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castortr0y [4]
2 years ago
9

Solve the system by graphing.

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
3 0

Option A: (0,2) is the correct answer

Step-by-step explanation:

the given equations are linear equation.

System of linear equations can be solved by graphing. The graph of equations are in the form of lines, the solution of the equations is the point of intersection of both lines

Given equations are:

y = x+2\\y = -2x+2

We have used the online graphing calculator "desmos" to plot the lines (Picture Attached)

The lines intersect at: (0,2)

Hence,

Option A: (0,2) is the correct answer

Keywords: Linear equations

Learn more about linear equations at:

  • brainly.com/question/750742
  • brainly.com/question/7419893

#LearnwithBrainly

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What is the median of the data set? <br> {10, 15, 14, 14, 10, 10, 8, 18, 11, 12, 17, 16}
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The median of a data set is the 'middle number'. You can find the median by listing the given numbers from least to greatest (left to right) and finding the middle number.

8, 10, 10, 10, 11, 12, 14, 14, 15, 16, 17, 18

Cross one out on each side before getting to your last number that should be in the middle. 

The middle numbers are: 12 and 14. If it was only one number, we could already have the answer, but since it is two numbers in the middle, we need to add them up and divide by 2. 

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6 0
2 years ago
9.4 rounded to the nearest tenths
Julli [10]
The answer is going to be 9
8 0
2 years ago
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The side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube?
Thepotemich [5.8K]
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6 0
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A gas station stores its gasoline in a tank underground. The tank is a cylinder lying horizontally on its side. The radius is 5
atroni [7]

Answer:

The exact work required to pump all the gasoline to the surface of the ground is π × 5.094 × 10⁶ j

Step-by-step explanation:

Here, we note that volume of a slice is given by

Length × Width × Height

Length of slice = Length of cylinder = 15 ft

Since the slice height is Δy ft thick and located y ft above the center of the cylinder, then

Width of slice = 2 × √(r² - y²)

Where:

r = Radius of the cylinder =5 ft

∴ Width of slice = 2 × √(25 - y²)

∴Volume of slice = 15 ×2 × √(25 - y²)×Δy

Mass of slice then = 42 × 15 ×2 × √(25 - y²)×Δy = 1260 × √(25 - y²)×Δy

The force required to lift the slice is the weight of the slice, which is given by

32.2 × 1260 × √(25 - y²)×Δy = 40572 × √(25 - y²)×Δy N (Newtons)

The work done by the force is the product of the force and the distsnce through which the force acts.

Work done = 40752×(10-y) × √(25 - y²)×Δy

Therefore total work done is given by

W = \int\limits^5_{-5} {40752\times (10-y) \times \sqrt{ (25 - y^{2} )} } \, dy

 

= 5094000·π J = π × 5.094 × 10⁶ j

The exact work required to pump all the gasoline to the surface of the ground = π × 5.094 × 10⁶ j

6 0
2 years ago
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