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Vanyuwa [196]
3 years ago
13

Find the distance between the points (0, 6) and (2, 3). V13 173

Mathematics
2 answers:
Delvig [45]3 years ago
5 0

Answer:

\sqrt{13}

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (2, 3)

d = \sqrt{(2-0)^2+(3-6)^2}

  = \sqrt{2^2+(-3)^2}

  = \sqrt{4+9}

  = \sqrt{13}

Advocard [28]3 years ago
3 0
2,3 is the distance between the two points
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Find the number of terms, n, of the arithmetic series given a1=11, an=95, and Sn=689.
borishaifa [10]

Answer:

13

Step-by-step explanation:

Its calculate the common difference first.

(95-11)/(n-1).

We also have the sum of these n terms is 689.

So we have the following:

11

+(11+(95-11)/(n-1))

+(11+2(95-11)/(n-1))

+...

+(11+(n-1)(95-11)/(n-1))

This can be re-expressed alittle:

There are (n) amount of 11's in the addition... also 1+2+3+...+(n-1)=(n-1)(n)/2.

So we have the sum is

11(n)+n(n-1)/2×(95-11)/(n-1)

But this equal to 689.

We need to solve the following equation: ​

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The (n-1)'s in second term can cancel.

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4 0
3 years ago
Sally needs to find the circumference of a circle with a diameter of 20 inches. She uses a calculator to find the circumference.
Vlad1618 [11]

Circumference = pi*diameter

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This is somewhat close to what choice C is saying. The difference is that choice C has an extra 1 buried inside it. I'm not sure if your teacher made a typo.

7 0
3 years ago
Read 2 more answers
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