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Nadya [2.5K]
3 years ago
7

Which option correctly shows how this formula can be rearranged to isolate x^2?

Mathematics
1 answer:
Dimas [21]3 years ago
4 0

Answer:

A

Step-by-step explanation:

We have:

\displaystyle m=\frac{x_1-x_2}{y_1-y_2}

And we want to isolate x₂.

So, let’s first remove the denominator by multiplying both sides by it:

\displaystyle m(y_1-y_2)=\frac{x_1-x_2}{y_1-y_2}(y_1-y_2)

The right side will cancel. This will leave:

\displaystyle m(y_1-y_2)=x_1-x_2

Now, we can subtract x₁ from both sides. So:

\displaystyle m(y_1-y_2)-x_1=-x_2

Finally, we will multiply both sides by -1. So:

\displaystyle x_2=-m(y_1-y_2)+x_1

Hence, our answer is A.

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Determine whether the series is convergent or divergent. if it is convergent, find its sum. (if the quantity diverges, enter div
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The geometric series is convergent and the value is 16.

<h3>How to illustrate the information?</h3>

Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:

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Note that:

3 = (4)(3/4)

9/4 = (3)(3/4)

27/16 = (9/4)(3/4)

So this a geometric series with t_1 = 4 and r = 3/4. Therefore:

4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16

The correct option is 16.

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brainly.com/question/24643676

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Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum

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choices are

1. 3/4

2. 12

3. 4

4. divergent

5. 16

7 0
1 year ago
X fraction 2 - 5 = 25
xxTIMURxx [149]

Answer:

X=60

Step-by-step explanation:

X fraction 2 - 5 = 25

X/2-5=25

X/2 =25+5

X/2=30

X=60

60 is the answer

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