Answer:
Step-by-step explanation:
The formula for the volume (V) of a sphere is:
V = ⁴/₃πr³
We can use this equation to calculate the radius (r).
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
First thing, you need to transform this equation to the form of y = ax + b
So you get:
2x + 5y = 8
5y = -2x + 8
In the form of y = ax + b, a is the slope.
In
, you can see "
", and always the number before x is the slope
So, the slope of 2x + 5y = 8 is
Hope this Helps :)
<em>To write in standard form, we have to move the decimal point in </em>
<em>3.42</em>
<em> over 3 places to the left since our exponent is 10 3 </em>
<em>This gives us our answer of </em>
<em>0.00342</em>
<em>Hope this helps.</em>
Answer:
2n+13
Step-by-step explanation:
