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Nutka1998 [239]
3 years ago
11

#12 The distance between the points (3, 3) and (7, 3) is

Mathematics
1 answer:
Marina CMI [18]3 years ago
5 0

Solution:

We have been asked to find the distance between the points (3, 3) and (7, 3).

we can find the distance between the two points using the distance formula.

The distance formula is given as

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ \text{where } (x_1, y_1) \ and  \ (x_2, y_2) \ are  \ two \ points\\

Now substitute the given values we get

D=\sqrt{(7-3)^2+(3-3)^2}\\ \\ \ D=\sqrt{4^2+0}=4\\

Hence the distance between the given points is 4

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The 2-point form of the equation of a line can be written as ...

... y = (y2-y1)/(x2-x1)·(x -x1) +y1

For your points, this is ...

... y = (1-5)/(3-6)·(x -6) +5

... y = (4/3)(x -6) +5

It can also be written as

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3 years ago
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Find the 21st term in the arithmetic sequence.<br> 3, 7, 11, 15, 19, ...
NNADVOKAT [17]

The 21st term of the given arithmetic sequence is 83. The nth term of an arithmetic sequence is applied to find the required value where n = 21.

<h3>What is the nth term of an arithmetic series?</h3>

The nth term of an arithmetic sequence is calculated by the formula

aₙ = a + (n - 1) · d

Here the first term is 'a' and the common difference is 'd'.

<h3>Calculation:</h3>

The given sequence is an arithmetic sequence.

3, 7, 11, 15, 19, ....

So, the first term in the sequence is a = 3 and the common difference between the terms of the given sequence is d = 7 - 3 = 4.

Thus, the required 21st term in the sequence is

a₂₁ = 3 + (21 - 1) × 4

⇒ a₂₁ = 3 + 20 × 4

⇒ a₂₁  = 3 + 80

∴ a₂₁  = 83

So, the 21st term in the given arithmetic sequence is 83.

Learn more about the arithmetic sequence here:

brainly.com/question/6561461

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1 year ago
a groups of 210 children attended a school picnic. only 60 of the children ate. what fraction of the children ate?
Amiraneli [1.4K]
The answer is 60/210.
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Answer:

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Step-by-step explanation:

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Answer:

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3 years ago
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