The solution is x=1 and y=-2
Further explanation:
Given equations are:

Multiplying equation no. 1 with 2 will give us:
Eqn 3
From equation no 2:

Putting the value of y in eqn 3

The solution is x=1 and y=-2
Keywords: Linear equations, Solution set
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Answer:
Step-by-step explanation:
a) Denote the event of commercially availability of f_uel cell technology as F_, commercial availability of solar power technology as S
Write the probability of energy supplied by these energy sources in the next 10 years
P(energy supplied) = P(S ∪ F) -----(1)
Rewrite eqn (1)
P(energy supplied) = P(S) + P(F) - P(F) P(S) ----(2)
substitute 0.85 for P(S) and 0,7 for P(F) in eqn (2) to find the probability of energy supplied by these energy sources
P(energy supplied) = 0.85 + 0.7 - (0.7 * 0.85)
= 0.85 + 0.7 - (0.595)
= 1.55 - 0.595
= 0.955
Therefore, the probability that there will be energy supplied by these two alternative sources in the next 10 years is 0.955
B) write the probability of only one source of energy available
P(only one source of energy available) =
∪
---(3)
Rewrite the equation (3)
P(only one source of energy available) =
![=P(\bar F S)+P(\bar S F)\\\\=\{[1-P(F)]P(S)+[1-P(S)]P(F)\}---(4)](https://tex.z-dn.net/?f=%3DP%28%5Cbar%20F%20S%29%2BP%28%5Cbar%20S%20F%29%5C%5C%5C%5C%3D%5C%7B%5B1-P%28F%29%5DP%28S%29%2B%5B1-P%28S%29%5DP%28F%29%5C%7D---%284%29)
![=\{[1-0.7]0.85+[1-0.85]0.7\}\\\\=0.255+0.105\\\\=0.36](https://tex.z-dn.net/?f=%3D%5C%7B%5B1-0.7%5D0.85%2B%5B1-0.85%5D0.7%5C%7D%5C%5C%5C%5C%3D0.255%2B0.105%5C%5C%5C%5C%3D0.36)
Therefore,The probability that only one of the two alternative energy sources will be commercially viable in the next 10 years is 0.36
Since in A and B we have the same y value, 2-(-5)=7 and that's one side. For A to C (we connect A to C since they are both the ones on the left), we use the distance formula to get sqrt((-5-1)^2+(6-(-2))^2=sqrt(36+64)=sqrt(100)=10. Since there are 2 equal pairs of sides in a parallelogram, we get 7*2+10*2=34
Answer:
2.5
Step-by-step explanation:
50 x $0.05 = 2.5
Square's are equal on all sides so if one leg of the square is eight then the others are also and in order to find the area of a square you multiply the height by the width so 8^2 or eight squared is the expression. Your answer is the area is 64 ft^2 and the expression is : 8^2=64