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REY [17]
3 years ago
5

Find the coordinates of G if F(2,5) is the midpoint of line GJ and J and has coordinates (-2,8)

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Answer:

G(6,2)

Step-by-step explanation:

If point F(x_F,y_F) is the midpoint of the segment GJ, where G(x_G,y_G) and J(x_J,y_J), then

x_F=\dfrac{x_G+x_J}{2},\\ \\y_F=\dfrac{y_G+y_J}{2}.

In your case,

F(2,5),\ J(-2,8),

therefore,

2=\dfrac{x_G+(-2)}{2},\\ \\5=\dfrac{y_G+8}{2}.

Thus,

x_G-2=4\Rightarrow x_G=6,\\ \\y_G+8=10\Rightarrow y_G=2.

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Six is the base because 6^4 is 1296.
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3 years ago
Which of the following represents the factorization of trinomal below
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A is the correct answer.......

Here is the work shown:

x^2-x-20

A is the correct answer because when using the distributive property it is the only example that results in x^2-x-20.

(x+4)(x-5)

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3 years ago
An English teacher has 6 short stories, 4 novels, and 23 poems to choose from. How many ways can he assign one of each to his cl
Karolina [17]

Answer:

552

Step-by-step explanation:

This is a problem of permutation which can be solved by rule of fundamental counting principle.

This principle states that if there "m" ways of doing one thing and "n" ways of doing other. Then no. of ways in which both the things can be done together is "m*n". This can be extended for m, n, p,r, s things and so on.

example: if there are 5 shirts and 3 trousers then number of ways in which the shirts and trousers can be worn is 5*3 = 15 ways.

_____________________________________________

The given problem is on similar concepts.

here  6 short stories, 4 novels, and 23 poems have to be assigned to his class.

Thus it can be done in 6*4*23 = 552 ways.

5 0
3 years ago
Which expressions are equivalent to the one below? Check all that apply. log2 16 + log2 16 A. log2(28) B. 8 C. log 256 D. log2 2
eduard

Answer:

B. 8.

D.  log2 256.

Step-by-step explanation:

Generally:

loga b + loga b

= loga b^2.

Therefore log2 16 + log2 16

= log2 16^2

= log2 256.

From the above:

256 = 2^x   where x is the log.

Now 2^8 = 256   so the original log2 16 + log2 16 = 8.

3 0
3 years ago
Read 2 more answers
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