Answer:
Ok, we know that we can write a horizontal translation as:
y' = f(x - A)
where if A is positive, this moves the graph of f(x) A units to the right.
Why is this?
Ok, let's compare:
y = f(x)
and
y' = f(x - A)
in y, when x = 0 we have f(0).
While to have this same point in y', we need to evaluate in x = A.
f(A - A) = f(0).
Then the value f(0) is now at x = A, this means that the point moved A units to the right.
And you can do this for all the values, so you will find that the entire graph of f(x) has ben moved A units to the right.
Answer:
The answer is 8.
Step-by-step explanation:
The scale factor between the figures is 2/3, this means that the ratio of the smaller figure to the larger figure is 2/3:
.
So when a side of the the larger figure is 12 then:
Therefore
.
Thus the length of the corresponding smaller side is 8.
Answer: 90
90 is a composite number because:
4 x 15 = 90
10 x 9 = 90
A composite number has more than two factors.
Hope this helps!
Answer:
It's app. 50.24
Step-by-step explanation:
The area of a circle is A = pi * r ^2
So the area is
= pi * 16
in the question it says to use 3.14 for pi instead
so multiply 16 * 3.14 = 50.24
