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disa [49]
4 years ago
13

5.3.8

Mathematics
2 answers:
tatuchka [14]4 years ago
8 0

Answer:

3

Step-by-step explanation:

m=\frac{rise}{run}=\frac{1+11}{1+3}=\frac{12}{4}=\boxed{3}

The slope of the line would be 3.

Hope this helps.

Damm [24]4 years ago
8 0

Answer:

Slope = 3

Step-by-step explanation:

Let (x1,y1) = (-3,-11) and (x2,y2) = (1,1)

Slope = y2-y1/(x2-x1)

1-(-11)/(1-(-3) = 12/4 = 3

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You are building a shelf that fits in a corner. In the figure, the entire shelf is △XYZ. Each unit in the coordinate plane repre
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Complete Question: You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area of the shelf.

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112.5 units²

Step-by-step explanation:

Area of the shelf = ½*base*height.

The base is the distance between Z(0, 5) and Y(15, 5)

The height is the distance between X(15, 20) and Y(15, 5).

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Use the distance formula to find ZY and XY.

Distance between Z(0, 5) and Y(15, 5):

ZY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

Z(0, 5) = (x_1, y_1)

Y(15, 5) = (x_2, y_2)

ZY = \sqrt{(15 - 0)^2 + (5 - 5)^2}

AB = \sqrt{(15)^2 + (0)^2}

AB = \sqrt{225 + 0} = \sqrt{225}

AB = 15

Distance between X(15, 20) and Y(15, 5):

XY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

X(15, 20) = (x_1, y_1)

Y(15, 5) = (x_2, y_2)

XY = \sqrt{(15 - 15)^2 + (5 - 20)^2}

XY = \sqrt{(0)^2 + (-15)^2}

XY = \sqrt{0 + 225} = \sqrt{225}

XY = 15

Area of shelf = ½*15*15 = ½*225 = 112.5 units²

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3 years ago
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