Answer:
.
Step-by-step explanation:
Let x represent side of kennel opposite to house and y represent other sides.
We have been given that a rectangular dog kennel is to be constructed alongside a house with 60 m of fencing.
Since fencing will cover 3 sides of kennel, so perimeter of kennel would be:


Let us solve for x.


The area of the kennel would be product of its sides that is:

Now, we will substitute
in area equation as:


Let us find the derivative as shown below:

Now, we will set derivative equal to 0 and solve for y.




Upon substituting
in area function, we will greatest possible area.





Therefore, the greatest possible area that can be enclosed by 60 m of fencing is 450 square meters.
The answer to this question is A.cube
Answer:
Slope-intercept form: y=-3x-2
Point-slope form: y+5=-3(x-1)
Step-by-step explanation:
Slope-intercept form is y=mx+b
Point-slope form is y-y1=m(x-x1)
The slope is (7-(-5))/(-3-1)=12/-4=-3
Now we solve for b, aka. the y-intercept:
-5=-3(1)+b
-5=-3+b
-2=b
So the equation in slope intercept form is y=-3x-2
As for point-slope form, it's y+5=-3(x-1)