1 answer:
The length of A"B" is 20 units
<h3>How to determine the length of A'B'?</h3>From the figure, we have:
A = (1, 4)
B = (4, 8)
The distance AB is:
So, we have:
Evaluate
This gives
AB = 5
The scale factor of dilation is 4.
So, we have:
A'B' = 5 * 4
Evaluate
A'B' = 20
Hence, the length of A"B" is 20 units
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The expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
<h3>How to find the factors of a quadratic expression?</h3>If the given quadratic expression is of the form
then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:
Then writing b in terms of alpha and beta would help us getting common factors out.
Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.
For this case, we're provided the expression:
We can write 10 as multiple of -5 and -2 and
we can write -7 as sum of -5 and -2. Thus, we get:
Thus, the expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
Learn more about factorization of quadratic expression here:
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
MaReeco's rewrote equation is given by
As MaReeco subtracted 3 to the right side of the equation, which imbalanced the equation. Hence, it is not correct.
Correction:
For the next step, MaReeco should have added 3 to both sides
i.e.
Therefore, the acceptable move would have been: