Which of these geometric terms best describes railroad tracks?

Mathematics

1 answer:

Darya [45]3 years ago

3 0

Gee, there's nothing to choose from. I'd guess parallel lines.

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Explain how a number line can be used to find the difference for 34-28?

Vikentia [17]

You could start on 34 on the number line and jump back 28 times to get your answer.

8 0

3 years ago

Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.

KiRa [710]

Answer:

The sum is 493.4

Step-by-step explanation:

In order to find the value of the sum, you have to apply the geometric series formula, which is:

$\sum_{i=1}^{n} ar^{i-1} = \frac{a(1-r^{n})}{1-r}$

where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.

The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.

In this case:

a=40

b= 1.005

n=12 (because the first term is 40 and the last term is 40(1.005)^11 )

Replacing in the formula:

$\frac{a(1-r^{n})}{1-r} = \frac{40(1-1.005^{12})}{1-1.005}$

Solving it:

The sum is 493.4

4 0

3 years ago

Find the equations of the tangent lines to x2+y2=1 at x=0, x=1 and x=35.

Ivanshal [37]

Assuming the equation is x^2 + y^2 = 1, then that's a circle, with radius 1, centered on the origin [0,0].

So there are two tangents at x = 0. They are y = 1, and y = -1 (horizontal lines).

There is one tangent at x = 1. It is x = 1 (a vertical line).

There is no tangent at x = 35, because the original equation has no solution at x = 35.

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3 years ago

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Elden [556K]

The additive inverse of a number a is the number that's added to yields zero

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Which of these ratios are equivalent? 4/6, 10/25 and 6/15

spayn [35]

10/25 and 6/15
10/25=2/5 and 6/15=2/5
Sorry for the mixup.

3 0

4 years ago

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