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ra1l [238]
3 years ago
5

A pair of linear equations is shown below:

Mathematics
2 answers:
Paladinen [302]3 years ago
8 0

Answer:

The correct option is D.

Step-by-step explanation:

The given equations are

y=-x+1

y=2x+4

The slope intercept form of a line is

y=mx+b

Where, m is slope and b is y-intercept.

In equation (1),

y=-x+1

Here, m=-1 and b=1. It means the slope of the line is -1 and y-intercept is 1.

In equation (1),

y=2x+4

Here, m=2 and b=4. It means the slope of the line is 2 and y-intercept is 4.

The steps to solve the pair of equations graphically are:

Step 1: On a graph, plot the line y = -x + 1 which has y intercept = 1 and slope = -1; and y = 2x + 4 which has y intercept = 4 and slope = 2.

Step 2: Write the coordinates of the point of intersection of the two lines as the solution.

Therefore the correct option is D.

trapecia [35]3 years ago
5 0
That would be option D

The y intercepts are 1 and 4 and the slope are -1 and 2.
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Alona [7]

Using a system of equations, it is found that since 20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable c: number of child bikes.
  • Variable a: number of adult bikes.

Each child bike requires 4 hours to build, as do each adult bike. The company has 100 hours of testing, hence:

4c + 4a = 100.

c + a = 25.

With 20 child bikes and 6 adult bikes in a week, we have that c = 20, a = 26, hence:

c + a = 26

20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

More can be learned about a system of equations at brainly.com/question/24342899

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4 0
2 years ago
Karen measures the width of a garden plot and records that it is 44.25 meters. Its actual width is 45.5 meters.
vazorg [7]

Answer

Find out the what is the percent error in the measurement, to the nearest tenth of a percent .  

To prove

Formula

Percentage\ error = \frac{error\times 100}{exact}

Where error = | Approx - Exact |

As given

Karen measures the width of a garden plot and records that it is 44.25 meters. Its actual width is 45.5 meters.

Approx value = 44.25 meters    

Actual value = 45.5 meters        

error = | 44.25 - 45.5 |

         = |-1.25|

         = 1.25

Put in the formula

Percentage\ error = \frac{1.25\times 100}{45.5}

Percentage\ error = \frac{125}{45.5}

Percentage error = 2.7%

Therefore the percentage error is 2.7% .




3 0
3 years ago
Solve by elimination.<br> 5x-7y=19<br> 7x-7y=-7
SVEN [57.7K]

Answer:

(x,y)=(-13,-12)

Step-by-step explanation:

5x - 7y = 19

7x - 7y = -7  Multiply both sides of the equation by -1

Which then gives you :

5x-7y=19  Sum the equations vertically to eliminate  

-7x+7y=7                 at least on variable

-2x=26      Divide both sides of the equation by -2

X=-13       Substitute the given value of x into the equation 7x - 7y =-7

7 x(-13)-7y=-7 solve the equation for y

y=-12

Thus gives you (-13,-12)

Hope this was useful!!! Sorry if it's wrong.

4 0
3 years ago
A cylinder has radius of 4 inches and height 10inches.There’s a small cylinder inside the previous cylinder of radius of 2 inche
MaRussiya [10]

The surface area of the cylinder is 48π inches².

<h3>How to find the Surface area of a cylinder?</h3>

Surface area of a cylinder = 2πr(r + h)

where

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Therefore,

Surface area of the smaller cylinder = 2 × π × 2(2 + 10)

Surface area of the smaller cylinder = 4π(12)

Surface area of the smaller cylinder = 48π

learn more on Surface area  here: brainly.com/question/1780074

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8 0
2 years ago
Find the values of x, y, and z.
SashulF [63]

The three inside angles of a triangle need to equal 180 degrees.

This means X = 180 - 43 - 59 = 78 degrees.

X and Z make a straight line that also needs to equal 180 degrees,

so Z = 180 - 78 = 102 degrees.

Y = 180 - 102 - 13 = 65 degrees.

5 0
3 years ago
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