Answer:
Clearly from 1 to 15 we can only have the sum 6,9,12 and 15 to be divisible by 3.
Now meaning we have 4! ( 4 factorial) which implies 4x3x2x1= 24 .
We have 24 ways to pick distinct integers that are divisible by 3.
Step-by-step explanation:
The first thing you need to do is to look for numbers that are divisible by 3. Then you take its factorial
Answer:
shortest side= x
longest side= x+8
other side= 3x
x+x+8+3x= 33
5x+8=33
5x= 25
x= 5
shortest side= x= 5
longest side= x+8= 5+8= 13
other side= 3x= 3(5)=15
Step-by-step explanation:
If the endpoints of a diameter are (6,3) and (2,1) the midpoint is the center of the circle so:
(x,y)=((6+2)/2, (3+1)/2)=(4,2)
Now we need to find the radius....the diameter is:
d^2=(6-2)^2+(3-1)^2
d^2=16+4
d^2=20 since d=2r, r=d/2, and r^2=d^2/4 so
r^2=5
The standard form of the circle is (x-h)^2+(y-k)^2=r^2 and we know:
(h,k)=(4,2) from earlier so:
(x-4)^2+(y-2)^2=5
4(2 - x) > -2x - 3(4x + 1)
8 - 4x > -2x - 12x - 3
-4x + 2x + 12x > -3 - 8
10x > -11
x > -11/10
x > -1.1
Therefore, x = 0 and x = 10 zre solutions to the inequality.
I'm pretty sure that you answered it correctly. 10-U
