Y=-5x+9
3x+2(-5x+9)=4
3x-10x+18=4
-7x=4-18
-7x=-14
x=2
5(2)+y=9
10+y=9
y=9-10
y=-1
The answer is (2,-1) :)
Answer:
Step-by-step explanation:
Part A
This is a combination problem. Order does not matter.
36C6
36!/(30! 6!)
36 * 35 * 34 * 33 * 32 * 31/ 6!
1402410240/6!
1947792
Part B
1 / (36C6)
0.000000513 or
0.0000005
Answer:
B. The area of the base of the pyramid, B, is 24 centimeters squared.
C. A rectangular prism with the dimensions of 9 centimeters by 4 centimeters by 6 centimeters will have 3 times volume of this pyramid.
Step-by-step explanation:
Given a rectangular pyramid with:
Height=9 cm
Base Dimensions = 4 centimeters by 6 centimeters
Base Area B=4 X 6 =24 Square cm.
Therefore, Option B (The area of the base of the pyramid, B, is 24 centimeters squared) is correct.
Volume of a pyramid =
Volume of a Prism with the dimensions of 9 centimeters by 4 centimeters by 6 centimeters
=Base Area X Height
=24 X 9
Now, 216/72=3
Therefore, A rectangular prism with the same dimensions will have 3 times volume of this pyramid
Therefore, <u>Option C is correct.</u>