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Veronika [31]
3 years ago
9

Solve the system of linear equations by using the elimination method: 4x+ y = 36 8x- y = 60

Mathematics
1 answer:
katrin [286]3 years ago
8 0

Answer:

(8,4)

Step-by-step explanation:

y and -y cancels out leaving you with "12x=96"

that simplifies to "x=8"

Then you substitute 8 into the "x" from either equation and y should equal 4

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Find the area of the shaded polygon:
Darina [25.2K]

Answer:

6 units squared

Step-by-step explanation:

To solve this problem you can solve for the entire area of the square and subtract the area of the unfilled areas for the area of the shaded region..

Area of entire square is 4*4=16

Now for the sections that are unfilled:

4*3/2= 6

1*1/2= 0.5

2*1 = 2

1*1 = 0.5

2*1/2 = 1

Total area of Unfilled region = 6 + 0.5 + 2 + 0.5 +1 = 10

Area of filled region = 16 - 10 = 6 units squared

Hope this helped!

7 0
4 years ago
Read 2 more answers
Please help WOrth 10 points
rjkz [21]

Answer:

52 cubic units

Step-by-step explanation:

1. Divide the shape into 2 parts:

The first one: a 2 by 4 by 6 rectangular prism.

The second one: a 1 by 4 by 1 rectangular prism.

2. Find the volumes of the prisms.

2*4*6=48

1*4*1=4

3. Add the two volumes

48+4=52 cubic units (or units^3)

6 0
3 years ago
Find the slope of the line.​
zimovet [89]

Answer:

Rise -5 and Run 2

Slope of -5/2

8 0
3 years ago
Marco can swim at a speed of 45 m/min. to find how long it will take him to swim 200 m he solves the equation 45 times T equals
zaharov [31]

Answer:

T represents the amount of time it will take him to travel 200 meters if he swims at 45 meters per minute.

Step-by-step explanation:

4 0
3 years ago
Manuela solved the equation 3−2|0.5x 1.5|=2 for one solution. her work is shown below. 3−2|0.5x 1.5|=2 −2|0.5x 1.5|=−1 |0.5x 1.5
irakobra [83]

The other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4

<h3>How to determine the solution?</h3>

The equation is given as:

3 − 2|0.5x + 1.5| = 2

Subtract 3 from both sides

-2|0.5x + 1.5| = -1

Divide both sides by -2

|0.5x + 1.5| = 0.5

Expand the equation

0.5x + 1.5 = 0.5 or 0.5x + 1.5 = -0.5

Subtract 1.5 from both sides

0.5x = -1 or 0.5x = -2

Divide both sides by 0.5

x = -2 or x = -4

Hence, the other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4

Read more about absolute value equation at:

brainly.com/question/26954538

#SPJ4

4 0
2 years ago
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