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siniylev [52]
3 years ago
5

John says the transformation rule (x, y) > (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the im

age (0, –2). What was his error?
Mathematics
1 answer:
erik [133]3 years ago
5 0

If he used the rule (x + 4, y + 7) then pre-image (4, 5) would result in image (4 + 4, 5 + 7) = (8, 12).  

He should have used the rule (x - 4, y - 7)


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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 the arc length S what is shown below?
Solnce55 [7]

Answer:

  14 cm

Step-by-step explanation:

The applicable formula is ...

  s = rθ

  s = (7 cm)(2) = 14 cm

3 0
3 years ago
How long would it take the two trains to meet?
tiny-mole [99]

Answer: 2.5 hours.

Step-by-step explanation:

7 0
3 years ago
9. Kara is making copies of articles she needs to for her research paper. The local library charges $0.17 per page, and she has
Dominik [7]
9.35$ Because if you Think in ur brain and you multiply by Benjamin Franklin Then If you do
0.17x 55=9.35$ Cuz Multiply
8 0
2 years ago
Mr. Abraham is 36 years old. His wife is 6 years younger than him and their son is 24 years old younger than his wife. What is t
sesenic [268]
Hi!
We know that Mr. Abraham’s wife is 6 years younger than him, which is 36-6, which means his wife is 30 years old.

We also know that Mr A’s son is 24 years younger than his wife, which is 30-24, which is 6.

As of right now, we now know that:
Mr. A is 36
Mr. A’s wife is 30
Mr. A’s son is 6

It’s asking for the ratio of Him:Wife:Son, so 36:30:6.

BUT, it’s asking for simplest form, so divide each of those numbers by 6.

Your answer is: 6:5:1
8 0
3 years ago
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