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Nastasia [14]
3 years ago
14

Solve this system of equations by the substitution method

Mathematics
1 answer:
OlgaM077 [116]3 years ago
3 0
5x+2y=2\\
6x+y=8\\\\5x+2y=2\\
y=8-6x\\\\
5x+2(8-6x)=2\\
5x+16-12x=2\\
-7x=-14\\
x=2\\\\
y=8-6\cdot2\\
y=8-12\\
y=-4
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Answer:

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Step-by-step explanation:

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3 years ago
Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. How far did Tanya run?
Yuliya22 [10]

Tanya run 50 yards across the diagonal of the rectangular field.

<u>Step-by-step explanation</u>:

Step 1 :

  • Length of the rectangular field = 40 yards
  • width of the rectangular field = 30 yards

Step 2 :

Measure of the diagonal = √(length^2 + width^2 )

Step 3 :

Diagonal = √(40^2 + 30^2 )

               = √(1600 + 900)

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Step 4 :

Since distance cannot be negative, The measure of diagonal = 50 yards.

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3 years ago
The area of a rectangle is 42 square inches and one side is 12 inches long find the perimeter of the rectangle
valentinak56 [21]

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3 0
3 years ago
Avery planned a circular garden and path as shown below. The radius of the garden is 4 feet and the path around the garden is 2
Digiron [165]

Answer:

Option C) 113.0 feet squared

Step-by-step explanation:

We are given the following in the question:

Radius of circular garden = 4 feet

Length of path around garden =  2 feet

We have to find the total area of garden and path.

The garden and path together makes a bigger circle with radius

R = 4 + 2 = 6\text{ Feet}

Area of garden and path =

A = \pi R^2

Putting values, we get,

A  = 3.14\times (6)^2 = 113.04\\A \approx = 113.0\text{ square feet}

Thus, the correct answer is

Option C) 113.0 feet squared

8 0
3 years ago
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galben [10]

Answer:

195.54

Step-by-step explanation:

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4 years ago
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