9514 1404 393
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
Answer:
4, 1, 6.
See explanation
Step-by-step explanation:
You are given the equation
First subtract 
from both sides:
and multiply the equation by -1:
Now multiply (1) by 2:
At last, divide by 
Answer:
23
Step-by-step explanation:
From the graph, derive the best fit equation :
Using the points ;
(0,2.5) (100 ,35)
x1 = 0 ; y1 = 2.5 ; x2 = 100 ; y2 = 35
Slope formula, m = (y2-y1)/(x2-x1)
m = (35-2.5)/(100-0)
m= (32.5)/100
m = 0.325
The y intercept, value on the graph where best fit line crosses the y axis = 2.5
The equation :
y = mx + c
c = intercept ; m = slope
y = 0.325x + 2.5
y = Number of cars
x = number of customers
The number of customers if there are 10 cars parked :
10 = 0.325x + 2.5
10 - 2.5 = 0.325x
7.5 = 0.325x
x = 7.5 / 0.325
x = 23.076
x = 23
Answer:
answer is 5
Step-by-step explanation:
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Answer: x = 37
Explanation:
2x-5 + 3x = 180
5x - 5 = 180
5x = 185
x = 37
I hope this helped!
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- Zack Slocum
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