Answer:
36
Step-by-step explanation:
Given that:
2 standard six sided dice are rolled :
Die 1 = 1, 2, 3, 4, 5, 6
Die 2 = 1, 2, 3, 4, 5, 6
Outcome = ordered pair of Number on the two dice
Event = different sum of the ordered pair of numbers.
The number of outcomes in the experiment = the sample space =) number of Faces)^number of dies
= 6^2
= 36 different outcomes
Answer:
both rates of change equal the slope of the line (3/4)
Step-by-step explanation:
Part a)
We calculate the rate of change using the formula:

for the first interval [0,6], we calculate the y-values at x=0 and x=6;
at x=0 : 
at x=6 : 
therefore, the rate of change in this interval is: 
For the second interval [-4,4], we calculate the y-values at x=-4 and x=4;
at x=-4 : 
at x=4 : 
therefore, the rate of change in this interval is: 
Part b):
Notice that both rates of change equal the value of the slope of the linear function (3/2)
Answer:
No, the triangles are not similar
Step-by-step explanation:
The (reduced) side length ratios, shortest to longest, are ...
12 : 18 : 20 = 6 : 9 : 10
and
5 : 12 : 13
These are not the same, so the triangles are not similar.
Answer:
-0.2
Step-by-step explanation:
5.2 + 6.3 = 11.5
11.5 - 12 / 2.5
-0.5 / 2.5
= -0.2
Answer:

In this special case we know that
and
and for this case we can add all the values 12+18 +12+18=60 and that represent the perimeter
Step-by-step explanation:
For this case we know that the perimeter is given by:

In this special case we know that
and
and for this case we can add all the values 12+18 +12+18=60 and that represent the perimeter