar of sales that he makes. One month Tony got a commiss

Zina [86]

Answer:

25000

Step-by-step explanation:

2500÷.10=25000

4 0

3 years ago

Read 2 more answers

1. Jane saved up 20 coins, all nickels and

kompoz [17]

Answer:

10 nickels and 10 quarters

Step-by-step explanation:

Given

Number of coins: 20

Vaiue of coins = $3.00

Required

Number of Nickels and Quarters;

<em>Let N =Nickels and Q =Quarters</em>

The total coins is represented as:

$N + Q = 20$

1 nickel is equivalent to $0.05 and 1 quarter is equivalent to $0.25; So

$0.05N + 0.25Q = 3$

Make N the subject of formula in the first equation

$N = 20 - Q$

Substitute this in the second equation

$0.05(20 - Q) + 0.25Q = 3$

$1 - 0.05Q + 0.25Q = 3$

Collect like terms

$-0.05Q + 0.25Q = 3 - 1$

$0.2Q = 2$

Multiply both sides by 5

$5 * 0.2Q = 2 * 5$

$Q = 10$

Recall that N = 20 - Q

$N = 20 - 10$

$N = 10$

6 0

2 years ago

The sweet sweet shop charges $8.45 for a pound of chocolate covered almonds. If Britain buys 1.5 pounds of the almonds, how much

choli [55]

Answer:

$12.68

Step-by-step explanation:

Multiply the price of one pound by the amount of pounds you're buying,

8.45 x 1.5

= 12.675

Round up

= 12.68

5 0

2 years ago