V(barn) = 25×43×87 + 2×43:2×87
= 93525 + 3741
= 97266 ft³
Answer:
x = 4.
Step-by-step explanation:
We see that it passes through the x axis at the point (4, 0) so x = 4 is a solution.
Check by solving the equation
x^2 - 4x + 13 = 13
Subtract 13 from both sides:
x^2 - 4x = 0
x(x - 4) = 0
x = 0 or x - 4 = 0, so:
x = 0 or 4.
Answer:
x = -7
Step-by-step explanation:
Two parallel lines are lines that never intersect each other.
The y-axis can be written as x = 0.
Then if we want a parallel line to this one, it must be something like x = b
such that b ≠ 0.
Now we want that the distance between our line and the line x = 0 is 7 units to the left
(remember that the left is the negatie side of the axis)
then we can write:
b - 0 = -7
b = -7
The parallel line is x = -7
Given:
The expression is:
To find:
The factor of the given expression by GCF.
Solution:
It is given that,
The terms of the given expression are 
. The greatest common factor of these terms is 3.
So, taking out the GCF, the given expression can be rewritten as:
Therefore, the factor form of the given expression by GCF is 
.
(a) 
(b) 
(c) 
Solution:
To write each of the given expression in the form 
:
(a) 
Using exponential rule: 
(b) 
Divide numerator and denominator by the common factor 2, we get
Using exponential rule:
(c) 
Divide numerator and denominator by the common factor 7, we get
Using exponential rule:
