Answer:
Yes
Step-by-step explanation:
Yes,the area is the space inside a shape. If we change the borders of the shape, in space in the interior will change.
See explanation below.
Explanation:
The 'difference between roots and factors of an equation' is not a straightforward question. Let's define both to establish the link between the two..
Assume we have some function of a single variable
x
;
we'll call this
f
(
x
)
Then we can form an equation:
f
(
x
)
=
0
Then the "roots" of this equation are all the values of
x
that satisfy that equation. Remember that these values may be real and/or imaginary.
Now, up to this point we have not assumed anything about
f
x
)
. To consider factors, we now need to assume that
f
(
x
)
=
g
(
x
)
⋅
h
(
x
)
.
That is that
f
(
x
)
factorises into some functions
g
(
x
)
×
h
(
x
)
If we recall our equation:
f
(
x
)
=
0
Then we can now say that either
g
(
x
)
=
0
or
h
(
x
)
=
0
.. and thus show the link between the roots and factors of an equation.
[NB: A simple example of these general principles would be where
f
(
x
)
is a quadratic function that factorises into two linear factors.
Answer:
Step-by-step explanation:
Given
See comment for missing part of the question
Required
Complete the expression to determine the dimension of a rectangle
We have:
Open bracket
Equate to 0
Expand
Factorize
Factor out x + 2
Solve for x
or
or
The value of x cannot be negative
So:
Recall that:
So:
---- i.e. 5 - 3
Replace x with y and solve for y~
y=2*
x=2^y
log x = y log 2
y=log x / log 2
Hope this helps and leave a brainliest to help me reach expert ;)
Answer:
Because this spread will add up to zero
Step-by-step explanation:
Mean defines the center of the data. Some values are below this center and some values are above this center.
For the values which are below the center (i.e. less than the mean), when mean is subtracted from these values, this results in negative numbers.
For the values which are above the center(i.e. greater than the mean), when mean is subtracted from these values, this results in positive numbers.
When these negative and positive numbers are summed together, as it is, they cancel out each other, leaving an answer equal to zero, which would be meaningless. As a spread of 0 would mean all data values are the same, when infact they aren't.
To avoid this, the difference of mean from the data value is squared, so that we can get all positive values, and then these values are added up together to calculate the spread of the data.
Conclusion:
The average of deviations of individual data from the mean will result in answer equal to zero, as a result they are squared first before finding the average.