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frozen [14]
3 years ago
15

Stephen says that the numbers 38 and 40 are relatively prime. Explain why he is incorrect in making this statement. (make a good

explanation plz)
Mathematics
1 answer:
Paha777 [63]3 years ago
8 0

Answer:

He is incorrect in this statement because 38 and 40 both have factors, other than 1 x itself. Prime numbers are numbers the only have 1 factor pair, and that is 1 x itself. Factors are the numbers you multiply to get the end result, and an example is 10x4=40. The factors of 40 are 8x5, 4x10, 2x20, and of course, 1x40. The factors of 38 are 2x19, and 1x38.

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Factorize x^2/16+xy+4y^2​
lisov135 [29]

Answer:

\frac{x^2}{16} +xy+4y^2 can be factored out as: (\frac{x}{4} +2\,y)^2

Step-by-step explanation:

Recall the formula for the perfect square of a binomial :

(a+b)^2=a^2+2ab+b^2

Now, let's try to identify the values of a and b in the given trinomial.

Notice that the first term and the last term are perfect squares:

\frac{x^2}{16} = (\frac{x}{4} )^2\\4y^2=(2y)^2

so, we can investigate what the middle term would be considering our a=\frac{x}{4}, and b=2y:

2\,a\,b=2\,(\frac{x}{4}) \,(2\,y)=x\,y

Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:

(\frac{x}{4} +2\,y)^2

4 0
3 years ago
What is meant by algebraic equation​
snow_tiger [21]

Answer:

An algebraic equation is an equation used in algebra which uses numbers and letters. The letters are representing unknown numbers and are called variables.

4 0
2 years ago
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Need help #14 <br> The center of the circle is (0,-8). The radius is 9.
Shtirlitz [24]
X^2+ (y+8)^2 = 81.....this is C.
X^2 + y^2 + 16y +64=81 so x^2 + y^2 + 16y = 17.....this is D.

So I’d say C and D are correct
3 0
3 years ago
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A movie is 7 1 8hours long. After 45 minutes, how much of the movie is left?
kkurt [141]

Answer: 382.5 minutes

Step-by-step explanation:

7 1/8 = 7.125

7.125*60=427.5

Thus, the movie is 427.5 minutes long

427.5-45 = 382.5

Hope it helps <3

5 0
3 years ago
Each floor in the old headquarters of Oldham Bank and Trust is 14 feet in
WARRIOR [948]
80ft! I might be wrong though

How I did it:
Since there are 5 floors (ground floor included) then that means only 1 floor is 24ft so I multiplied 14 by 4 to get 56 then I added 24 to get 80!
3 0
3 years ago
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