Thomas decides to use the method of proportions and similar
2 answers:
Answer:
The lamppost is 30 ft tall.
Step-by-step explanation:
You need to draw a diagram of the problem. Refer to attachment.
Now you need to convert the measurements that are in feet to in. The 1 foot ruler is now 12 in. and the 5 foot post's shadow is now 60 in.
The next step is to create a proportion between both angles.
x over 1 is simplified to x and 60 divided by 2 is just 30. So the lamppost is 30 ft tall.
Hope that helped. :)
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Answer:
The y-intercept of the function is: b=10
Step-by-step explanation:
Given the table
x y
1 8
2 6
3 4
4 2
Taking any two points to find the slope
- (1, 8)
- (2, 6)
The slope between (1, 8) and (2, 6) is:
We know that the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept.
Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).
8 = -2(1) + b
8 = -2 + b
b = 8+2
b = 10
Thus, the y-intercept of the function is: b=10