Answer:
(x, y) = (8, -3)
Step-by-step explanation:
You can substitute for x in the first equation:
3(-3y -1) +3y = 15
-6y = 18 . . . . . add 3 and simplify
y = -3 . . . . . . . divide by -6
x = -3(-3) -1 = 8 . . . . find x using the second equation
The solution to this system of equations is (x, y) = (8, -3).
Answer:
-√2
Step-by-step explanation:
For the typing purpose I replaced θ with n in the calculation

Answer:
Your Winnings are $ -1
Step-by-step explanation:
Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.
Since we are not told what two balls were actually drawn, then the expected winnings would be of the greatest probability occurring. To figure this out we need to calculate the probability of getting two red balls consecutively and the probability of getting two different colors consecutively. Since there are a total of 10 balls the probabilities of getting one ball would be the following,
Red: 
Green: 
Now we need to know the probability of us getting 2 reds together, two greens, or one of each.
2 Reds: 
2 Greens: 
1 Each: 
So we can see that the highest probability is getting 2 Greens in a row. Meaning you would have to pay $1
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Given:
P: (2,0,5)
L: (0,6,4)+t(7,-1,5)
and required plane, Π , passes through P and perpendicular to L.
The direction vector of L is V=<7,-1,5>.
For Π to be perpendicular to V, Π has V as the normal vector.
The equation of a plane with normal vector <7,-1,5> passing through a given point P(xp,yp,zp) is
7(x-xp)-1(y-yp)+5(z-zp)=0
Thus the equation of plane Π passing through P(2,0,5) is
7(x-2)-y+5(z-5)=0
or alternatively,
7x-y+5z = 14+25
7x-y+5z = 39
6/21=28,6%
Step-by-step explanation:
ok al principio del problema nos dice que hay 21 resultados posibles y 6 de ellos pertenecen al suceso lo cual son dos numeros pares por lo si unimos 6/21 que ya explique porque el resultado seria de 28,6%