All categories

3 years ago

A triangle has points R(-2,0) ,S(2,8) and T (8,2) as shown in the group. M is the midpoint of RT . What is the length of SM

Mathematics

1 answer:

wlad13 [49]3 years ago

5 0

The midpoint is calculated by averaging the coordinates of its endpoints:

$M = \left(\dfrac{-2+8}{2},\dfrac{0+2}{2}\right)=(3,1)$

Now we can use the usual distance formula to get the length of SM:

$SM=\sqrt{(2-3)^2+(8-1)^2}=\sqrt{1+49}=\sqrt{50}$

You might be interested in

Consider the NASCAR race, the Indianapolis 500. Its name refers to the total race distance of 500 miles. There are 44 cars are r

lukranit [14]

Answer: $5289.35

Step-by-step explanation:

Since the cars have an average mileage of 6.78 miles per gallon and the race is 500 miles, the number of gallons each car will take will be:

= 500/6.78

= 73.75 gallons

Since they're 44 cars, the total gallons of fuel will be:

= 44 × 73.75

= 3245 gallons

Since the fuel cost is $1.63 per gallon, the total fuel cost, will be:

= $1.63 × 3245

= $5289.35

8 0

3 years ago

Darin has 3 pairs of tennis shoes, 4 pairs of pants, 6 shirts, 2 belts, and 3

pshichka [43]

I would say A) or B) but I would say B) because you can take different clothing pieces to Match with many others

5 0

3 years ago

Find the distance between the two numbers on a number line. Write your answer as a fraction in simplest form. - 7/9, - 2/9 The d

Nesterboy [21]

The distance between the two points on the number line is of $\mathbf{\frac{5}{9}}$ units.

-------------------------------------------

The distance between two numbers on the number line is given by the <u>subtraction of the greater by the smaller number.</u>
The greater number is $-\frac{2}{9}$
The smaller is $-\frac{7}{9}$ .
The distance is:

$-\frac{2}{9} - (-\frac{7}{9}) = -\frac{2}{9} + \frac{7}{9} = \frac{-2 + 7}{9} = \frac{5}{9}$

Thus, distance of $\mathbf{\frac{5}{9}}$ units.

A similar problem is given at brainly.com/question/10795861

8 0

3 years ago

one lap around a track is equal to one fourth of a mile. A horse ran a distance of 9 laps in 2 minutes and 30 seconds. What was

Goryan [66]

13.3 repeating all you have to do is convert them into seconds and divide them by nine

5 0

3 years ago

If you travel 40 miles at 45 miles per hour, how many minutes will that take you?

GenaCL600 [577]

Ok so im not good with words and math, but i am going to try my best to explain it. first you will take 45/60 which is the 45 miles per hour. next you will put it equal to 40/x. x is how many minutes. they are set equal to each other because they are the same ratio. (i honestly dont know why you cross multiply, but you just do). you then multiply 40*60 and 45*x. this gives you 2400=45x. you then divide both sides by 45 and get 53 1/3 minutes. or 53 minutes and 20 seconds

7 0

3 years ago