Answer:
4x-7
Step-by-step explanation:
Solve for x:
180 = 44 + 3x - 11 + 4x - 7
Combine like terms: 180 = 26 + 7x
Simplify: 154 = 7x
Simplify: 22 = x
Substitute: 3(22) - 11 = 55 and 4(22) - 7 = 81
Create inequality: 44 < 55 < 81
We have been given an equation that represents the distance an airplane travels in Miles (d) is related to the time in seconds (t).
A. Upon substituting t=1 in our equation we will get,
We can see that our plane is travelling at rate of 0.15 miles per second.
Therefore, plane is flying at the rate of 0.15 miles per second.
B. To find distance traveled by airplane in 30 seconds we will substitute t=30 in our given equation.
Therefore, plane will travel 4.5 miles in 30 seconds.
C. To find time it will take to travel 12.75 miles we will substitute d=12.75 in our given equation.
Therefore, plane will take 85 seconds to travel 12.75 miles.
Part (a)
Since point E is on segment AD, this means the slope of ED is the exact same as the slope of AD.
Use the slope formula to calculate the slope of AD.
m = (y2-y1)/(x2-x1)
m = (7-2)/(4-0)
m = 5/4
<h3>Answer: 5/4</h3>
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Part (b)
The same idea and steps apply as part (a)
<h3>Answer: 5/4</h3>
====================================================
Part (c)
The x coordinates are the same, so we subtract the y coordinates to find the distance between C and D, which is the length of segment DC.
7-2 = 5
<h3>Answer: 5 units</h3>
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Part (d)
This time, the y coordinates are the same. We'll subtract the x values
4-2 = 2
<h3>Answer: 2 units</h3>
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Part (e)
Same idea as part (d), just different numbers this time.
2-0 = 2
<h3>Answer: 2 units</h3>
Answer:
The scale factor of the smaller rectangle to the larger rectangle is 3/2
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
To find out the scale factor of the smaller rectangle to the larger rectangle. set up a proportion
----> ratio of corresponding heights
or
----> ratio of corresponding bases
therefore
The scale factor of the smaller rectangle to the larger rectangle is 3/2