Answer:
y = (3/4)x
Step-by-step explanation:
1) Find the slope of the line. As we go from ( -8,-6) to (12,9), x increases by 20 and y increases by 15. Thus, the slope, m, is m = rise / run = 15/20 = 3/4
2) Recognize that the y-intercept is zero (0) because this is direct variation; the line goes thru the origin.
3) write the equation of the line: y = mx + b becomes y = (3/4)x
Perimeter of figure= Perimeter of parallelogram(-one side) + Perimeter of semicircle
= 28 inches + 12.5 inches
= 40.5 inches
Answer:
1/18
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
Multiples of 3 between 1 - 9 = 3,6,9
Probability of picking a multiple of 9 = total multiples of 9 in the bag / total tiles in the bag
3/9
To transform to the simplest form. divide both the numerator and the denominator by 3
1/3
After picking the multiples of 3, the tiles are not replaced, tiles in the bag would now be 6
Probability of picking 5 = 1/6
1/6 x 1/3 = 1/18
Divide each term in the bracket by 4:
=
3
x
−
2
Explanation:
Multiplying by
1
4
is the same as dividing by 4. - You are finding a quarter of something.
To find a quarter of the bracket, divide each coefficient by 4.
You will get two unlike terms so you will not be able to simplify them.
This is the reason why you cannot simplify inside the original bracket either.
Step-by-step explanation:
The sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r)
The sequence rule for a geometric sequence is:
a(n)=ar^(n-1)
Not sure what they mean by "graph the six terms"
The sum of the first six terms is in this case:
s(6)=5(1-1.25^6)/(1-1.25)
s(6)=56.2939453125
The first six terms in sequence is in this case:
a(n)=5(1.25)^(n-1) so
5, 6.25, 7.8125, 9.765625, 12.20703125, 15.2587890625
