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:
x
=
58
5
Step-by-step explanation:
10 times:
→
10
×
The sum of:
→
10
×
(
?
+
?
)
half a number:
→
10
×
(
x
2
+
?
)
and 6:
→
10
×
(
x
2
+
6
)
is 8 :
→
10
×
(
x
2
+
6
)
=
8
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
10
(
x
2
+
6
)
=
8
Multiply out the bracket
5
x
+
60
=
8
Subtract 60 from both sides
5
x
=
58
Divide both sides by 5
x
=
58
5
First you multiply 3 by 2.5 by 5 which should give you 37.5. For the other one you do the same but you multiply 4 by 3.5 by 4.5, it would be 63.So the second one has more volume
Answer:
if he is the to form a 666
Step-by-step explanation:
what
I
I
I
want to
be
a
story
about
I
2
2
Answer:
134 degrees.
Step-by-step explanation:
This is a simple one.
The arc RS subtends an angle of 67 degrees on the circumference,
So the measure of the arc RS is 2 * 67 = 134 degrees.
