Answer:
The dilation scale factor is .
Step-by-step explanation:
The image is the dilated form of its preimage if and only if the following conditions are observed:
1)
2)
3)
4)
5)
If we know that ,
,
,
,
,
,
and
, then the coefficients are, respectively:
,
,
,
As , we conclude that the dilation scale factor applied in the preimage is equal to
.
Answer:
Step-by-step explanation:
We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.
Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)
Denominator (factoring by grouping):
x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)
Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:
x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)
Answer:
85.95 km
Step-by-step explanation:
Given that,
Alberto ran 45 kilometers on Monday.
On Tuesday, he runs 91% of the distance he ran on Monday.
We need to find how far did he run on Tuesday. It can be given by :
So, he run 85.95 km on Tuesday.
