AD is perpendicular to BC so slope Ad = -1/slope of BC
Slope of BC = (2 - (-1)) / (- 6- 3) = 3 / -9 = -1/3
So slope of AD = -1 / (-1/3) = -3/-1 = 3 Answer
Answer:
A(max) = (9/2)*L² ft²
Dimensions:
x = 3*L feet
y = (3/2)*L ft
Step-by-step explanation:
Let call "x" and " y " sides of the rectangle. The side x is parallel to the wall of the house then
Area of the rectangle is
A(r) = x*y
And total length of fence available is 6*L f , and we will use the wall as one x side then, perimeter of the rectangle which is 2x + 2y becomes x + 2*y
Then
6*L = x + 2* y ⇒ y = ( 6*L - x ) /2
And the area as function of x is
A(x) = x* ( 6*L - x )/2
A(x) = ( 6*L*x - x² ) /2
Taking derivatives on both sides of the equation we get:
A´(x) = 1/2 ( 6*L - 2*x )
A´(x) = 0 ⇒ 1/2( 6*L - 2*x ) = 0
6*L - 2*x = 0
-2*x = - 6*L
x = 3*L feet
And
y = ( 6*L - x ) /2 ⇒ y = ( 6*L - 3*L )/ 2
y = ( 3/2)*L feet
And area maximum is:
A(max) = 3*L * 3/2*L
A(max) = (9/2)*L² f²
Answer:
I think 3x doesn't belong because it is the only positive number.
I think -5x doesn't belong because it is the only one without a 3.
I think -3 doesn't belong because it is the only one without an x.
I think -3x² doesn't belong because it is the only one with an exponent.
Step-by-step explanation:
Just use one of the ones above!
(hope this helps!)
Step-by-step explanation:
they are definitely rational numbers
Hello
(n-2)*180 where n is the number if angles in a polygon
(38-2)*180
=36*180=6480
(29-2)*180=4860
1 angle -> 4860/29 = 167.58
You do the same here
(1026-2)*180=184,320
184,320/1026=179.64
They're complementary so 180-179.64=0.36°
(36-2)*180=6120
6120/36=174.85
180-175.85=5.15°