Answer:
(5,4) is the solution
Step-by-step explanation:
2x + y = 14 --> y = -2x + 14
Substitute y = -2x + 14 into 3x - 2y = 7
3x - 2( -2x + 14) = 7
3x + 4x - 28 = 7
7x = 35
x = 5
y = -2(5) + 14
y = -10 + 14
y = 4
Answer (5 , 4)
from the diagram, we can see that the height or line perpendicular to the parallel sides is 8.5.
likewise we can see that the parallel sides or "bases" are 24.3 and 9.7, so
![\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=8.5\\ a=24.3\\ b=9.7 \end{cases}\implies \begin{array}{llll} A=\cfrac{8.5(24.3+9.7)}{2}\\\\ A=\cfrac{8.5(34)}{2}\implies A=144.5~in^2 \end{array}](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20trapezoid%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7Bh%28a%2Bb%29%7D%7B2%7D~~%20%5Cbegin%7Bcases%7D%20h%3Dheight%5C%5C%20a%2Cb%3D%5Cstackrel%7Bparallel~sides%7D%7Bbases%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20h%3D8.5%5C%5C%20a%3D24.3%5C%5C%20b%3D9.7%20%5Cend%7Bcases%7D%5Cimplies%20%5Cbegin%7Barray%7D%7Bllll%7D%20A%3D%5Ccfrac%7B8.5%2824.3%2B9.7%29%7D%7B2%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7B8.5%2834%29%7D%7B2%7D%5Cimplies%20A%3D144.5~in%5E2%20%5Cend%7Barray%7D)
If
then
The ODE in terms of these series is
We can solve the recurrence exactly by substitution:
So the ODE has solution
which you may recognize as the power series of the exponential function. Then
B. 3. Because if you have two people rolling a six sided die, with odd and even number contributions, you would divide 6 by 2. This is because there are TWO people going for TWO different types of numbers, odd and even. 6/2 gives us 3.
Hope this helps :)
Answer:
see below
Step-by-step explanation:
5/10 divide ?/?= 1/2
5/10 divide by 5/5 = 1/2
2. 12/15 divide ?/? = 4/5
12/15 divide by 3/3 = 4/5
3. 10/12divide ?/? = 5/6
10/12 divide by 2/2 = 5/6
4. 14/18 divide ?/? = 7/9
14/18 divide by 2/2 = 7/9
