Answer:
n = (123 - 3a) / 0.1
Step-by-step explanation:
Given:
3a + 0.1n = 123
Solve for n
3a + 0.1n = 123
Subtract 3a from both sides
3a + 0.1n - 3a = 123 - 3a
0.1n = 123 - 3a
Divide both sides by 0.1
n = (123 - 3a) / 0.1
The resulting equation if 3a + 0.1n = 123 is solved for n is n = (123 - 3a) / 0.1
Answer:
The answer is 5.8 times a second
Step-by-step explanation:
Divide 1044 by 180 (The number of seconds in 3 minutes)
Answer:5(5x-1)
Step-by-step explanation: for a product the equation above
25x-5
Since 5 is divisible by 25
25/5=5
5/5=1
5(5x-1)
Answer: Angle bisectors
Step-by-step explanation:
The incenter is the point forming the origin of a circle inscribed inside the triangle. Like the centroid, the incenter is always inside the triangle. It is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle.
Let
be the smaller integer. The larger integer is then
, and we have
![(2n+1)^2=10+(2n+3)\implies4n^2+4n+1=2n+13](https://tex.z-dn.net/?f=%282n%2B1%29%5E2%3D10%2B%282n%2B3%29%5Cimplies4n%5E2%2B4n%2B1%3D2n%2B13)
![\implies4n^2+2n-12=0](https://tex.z-dn.net/?f=%5Cimplies4n%5E2%2B2n-12%3D0)
![\implies2n^2+n-6=0](https://tex.z-dn.net/?f=%5Cimplies2n%5E2%2Bn-6%3D0)
![\implies(2n-3)(n+2)=0](https://tex.z-dn.net/?f=%5Cimplies%282n-3%29%28n%2B2%29%3D0)
![\implies 2n-3=0\text{ or }n+2=0](https://tex.z-dn.net/?f=%5Cimplies%202n-3%3D0%5Ctext%7B%20or%20%7Dn%2B2%3D0)
![\implies n=\dfrac32\text{ or }n=-2](https://tex.z-dn.net/?f=%5Cimplies%20n%3D%5Cdfrac32%5Ctext%7B%20or%20%7Dn%3D-2)
We omit
, since
is negative.
Then for
we find
, but this is not odd.
There are no consecutive odd integers that satisfy the given condition!