Simplify the given expression. (4x2squared-15x-21)+3x2squared-10)
1 answer:
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Answer:
The shortest length of wire that can be used is 29.47 ft.
Step-by-step explanation:
To solve this problem we can follow the following steps:
1) We have the dimensions of the floor of the room. The shortest distance between its opposite corners is the diagonal. We calculate the diagonal using the Pythagorean theorem.
2) Since the speaker is on the ceiling, and the amplifier is on the floor, then 7 more feet of wire is needed to reach the speaker. <em>Observe the attached image</em>
3) The final distance (d) is:
Answer:
k = 5,
y = 5x
Step-by-step explanation:
If y is proportional to x,
y ∝ x
Then the equation will be
y = kx
Her k = proportionality constant.
Now we choose a point from the given table.
Let the point is (2, 10).
By putting the values of x and y in the equation,
10 = 2×k
k =
k = 5
This will be true for any point we choose from the table.
And the equation will be y = 5x
Answer:
Step-by-step explanation:
Hooke's Law applies here, which is a linear relationship. It would be easier to solve this using proportions with N of force on the top and the amount of stretch in cm on the bottom. Set up with our unknown, the number of cm:
and cross multiply:
20x = 300 so
x = 15 cm