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3 years ago

For the point P(−19,18) and Q(−14,23), find the distance d(P,Q) and the coordinates of the midpoint M of the segment PQ.

Mathematics

1 answer:

Irina18 [472]3 years ago

3 0

For the point P(−19,18) and Q(−14,23), find the distance d(P,Q) and the coordinates of the midpoint M of the segment PQ.

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Consider the arithmetic sequence:

Leona [35]

Answer:

If n is an integer, the function that generate the sequence 10, 12, 14, 16, ... is $\mathbf{d(n)=8+2n\:for\:n>1}$

Option D is correct option

Step-by-step explanation:

We are given the arithmetic sequence:

10, 12, 14, 16, ...

If n is an integer, which of these functions generate the sequence?

We need to find the nth term for the given sequence

The nth term for arithmetic sequence will be: $a_n=a_1+(n-1)d$

where aₙ is nth term, a₁ is first term and d is common difference

Looking at the sequence a₁ = 10 and d = 2

So, nth term will be:

$a_n=a_1+(n-1)d\\a_n=10+(n-1)2\\a_n=10+2n-2\\a_n=8+2n$

So, nth term is: $a_n=8+2n$

In the options below, the only correct answer is option D. so, we can write nth term as: $d(n) = 8 + 2n\: for\: n > 1$

So, If n is an integer, the function that generate the sequence 10, 12, 14, 16, ... is $\mathbf{d(n)=8+2n\:for\:n>1}$

Option D is correct option

4 0

3 years ago

Read 2 more answers

the sum of three consecutive integers is 78. What is the value of the smallest of the three integers?

CaHeK987 [17]

Answer:

Step-by-step explanation:

Consecutive integers just means like one after another.

This means that:

First number = x

Second number = x + 1

Third number = x + 2

They've told us that the sum of 3 consecutive integers is 78.

First number + second number + third number = 78

Sub the equations we wrote into the formula above and we get:

x + x + 1 + x + 2 = 78

Gather the like terms.

3x + 3 = 78

Subtract 3 from both sides.

3x = 78-3 = 75

Divide both sides by 3 to solve for x.

x = 75/3 = 25

If you look at the very beginning we said that the first number = x.

Therefore it is 25.

Second number = x + 1 = 26

Third number = x + 2 = 27

8 0

3 years ago

What is (w-4/9) (-2/3) =-4/9

Basile [38]

W=10/9 is the answer

8 0

3 years ago

While driving home from work Donald's windshield got cracked by a small rock, causing $500 worth of damage. Given the policy sum

Dafna11 [192]

I think you would most likely add all of them well I think

4 0

2 years ago

Read 2 more answers

A solid cylinder has a radius of 4.9 cm and a height of 3.5 cm. Work out the total surface area of the cylinder. Give your answe

Novosadov [1.4K]

Answer:

252 cm²

Step-by-step Explanation:

=>Given:

r = 4.9 cm, and h = 3.3 cm of a solid cylinder, π = 3.14

=> Required:

Total Surface Area (T.S.A) = 2πrh + 2πr²

T.S.A = 2*3.14*4.9*3.3 + 2*3.14*4.9²

= 101.5476 + 150.7828

= 252.3304

= 252 cm² (approximated)

8 0

3 years ago

For the point P(−19,18) and Q(−14,23)​, find the distance​ d(P,Q) and the coordinates of the midpoint M of the segment PQ.

For the point P(−19,18) and Q(−14,23), find the distance d(P,Q) and the coordinates of the midpoint M of the segment PQ.