How do you simplify the like terms in 9y-y-7y+3

Mathematics

1 answer:

Andre45 [30]3 years ago

3 0

Answer:

9y-y-7y+3= y+3

Step-by-step explanation:

Any time there is no number in front of a variable, it's automatically 1, you just don't put the 1 there. So it would be

9y - 1y= 8y

So after you do that, you take the 7y and subtract it from 8y

8y - 7y= 1y

And remember you don't put the 1 so it simplifies to just y.

You simply add or subtract all the numbers with the same variable

I'm not the best at explaining so if you have any questions on it I can answer them in the comments :)

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What operation should you use to solve -6

Ludmilka [50]

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2 years ago

The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in fe

nirvana33 [79]

Refer to the diagram shown below.

When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15 (1)

Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6 (2)
a(90 - h)² + k = 6 (3)

From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.

From (1) and (2), obtain
225a + k = 15
2025a + k = 6

Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft

Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125

A graph of the solution verifies that the solution is correct.