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:
All A. B. C. D.
Step-by-step explanation:
A. ratio of areas = 2^2 /5^2 = 4/25
B 14^2 : 1 = 196:1
C. ratio of perimeters would be sqrt81 = 9 times
Answer:
for the third one 2/5 for the fourth one 3/5
Step-by-step explanation:
For the first one, I put 10/25 as a fraction and found the least common multiple, which is 5. I then simplified, and got 2/5.
For the second one, I chose 3/5 because there are 3 friends whose names end in a, and 5 friends whose names do not end in a. My theory was that I took the friends and divided them into 2 groups by most common.
hope this helps if it doesn't I will correct myself :)
Answer:
The answer to this question is: 12.96 ft ≈ 13 ft
Step-by-step explanation:
Data
Area 168 ft²
Length = ?
Volumen = 0.42 gallons
But we do not need the volume of paint because we know that the wall is squared-shape.
Only we need to know the formula to obtain the area of an square.
Formula area = length²
So 168 = length²
Finally √168 = length
length = 12.96 ≈ 13 ft
