The formula to find the area of a rectangle is A = l*w
The solution of two equations/lines is their intersect point.
Therefore, there can only be one intersection point/solution, because these lines are neither parallel or identical.
In the graph you can see that they intersect at (x,y)=(2,3) which is your solution and option b or d as one of them seems to be mistyped :)
@question2
y=kx+b
both your equations share the same k=-2:
y=-2x+3
y=-2x-1
therefore these lines are parallel and don't have any intersection as they are always at different y values (the b)
against wind the speed = x-y
distance traveled = 2460
2460/x-y= 6
6x-6y= 2460
x-y=410...........1
..
with wind speed = x+y
distance is same 2460
2460/x+y=5
5x+5y=2460
x+y=492............2
..
Add equation 1 & 2
x-y+x+y=410+492
2x=902
x= 451 mph speed of plane in still air.
..
Plug the value of x in equation 1
451-y=410
y=451-410
y=40 mph the speed of wind
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Your feed back about the solution is very important in improvement.
X=-20
-20+18=2
The number that is bigger is negative so therefore the answer would be negative
Answer: the amount of dimes is $1.15 this is also equivalent to 11 dimes and an extra nickel.
Explanation:
80 nickels =$4.00
$5.15-$4.00= $1.15
11 dimes= $1.10
1 nickel= $0.05
$1.10+$0.05= $1.15
hope this helps! :)
