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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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4 0
3 years ago
Find the values of a and b such that
Varvara68 [4.7K]

Answer:

a = 1.5

b = 1.75

Step-by-step explanation:

First, we need to solve (x+a)^2 and replace the result in the initial equation as:

x^2+3x+4=(x+a)^2+b\\x^2+3x+4=x^2+2ax+a^2+b

Then, this equality apply only if the coefficient of x is equal in both sides and the constant is equal in both sides.

It means that we have two equations:

3x=2ax\\4=a^2+b

So, using the first equation and solving for a, we get:

3x=2ax\\3=2a\\a=\frac{3}{2}=1.5

Finally, replacing the value of a in the second equation and solving for b, we get:

4=a^2+b\\4=1.5^2+b\\b=4-1.5^2\\b=4-2.25\\b=1.75

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3 years ago
Aria invested $96,000 in an account paying an interest rate of 1.8% compounded
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Answer:

9.2

Step-by-step explanation:

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