Answer:
The dimensions on the scale drawing would be 1 inch by 0.8 inches.
The scale is 1 in: 10 ft; since the actual width of the deck is 10 ft, then it will be 1 inch on the scale. To find the width:
1/10 = x/8
Cross multiply:
1*8 = 10*x
8 = 10x
Divide both sides by 10:
8/10 = 10x/10
0.8 = x
The width on the scale drawing will be 0.8 inches.
The y intercept is where it crosses the x axis. <span />
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Answer:
Step-by-step explanation:
The slope of a line is the tangent of the angle it makes with the x-axis. The given line has a slope of -1/3, so the lines we want will have slopes of ...
m1 = tan(arctan(-1/3) +45°) = 0.5 . . . . . using a calculator
m2 = tan(arctan(-1/3) -45°) = -2
Of course, these two lines are perpendicular to each other, so their slopes will have a product of -1: (0.5)(-2) = -1.
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We can use the point-slope form of the equation for a line to write the desired equations:
y = m(x -h) +k . . . . . line with slope m through point (h, k)
<u>Line 1</u>:
y = 1/2(x -2) +3
y = 1/2x +2
<u>Line 2</u>:
y = -2(x -2) +3
y = -2x +7