Answer:
60
Step-by-step explanation:
12=2⋅2⋅3
15=3⋅5
We see that they both share 3 is their LCM.
We divide each number by their LCM.
123⇒4
153⇒5
We multiply these two quotients and the LCM to get our final answer:
3⋅4⋅5=60
That is our answer!
Hope this helped! :)
Using factorization method;
x²+13x+40=0
x²+13+40
Find two numbers that you can add together to give the co-efficient of variable x. (I.e 13 for this question). Also, you'll find two numbers that you can multiply with each other to give you the whole number as an answer. (I.e 40 in this question). The two numbers must be the same (i.e the two numbers that will be added to give the co-efficient of x and the two numbers that will be multiplied to give the whole number must be the same two).
The two numbers are +5 and +8
The equation will therefore be = x²+5x+8x+40
You'll then factorize (I.e use a common factor of both values to bracket them)
x(x+5)+8(x+5)
(x+8)(x+5)
x is therefore (x+8=0) or (x+5=0)
x=(x=0-8) or (x=0-5)
x= -8 or x= -5
Answer:
Step-by-step explanation:
In general, a solution of a system in two variables is an ordered pair that makes BOTH equations true. In other words, it is where the two graphs intersect, what they have in common. So if an ordered pair is a solution to one equation, but not the other, then it is NOT a solution to the system.
Answer:
96 pi
Step-by-step explanation:
The formula for the volume of a cone is V=pi*r^2*h/3 the radius is 4 and the height is 18 plug in those values into the equation to get V=pi*16*6 16*=96 so the answer is 96 pi.
Since R is the midmoint of QS that means that QR and RS are equal to each other. So first you need to find x. There are many different ways to set up the equation to solve for x, but I'll show you the easiest one:
QR+QS=RT+QR
(2x-4)+(2x-4)=(8x-43)+(2x-4)
Combine like terms:
4x-8=10x-47
Isolate Variable:
4x-8=10x-47
-4x -4x
6x-47=-8
Isolate Constant:
6x-47=-8
+47 +47
6x=39
Divide:
x=6.5
Check Your Answer:
(Plug in 6.5 as x)
(4(6.5)-8)=(8(6.5)-43)+(2(6.5)-4)
18=18
