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rewona [7]
4 years ago
15

Which set of ordered pairs gives the polygon shown?

Mathematics
1 answer:
makvit [3.9K]4 years ago
7 0
The correct answer is B.

Explanation
Since each interval mark is 1/4 of a unit, we will write this as 0.25.  For the first point, 4 interval marks to the left of the y-axis makes it a negative number; 4(0.25) = 1; this makes the x-coordinate of this point -1.  2 interval marks above the x-axis makes it positive; 2(0.25) = 0.5; this makes the y-coordinate 0.5.  This makes the first ordered pair (-1, 0.5).

The second point is on the y-axis.  This makes the x-coordinate 0.  It is 5 intervals above the x-axis; this makes it positive.  5(0.25) = 1.25 will be the y-coordinate, making the point (0, 1.25).

The third point is 3 intervals to the right of the y-axis; this makes it positive, and 3(0.25)=0.75 for the x-coordinate.  It is 3 intervals below the x-axis; this makes it negative, and 3(0.25) = 0.75, making the y-coordinate -0.75.  This puts the third point at (0.75, -0.75).
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castortr0y [4]
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To solve this, because y is equal to 2x+5, you can substitute 2x+5 into the bottom equation for y.

You now have 3x - (2x + 5) =-6

This can be solved like a normal equation. Multiply each term in the parenthesis by -1.

3x - 2x - 5 = -6

Subtract 2x from 3x

x - 5 = -6

Add 5 to both sides

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Now you can solve for y by plugging -1 in for x in either equation. Im going to use the top one.

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You can check your answer by plugging in the values for x and y into both equations and making sure both sides equal each other.
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3 years ago
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shutvik [7]
Lets work backwards. π r2 = 62 cm. 62 / 3.14 = 17.75. Square root of 17.75 = 4.21. Okay, now using the radius of 4.21 we will use the formula C = 2 πr. C = 2 (3.14)(4.21) = 2 (13.22) = 26.44. So the circumference of each button is approximately 26.44 cm.
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Step-by-step explanation:

Point-Slope form is: y-y_1=m(x-x_1)

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Replace 'm' with 5, 'x1' with -1, and 'y1' with 3:

y-y_1=m(x-x_1)\rightarrow\boxed{y-3=5(x+1)}

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Answer:x

=

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x

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