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AveGali [126]
3 years ago
5

- Varun drove to work this morning. It took

Mathematics
1 answer:
babymother [125]3 years ago
6 0

Answer:

See attached graph

Step-by-step explanation:

The graph of distance from home as a function of time starts at the origin of coordinates (0,0) since at time zero minutes Varun is at home.

Then we represent his driving at constant speed (although it has not been specified in the problem) as a line with positive slope equal to his speed, that goes on for the first five minutes. After that, he reaches the traffic light that keeps him at the same distance from home for three minutes (notice the line representing the distance covered is flat from minute 5 to minute 8, while he is not moving).

Then he starts moving again (we assume at the same speed as before - so the line representing his position is again a line with positive slope and with the SAME inclination as that which represents the first 5 minutes of his trip.

The line ends at minute 15 which is the time it took him to get to work.

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3 0
4 years ago
Did I do this right????
Svetlanka [38]

Answer:

x = -7, y = -3 yup you did it right!

Step-by-step explanation:

Solve the following system:

{-2 y + x = -1 | (equation 1)

8 y - 5 x = 11 | (equation 2)

Swap equation 1 with equation 2:

{-(5 x) + 8 y = 11 | (equation 1)

x - 2 y = -1 | (equation 2)

Add 1/5 × (equation 1) to equation 2:

{-(5 x) + 8 y = 11 | (equation 1)

0 x - (2 y)/5 = 6/5 | (equation 2)

Multiply equation 2 by 5/2:

{-(5 x) + 8 y = 11 | (equation 1)

0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:

{-(5 x) + 8 y = 11 | (equation 1)

0 x + y = -3 | (equation 2)

Subtract 8 × (equation 2) from equation 1:

{-(5 x) + 0 y = 35 | (equation 1)

0 x + y = -3 | (equation 2)

Divide equation 1 by -5:

{x + 0 y = -7 | (equation 1)

0 x + y = -3 | (equation 2)

Collect results:

Answer: {x = -7, y = -3

4 0
2 years ago
What are m<1 and m<2?
spin [16.1K]

Answer:

m∠1=114

m∠2=66

Step-by-step explanation:

First, let's find the m∠2

∠2 is inside a triangle, and the angles in a triangle must add to 180 degrees.

So,

55+59+∠2=180

Add 55 and 59

114+∠2=180

We are trying to find ∠2, so we have to get it by itself.

114 is being added on to ∠2. To undo this, subtract 114 from both sides.

114-114+∠2=180-114

∠2=66

Now we know the m∠2, but we still have to find m∠1.

∠2 and ∠1 are on a straight line. This means they are supplementary angles and add to 180 degrees.

∠1+∠2=180

We know that ∠2 is 66, so we can substitute it in.

∠1+66=180

66 is being added onto ∠1. To undo this, subtract 66 from both sides.

∠1+66-66=180-66

∠1=114

6 0
3 years ago
Read 2 more answers
8% of 70 is what number
GarryVolchara [31]
8 percent of 70 is 5.6






3 0
3 years ago
1
Sindrei [870]

Answer:

88

Step-by-step explanation:

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the answer is 88

7 0
3 years ago
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