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Lynna [10]
2 years ago
9

The line passing through the points (-2,5) and (1,8)

Mathematics
1 answer:
ycow [4]2 years ago
4 0

Answer:

<u>y = x + 7</u>

Step-by-step explanation:

Calculate the slope of a line that passes through (-2,5) and (1,8).  The slope is the Rise/Run between the 2 points:

Rise = (8 - 5) or 3.

Run = (1-(-2)) = 3

Rise/Run, the slope m, is 3/3 or 1.

The equation can be written as y = 1x + b.

We need to find a value of b that forces the line though both points.  Do that by entering one of the two points into y = 1x + b and solve for b.  I'll use point (1,8)

y = x + b

8 = 1 + b

b = 7

The equation becomes <u>y = x + 7</u>

See the attached graph.

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I honestly need help O.o
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Answer:

Its b!!!!!!

Step-by-step explanation:

8 0
3 years ago
A cereal manufacturer packages breakfast cereal in individual - sized boxes measuring 2 inches by 3 inches by 4 inches. The same
Ilia_Sergeevich [38]

Answer:

2.5

Step-by-step explanation:


3 0
3 years ago
A group of 105 visitors goes on the snow vehicle tour. Each vehicle can carry 9 visitors. How many snow vehicles will be needed
sergejj [24]

Answer:

12 because you have to divide 105 by 9 2inch is 11.6666666... so you round up and get 12

7 0
3 years ago
Which linear equation has no solution?
olga_2 [115]

Answer:

Option A

Step-by-step explanation:

Given:

  • a. 3x-5= 3x + 5
  • b. 3x-5= 3x - 5
  • c. 3x - 5 = 2x+5
  • d. 3x-5 = 2x + 10

To find:

  • Which one of the linear equations have no solution.

Solution:

a)  3x-5= 3x + 5

Add 5 to both sides

3x-5= 3x + 5

3x - 5 + 5 = 3x + 5 + 5

Simplify

(Add the numbers)

3x - 5 + 5 = 3x + 5 + 5

3x = 3x + 5 + 5

(Add the numbers)

3x  = 3x + 5 + 5

3x = 3x + 10

Subtract 3x from both sides

3x = 3x + 10

3x - 3x = 3x + 10 - 3

Simplify

(Combine like terms)

3x -3x = 3x + 10 - 3

0 = 3x + 10 - 3

(Combine like terms)

0 = 3x + 10 - 3

0 = 10

The input is a contradiction: it has no solutions

b)  3x-5= 3x - 5

Since both sides equal, there are infinitely many solutions.

c)  3x - 5 = 2x+5

Add 5 to both sides

3x = 2x + 5 + 5

Simplify  2x + 5 + 5 to 2x + 10

3x = 2x + 10

Subtract 2x from both sides

3x - 2x = 10

Simplify 3x - 2x to x.

x = 10

d) 3x-5 = 2x + 10

Add 5 to both sides

3x = 2x + 10 + 5

Simplify 2x + 10 + 5 to 2x + 15

3x = 2x + 15

Subtract 2x from both sides

3x - 2x = 15

Simplify 3x -2x to x.

x = 15

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

Answer:

As you can see all c and d both have solutions, eliminating them as options. Option B has infinite solutions leaving Option A which has no solutions.

Therefore, <u><em>Option A</em></u> is the linear equation that has no solution.

3 0
2 years ago
Read 2 more answers
Connor is stuck in a traffic jam on a single-lane road. The traffic report tells him the traffic jam stretches for 5.5 miles. If
dedylja [7]

Answer:

2323

Step-by-step explanation:

According to the questions above, the report from the traffic jam says the traffics jam stretches for 5.5 miles

As Connor assumes that each car is about 12.5 long

The next step is to convert 5.5 miles into feet.

Since 1 mile = 5280

To convert 5.5 miles, 5.5 x 5280 = 29040 feet  

To find the numbers of cars struck in traffic, we will have to divide 29040 by 12.5

29040/12.5 = 2323.3 ≅ 2323    

5 0
3 years ago
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