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QveST [7]
3 years ago
9

(9,5) and (4,-7) find the distance between two points

Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0

Answer:

13 units

Step-by-step explanation:

Use the distance formula, d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}, where (x2, y2) and (x1, y1) are two different points on the line.

Plug in the values:

d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

d = \sqrt{(9 - 4)^2 + (5 + 7)^2}

d = \sqrt{5^2 + 12^2}

d = \sqrt{25 + 144}

d = \sqrt{169}

d = 13

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Use induction to prove that 2? ?? for any integer n>0 . Indicate type of induction used.
Hoochie [10]

Answer with explanation:

The given statement is which we have to prove by the principal of Mathematical Induction

    2^{n}>n

1.→For, n=1

L H S =2

R H S=1

2>1

L H S> R H S

So,the Statement is true for , n=1.

2.⇒Let the statement is true for, n=k.

      2^{k}>k

                   ---------------------------------------(1)

3⇒Now, we will prove that the mathematical statement  is true for, n=k+1.

     \rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1

Hence it is true for, n=k+1.

So,we have proved the statement with the help of mathematical Induction, which is

      2^{k}>k

                 

   

3 0
3 years ago
[Function Composition] could someone help me with this answers or show work either is fine
zavuch27 [327]

Answer:

21

Step-by-step explanation:

Given the following expressions

f(x) = x³-2x

g(x) =-x-2

We are to find (fog)(-5)

fog = f(g(x))

f(g(x)) = f(-x-2)

Replace x with -x-2 in f(x)

f(-x-2) = (-x-2)³-2(-x-2)

f(-x-2) = (-x-2)³+2x+4

fog = (-x-2)³+2x+4

Substitute x = -5 into the result

fog(-5) = (-x-2)³+2x+4

fog(-5) = (-(-5)-2)³+2(-5)+4

fog(-5) = (5-2)³-10+4

fog(-5) = 3³-6

fog(-5) = 27-6

fog(-5) = 21

Hence the required result of the composite function is 21

8 0
2 years ago
What is the mean of 20,12,29,15,49
Vinil7 [7]

Answer: the mean is 25

Step-by-step explanation:

to find the mean you basically add all the numbers up and divide them by how many numbers there r. so 20+12+29+15+49= 125 and then you divide 125 by 5 because there are 5 numbers and you get 25

6 0
2 years ago
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The Bradys and their maid, Alice, took a trip to Hawaii for their summer vacation. The travel agent told Ike that the trip would
ludmilkaskok [199]
Anwser 55r34 becasue muiltplu
6 0
3 years ago
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Find the midpoint of the segment with the following endpoints.<br> (10,2) and (5, -7)
Sati [7]

Answer:

(7.5 , -2.5)

Step-by-step explanation:

Sub the values into this formula

4 0
3 years ago
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