Without drawing the graphs, find the points of intersection of the lines: a 7x+4y=23 and 8x–10y=19
1 answer:
Answer:
(3,0.5)
Step-by-step explanation:
The given system has equations:
Let us multiply the second equation by 4 and the first equation by 10.
We add both new equations to get:
Put x=3 into the first equation and solve for y.
The point of intersection is the solution to the system of equation which is (3,0.5)
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Answer:
The solar panel produce 6.48 × 10⁶ J of energy each day.
Step-by-step explanation:
If the solar cells were 100% efficient and generate 1000 watts of power per square meter
The power generated per square meter will be
= 1000 watts/m²
This is the power that would be generated per square meter if the solar cells were 100% efficient.
Now, for a 1 square meter panel of solar cells with an efficiency of 30%, the power generated will be
= 300 watts
This is the power that would be generated by a 1 square meter panel of solar cells with an efficiency of 30%
Now, to determine the energy in joules (J) that the solar panel produce each day
We can determine the energy from the formula
Energy = Power × time
From the question, the solar cells receives the equivalent of 6 hours of direct sunlight per day, that is
Time = (6 × 60 × 60) secs = 21600 secs
Hence,
Energy = 300 watts × 21600 secs
Energy = 6480000 Joules
Energy = 6.48 × 10⁶ J