A rectangle is a 4-sided flat shape with straight lines where all interior angles are rights angles (90°)
Z=-4. z+6/3=2(z/4); cancel out the 2 on the right side[2/1*z/4---2z/4---z/2]. z+6/3=z/2; cancel out the denominator of 2 on the right side[z/2*2=z \\\ 2(z+6/3)=2z+12/3=2z+4]~~I know its alot, huh? Sry...~~ z=2z+4; subtract both sides by 2z[-z=4; divide by -1; z=-4] I hope that helped.
The first answer is a and the second answer is d
Answer: Hence Pair( x, y) = [ 105/2, 105/2]
Step-by-step explanation:
Given that;
Among all pairs of numbers with a sum of 105;
the pair whose product is maximum = ?
so let pairs of numbers with a sum of 105 be x and y respectively
x + y = 105
let y = 105 - x
now
product = xy = x( 105 - x ) = 105x - x²
now
p(x) = 105x - x²
for maximum value of p
dp/dx =0
⇒ dp/dx = 105 - 2x = 0
2x = 105
x = 105/2
y + x = 105
y = 105 - x
y = 105 - 105/2 = 105/2
Hence Pair( x, y) = [ 105/2, 105/2]
