A and B are positive numbers.A is inversely proportional to B.When A = 4, B = 36.Find the value of A when B = A
1 answer:
Answer:
A = 12
Step-by-step explanation:
Given A is inversely proportional to B then the equation relating them is
A =
To find k use the condition when A = 4, B = 36 , then
4 = ( multiply both sides by 36 )
144 = k
A = ← equation of variation
When B = A , then
A = ( multiply both sides by A )
A² = 144 ( take square root of both sides )
A = ± = ± 12
Since A is a positive number then A = 12
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Answer:
Final graph is attached.
Solution is x=2, y=3
Step-by-step explanation:
As we have to solve by graphing to let's graph y=2x-1 first.
we are free to plug any number for x say x=0 and x=2
when x=0 then y=2x-1 changes to
y=2(0)-1=0-1=-1
Hence point is (0,-1)
Similarly
when x=2 then y=2x-1 changes to
y=2(2)-1=4-1=3
Hence point is (2,3).
Now we graph both points (0,-1) and (2,3) then join them by a straight line.
We repeat exactly same process for other line y=-x+5 and get points (0,5) and (2,3)
Now graph both to see the intersection point of both lines
We see that both lines intersect at point (2,3)
<u>Hence final answer is (2,3) or we can also write x=2, y=3.</u>
