Step-by-step explanation:Scientists determined that Antarctica's average winter temperature was -34.44 degrees Celsius. The difference between this temperature and Antarctica's highest recorded temperature was 49.44 degrees.

7 0

3 years ago

Will mark brainless

iren2701 [21]

Answer:

Step-by-step explanation:

y = 3x + 2

6x – 2y = 10

Ryan’s answer:

I solved by adding the equations. The solution is .

y = 3x + 2 → 3x + y = 2

6x – 2y = 10 → 3x – y = 5

6x = 7

x =

6x – 2y = 10 → 6 – 2y = 10

7 – 2y = 10

–2y = –3

y = -

Jesse’s answer:

I used matrices. The solution is .

Mark’s answer:

I graphed the equations. The lines are parallel and do not intersect, so there is no solution.

6 0

2 years ago

Two trains travel at right angles to each other after leaving the same train station at the same time. Two hours later they are

Alex787 [66]

Answer:

15 miles per hour is the speed of the slower train.

Step-by-step explanation:

As given in the figure attached,

Let the speed of train 1 is v and train 2 is u.

Therefore, distance traveled in 2 hours by train 1 will be = 2v miles

and distance traveled by train 2 will be = 2u miles

Now we can see in the figure a right angle triangle is formed by the two trains.

AB² + BC² = AC²

(2v)² + (2u)²= (65.30)²

4v² + 4u² = 4264.09

Now we divide this equation by 4

v² + u² = 1066.02

If speed of the slower train is v miles per hour then as per statement of the question.

u = v - 14

v = u + 14

By putting the value of v in the equation

(u + 14)² + u² = 1066

u² + 196 + 28u + u² = 1066

2u² + 28u + 196 = 1066

2u² + 28u + 196 - 1066 = 0

2u² + 28u - 870 = 0

By diving this equation by 2

u² + 14u - 435 = 0

u² + 29u - 15u - 435 = 0

u(u + 29) - 15(u + 29) = 0

(u + 29)(u - 15) = 0

u = -29, 15

Since speed can not be with negative notation so u = 15 miles per hour will be the speed.

Therefore, 15 miles per hour is the speed of the slower train.

5 0

2 years ago