Choose the correct answer.

Mathematics

1 answer:

Yuri [45]2 years ago

6 0

Step-by-step explanation:

Distance between Train 1 and Train 2=95 miles

Avg speed Train 1 = 45mph, avg speed Train 2=60mph

If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other?

Let t = travel time (in hrs) until they are opposite each other

Like the hint said, when this happens the total distance traveled by both trains will be 95 mi.

write a distance equation from this fact: Dist = speed * time

;

Train 1 dist + train 2 dist = 95 mi

45t + 60t = 95

105t = 95

t = 95%2F105

t = .90476 hrs

.90476 * 60 = 54.3 min

Check solution by finding the total of the distances the two train travel

45(.90476) + 60(.90476) =

40.7 + 54.3 = 95 mi

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The midpoint of a line segment is (−1,6) . One endpoint of the line segment is (4,−7) .

pogonyaev

Answer:

The other coordinate is (-6,19)

Step-by-step explanation:

$m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

(4,-7)

(x,y)

[(4+x)/2 , (-7+y)/2] = (-1,6)

(4 + x)/2 = -1

4 + x = -2

× = -6

(-7 + y)/2 = 6

-7 + y = 12

y = 19

(Correct me if i am wrong)

5 0

3 years ago

Which values have exactly 2 significant figures? Check all that apply.

JulijaS [17]

ANSWER

Options B, C and D have exactly 2 significant figures.

EXPLANATION

To see whether the numbers have exactly 2 significant figures, round all to 2 significant figures. The ones that remains the same have exactly 2 significant figures.

$302\approx 300$ yards to 2.s.f