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3 years ago

1) Graph by making a table. y=1/2x+2

Mathematics

1 answer:

nadya68 [22]3 years ago

3 0

Answer:

Below.

Step-by-step explanation:

You can use any 4 x values, so we could have:

- 2 0 2 4

Now find the corresponding y values by substitution in the equation:

For x = -2, y = 1/2 *-2 + 2 = 1.

For x = 0, y = 1/2 * 0 + 2 = 2.

For x = 2 , y = 1/2* 2 + 2 = 3.

For x = 4 , y = 1/2 * 4 + 2 = 4.

So the table is:

-2 0 2 4

1 2 3 4

You then plot the points (-2, 1), (0, 2), (2, 3) AND (4, 4) on the grid and draw a line through them The graph will be a straight line.

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Find the area of the polygon defined by the coordinates (0,-5),(-5,0),(-15,-20),and(-20,-15)

alekssr [168]

Area of the polygon defined by the given points is 62.5 sq units

Step-by-step explanation:

Step 1 :

Let P be the point (-5,0) Q = (0,-5), R = (-15,-20) and S = (20,-15)

We have to to find the area of the polygon PQRS

Step 2 :

The area of polygon given the vertices (x $(x_{1} ,y_{1} ), (x_{2} ,y_{2}) ... (x_{n} ,y_{n} )$ is given by

Area = mod ( $(x_{1} y_{2} - y_{1}x_{2}) + (x_{2} y_{3} - y_{2}x_{3}) + ... (x_{n} y_{1} - y_{n}x_{1})$ ) ÷ 2

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Substituting the corresponding values ,

Area of PQRS = mod ( (25 - 0)+ (0-75) +(300-300) +( 0-75) ) ÷ 2

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= mod (-125) ÷ 2 = 125 ÷ 2 = 62.5 sq units

Step 3 :

Answer :

Area of the polygon defined by the given points is 62.5 sq units

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2 years ago

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Step-by-step explanation:

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