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
Answer:
B, C , F
Step-by-step explanation:
The age multiplied 55, so the shell grows at rate of 55mm per year
in fact if the age is 2 we have (55 x 2) = 55 + 55
if 3 = (55 x 3) = 55 + 55 + 55
and so on
When the turtle is hatched the shell is 37 mm in lenght.
In fact, if we substitute 0 to a, we have
s = (55 x 0) + 37
s = 37
when the turtle is 1 year old, the shell is 92 mm in length.
in fact if we substitu a with 1, we have
s = (55 x 1) + 37
s = 55 + 37
s = 92
Answer:
B
Step-by-step explanation:
Answer:
its what
does this help
Step-by-step explanation:
Velocity ratios are calculated by dividing the driver gear by the driven gear. The driver gear or pulley is the one connected to the power - e.g. the pedals on a bicycle or the motor. To calculate the speed of the driven gear - multiply the speed of the driver gear by the velocity ratio.
