Answer:
D. All of the above.
Step-by-step explanation: Please brainliest if correct!
The graphs and their equations are:
- Line 1: 6x - 2y = -10
- Line 2: 9x - 9y = -45
- Line 3: 3x - 12y = -60
<h3>How to determine the equations of the graphs</h3>
The three lines are linear equations, because they are all straight lines.
Also, the lines have the same y-intercept (this is so, because they cross the y-axis at the same point), but they have the same slope
Next, we rewrite the equations in slope-intercept form.
So, we have:
Divide through by -12
Make y the subject
Divide through by 2
Make y the subject
Divide through by -9
Make y the subject
Line 1 has the highest slope, while line 3 has the least slope.
So, we have the following equations:
- Line 1: 6x - 2y = -10
- Line 2: 9x - 9y = -45
- Line 3: 3x - 12y = -60
Read more about linear equations at:
brainly.com/question/14323743
This is = 4 therefore no property is applied
Answer:
The surface area of the cuboid is 648 m^2
Step-by-step explanation:
What we have here is cuboidal in outlook
By using the formula for the surface area of a cuboid, we can get the surface area of the shape
mathematically, we have the surface area of a cuboid as follows;
2(lb + lh + bh)
where l is the length, b is the breadth (width) and h is the height
We can have the length as 9 m, the width as 9 m and the height as 13.5 m
Substituting these values, we have the surface area of the cuboid as;
A = 2(9(9) + 9(13.5) + 9(13.5))
A = 2(81 + 243)
A= 2(324)
A = 648 m^2
Steps:
1) determine the domain
2) determine the extreme limits of the function
3) determine critical points (where the derivative is zero)
4) determine the intercepts with the axis
5) do a table
6) put the data on a system of coordinates
7) graph: join the points with the best smooth curve
Solution:
1) domain
The logarithmic function is defined for positive real numbers, then you need to state x - 3 > 0
=> x > 3 <-------- domain
2) extreme limits of the function
Limit log (x - 3) when x → ∞ = ∞
Limit log (x - 3) when x → 3+ = - ∞ => the line x = 3 is a vertical asymptote
3) critical points
dy / dx = 0 => 1 / x - 3 which is never true, so there are not critical points (not relative maxima or minima)
4) determine the intercepts with the axis
x-intercept: y = 0 => log (x - 3) = 0 => x - 3 = 1 => x = 4
y-intercept: The function never intercepts the y-axis because x cannot not be 0.
5) do a table
x y = log (x - 3)
limit x → 3+ - ∞
3.000000001 log (3.000000001 -3) = -9
3.0001 log (3.0001 - 3) = - 4
3.1 log (3.1 - 3) = - 1
4 log (4 - 3) = 0
13 log (13 - 3) = 1
103 log (103 - 3) = 10
lim x → ∞ ∞
Now, with all that information you can graph the function: put the data on the coordinate system and join the points with a smooth curve.
