The red marble is farthest from the target.
A
B
C
E
F
G
(It’s basically just a game of making pairs)
Answer: The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8
Step-by-step explanation:
- in order to know if the the point is on the line plug in the x coordinate to check if it gives you the y coordinate as an output.
- If you plug in the x coordinate and it gives you the given y coordinate then the point is on the given line
- Now let us plug in the value of x=-3
- now if you check plugging in the given x coordinate it does not give you the given y coordinate but -2
- therefore the point(-3,7) is not in the line but (-3,-2) is the point in the line.
