Given:
The given figure is dilated by a scale factor 1.5.
To find:
The coordinates of B' and C'.
Solution:
If a figure is dilated by a scale factor k at point (a,b), so the rule of transformation is

From the given figure it is clear that A(3,-3), B(-2,2) and C(-3,-5).
The figure is dilated by a scale factor 1.5 at point A(3,-3), so the rule of transformation is




Using this rule, we get



And



Therefore, the coordinates of B' and C' are B(-4.5,4.5) and C'(-6,-6).
Seven hours and fourty five minutes
Answer:
A
Step-by-step explanation:
Recall that for a function to be valid, each input value of x must give us one and only one unique output value for y.
in this case we can see that one of the data sets is (3,-1)
which means that an input of 3 gave an output of -1
but we also see that another data set (3,1)
in this case an input of 3 gave an output of 1.
Because the same x input gives 2 different y outputs, this is not a function.
the answer is A
3,628,800 ways can they arrange themselves in the shuttle, If 10 friends are going to occupy 10 seats in shuttle on the way to the airport.
Step-by-step explanation:
The given is,
10 friends are going to occupy 10 seats in shuttle on the way to the airport
Step:1
No. of friends - 10
No.of seats in space shuttle - 10
Formula to calculate the no. of ways to arrange,
............................(1)
Where, n - Positive integer
Step:2
From given, n = 10
Equation (1) becomes,

= 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 3628800
= 3628800 ways
Result:
3,628,800 ways can they arrange themselves in the shuttle, If 10 friends are going to occupy 10 seats in shuttle on the way to the airport.