Point A is at (3, 2.5) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is ____. Input numbers and decimal point only, such as 5.8

Answers

Answer 1
Answer:

Answer: 1.1 units

Step-by-step explanation:

We know that the distance between any two points (a,b) and (c,d) is given by :-

D=√((d-b)^2+(c-a)^2)

Then , the distance between the points A (3, 2.5) and B (3, 1.4) will be :-

D=√((1.4-2.5)^2+(3-3)^2)\n\n\Rightarrrow D= \sqrt{{(-1.1)}^2+0^2}\n\n\Rightarrow D =√(1.1^2) \n\n\Rightarrow D =1.1

Hence, the distance between the two points is  1.1 units.

Answer 2
Answer: The Answer Is , 2.5-1.4 = 1.1

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2 and 1/6 times 3 and 2/5 equals...A.7 and 11/30
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Answers

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The first five terms of a sequence are 7,10, 13 , 16 and 19. which of the following functions define this sequence for all integers n>or equal to 1?A. f[n]= 3n=7
B.f[n]= 4+3n
C. f[n]= 4[3]^n-1
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Answers

The correct option is D) f(n) = 4 + 3n.

Step-by-step explanation:

Given :

Arithmetic Sequence -- 7,10,13,16,19

Solution :

The explicit formula of arithmetic sequence is given by,

T_n = a+(n-1)d ------- (1)

where, common difference (d) = 10 - 7 = 3

first term (a) = 7

So from equation (1),

T_n = 7+(n-1)3 = 7+3n-3

T_n = 4 + 3n

Therefore, the correct option is D) f(n) = 4 + 3n.

For more information, refer the link given below

brainly.com/question/15412619?referrer=searchResults

Answer:

Option B is correct

For n\geq 1 , the function for the given sequence is defined as; f[n] = 4 +3n

Step-by-step explanation:

An arithmetic sequence is a sequence in which the difference between each consecutive term is constant.

An explicit formula for this arithmetic sequence given by;

a_n = a+(n-1)d where a represents first term

Since, the given sequences; 7 , 10 , 13 , 16 and 19

⇒ common difference(d) = 3 and a = 7

Since.

10 -7 = 3

13- 10 = 3  ....

The function which defined this sequence is;

f[n]=a_n = 7 +(n-1)(3)

using distributive property:

f[n] = 7 + 3n -3

f[n] = 4 +3n

therefore, the function for the given sequence for all integers n\geq 1 is;  f[n] = 4 +3n