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Setler [38]
3 years ago
8

If 3t-7=5t, then 6t#

Mathematics
1 answer:
Inessa05 [86]3 years ago
3 0
Here, 3t - 7 = 5t
5t - 3t = -7
2t = -7
t = -7/2

Then, 6t = 6(-7/2) = 3(-7) = -21

In short, Your Answer would be -21

Hope this helps!
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Answer:

17662.5 sq. feet

Step-by-step explanation:

We know that the formula for Area of a Circle is A = \pi (r)^2.

r = radius; d = diameter, which is r*2


And so, in the question, it gives you that the diameter is 150, first we divide it by 2 to get the radius.

150/2 = 75

The question said to keep \pi =3.14, so then we plug in the equation-

A = 3.14 * 75^2


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17662.5 sq. feet

I hope this helps!
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Write the equation of the line that passed through the point (-1,-4) that is perpendicular to the line
r-ruslan [8.4K]

Answer:

The line that meets these conditions is y = 1.5x - 2.5

If you want to use fractions, it would be y = 3x/2 - 5/2

Step-by-step explanation:

To get a line perpendicular to y = -(2/3)x + 1, We can start by finding its slope.  That's easy enough as a perpendicular slope is the negative reciprocal of the given one.  As this has a slope of -2/3, our new slope has to be 3/2, or 1.5

All we need to do then is express that rate of change relative to the given point (-1, -4).  We can do this by expanding the classic equation:

Δy = sΔx

We can write that as such:

y - (-4) = 1.5(x - (-1))

y + 4 = 1.5(x + 1)

y + 4 = 1.5x + 1.5

y  = 1.5x + 1.5 - 4

y = 1.5x - 2.5

Or if you want to express those numbers as fractions, it would be y = 3x/2 - 5/2.

To make sure the answer's correct, we can simply plug -1 in as the x value, and see if we get y = -4:

y = 3(-1) / 2 - 5/2

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y = -4

So we know that our answer is correct (assuming that the slope is correct, which it is - a perpendicular line always has the negative reciprocal of the other line's slope).

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