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tino4ka555 [31]
3 years ago
8

In a reflection across the x axis a given coordinate (2,-1) transforms itsself into which of the following?

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0

Answer:

(2, 1)

Step-by-step explanation:

In a reflection across the x-axis, the x coordinate will stay the same but the y coordinate will be the negative version of the original number.

This means (2, -1) will change to (2, 1)

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For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of
Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is (-1)^{k+1}(\frac{1}{2^{k}}).

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as (-1)^{k+1}(\frac{1}{2^{k}}).

where k is from 1 to 10.

By the given expression sequence will be \frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......

In this sequence first term "a" = \frac{1}{2}

and common ratio in each successive term to the previous term is 'r' = \frac{\frac{(-1)}{4}}{\frac{1}{2} }

r = -\frac{1}{2}

Since the sequence is infinite and the formula to calculate the sum is represented by

S=\frac{a}{1-r} [Here r is less than 1]

S=\frac{\frac{1}{2} }{1+\frac{1}{2}}

S=\frac{\frac{1}{2}}{\frac{3}{2} }

S = \frac{1}{3}

Now we are sure that the sum of infinite terms is \frac{1}{3}.

Therefore, sum of 10 terms will not exceed \frac{1}{3}

Now sum of first two terms = \frac{1}{2}-\frac{1}{4}=\frac{1}{4}

Now we are sure that sum of first 10 terms lie between \frac{1}{4} and \frac{1}{3}

Since \frac{1}{2}>\frac{1}{3}

Therefore, Sum of first 10 terms will lie between \frac{1}{4} and \frac{1}{2}.

Option D will be the answer.

3 0
3 years ago
Tessa is training for a marathon she runs 13 km a day for 3 days
creativ13 [48]

nice

i think there's supposed to be more to the problem lol

4 0
2 years ago
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What are the first two terms of the sequence defined recursively by the formula
MrRa [10]
A3^2+4=1604

a3=40

a2^2+4=40

a2=6

a1^2+4=6

a1=√2

So the first two terms are √2 and 6, answer C
5 0
2 years ago
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Eli and Dylan are brothers and decide to have a race from one end of the street to the other. Since Eli is older, he gives Dylan
ICE Princess25 [194]

Answer:

x=4

sorry if its wrong i did my best

6 0
2 years ago
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PHOTO HERE^<br> help????????
Dmitrij [34]
Please put a thanks so i know your question was answered. It helps since im new here and really boosts my morale :D

if x =4 and y =-3

F = \frac{ x^{2}-4y }{2}  =  \frac{ (4)^{2}-4(-3) }{2}  =  \frac{ 16+12 }{2}  = 14


3 0
3 years ago
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