Transform the equation 3x + y = 5 into slope-intercept form.
2 answers:
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Answer:
- y = 1/2x +2
- y = -2x +7
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
The two plans cost the same at 450miles.
The cost is $118.50 when the two plans cost the same.
Working is in the photo.
The cost is $118.50 when the two plans cost the same.
Working is in the photo.
Answer:
72
Step-by-step explanation:
To do these, you have to place the entire function inside the parent function's variables.
You are inputting the value of the function g(x) into f(x)