Total sq units of dotted rectangle = 3*5=15sq units
Shaded area= 15-(3*4*1/2+2*5*1/2)
=15-(6+5)
= 15-11
= 4 sq units
For 12:
Since the line y = mx + c is a tangent, then the distance from the centre of the circle to the line is equal to the radius.
Using perpendicular distance:
Squaring both sides, we get:
, as required.
R(x) = 60x - 0.2x^2
The revenue is maximum when the derivative of R(x) = 0.
dR(x)/dx = 60 - 0.4x = 0
0.4x = 60
x = 60/0.4 = 150
Therefore, maximum revenue is 60(150) - 0.2(150)^2 = 9000 - 4500 = $4,500
Maximum revenue is $4,500 and the number of units is 150 units
Answer: 24 inches ... The perimeter is the distance around the outer edge. ... 24 square inches is the area. This is because you multiply
Standard form
ok, so the factored form of a polynomial with roots r1,r2,r3,r4 is
f(x)=(x-r1)(x-r2)(x-r3)(x-r4)
so
since the roots are 0,1,-2i,3+√3
I am assuming you want real coefients so ince -2i is a root, 2i is also a root
f(x)=(x-0)(x-1)(x+2i)(x-2i)(x-(3+√3))
f(x)=x⁵-(√3)x⁴-4x⁴+(√3)x³+7x³-(4√3)x²-16x²+12x
if you were allowed to have no-real coefients then exclue the 2i
f(x)=(x-0)(x-1)(x+2i)(x-(3+√3))
f(x)=