Among all pairs of numbers with a sum of 105 , find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms.

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]

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.

yess

step-by-step explanation:

idk whyy this is happening, i cant even read my notification bc i keep getting errors

~coco