Step-by-step explanation:
Given that the perimeter of the rectangle is = 36 yards
For a rectangle perimeter =
L+L+B+B =
2L+2B =36
Factoring 2 out we have
2(L+B)= 36
L+B= 36/2
L+B=18
we know that the area of a rectangle is given as
A= L*B
The maximum area is gotten when
L=B
And when B*B= 36
B*B=36
B^2=36
B=√36
B=6 yards
Substituting B= yards in the expression for perimeter we have
To find L
L +B=18
L+6=18
L=18-6
L= 12
Hence the largest area is
A= 12*6= 72 yard^2
Answer:
y < -2x - 4
Step-by-step explanation:
This is a guessing game. You just have to plug and chugg to find your answer.
Look at the table they gave you and plug in the x and y value into the given equations and see if they're true or not.
For example, I used the point x=-2 and y=1 from the table.
I plug that into y < -2x - 4 and got a false statement:
y < -2x - 4
(1) < -2(-2) - 4
1 < 4 - 4
1 < 0
this is false because one cannot be less than zero. Therefore this equation is the wrong one.
If you tried to plug in x=-2 and y=1 into the other 3 equations you'll see that they'll be correct.
Answer:
x+5 is the factor..
Step-by-step explanation:
xsquare + (8+5)x + 40
or, xsquare +8x+5x+40
or, x(x+8)+5(x+8)
(x+5)(x+8)
Answer:
The maximum rate of change of f at (0, 9) is 72 and the direction of the vector is
Step-by-step explanation:
Given that:
F(x,y) = 8 sin (xy) at (0,9)
The maximum rate of change f(x,y) occurs in the direction of gradient of f which can be estimated as follows;
We can conclude that the maximum rate of change of f at (0, 9) is 72 and the direction of the vector is
The fraction is 7/10ths. Which would be 17.5 out of the 25. :)