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3 years ago

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.

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3 years ago

Tessa is training for a marathon she runs 13 km a day for 3 days

creativ13 [48]

nice

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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

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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

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

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3 years ago