Y - x = 154
let z = xy = x(154 + x) = x^2 + 154x

we need to find the minimum value of z

z' = 2x + 154 which = zero for minm or maxm value

x = -77 and y = 154 -77 = 77

so the 2 numbers are -77 and 77

7 0

2 years ago

Which is equivalent to 64 to the 1/4 power

Sladkaya [172]

Answer:

The answer to your question is the first option

Step-by-step explanation:

64 $^{1/4}$

Process

1.- Find the prime factors of 64

64 2

32 2

16 2

8 2

4 2

2 2

64 = 2⁶

2.- Express 64 as a fractional exponent

64 $^{1/4} = 2^{6/4}$

3.- Simplify

64 $^{1/4} = 2^{4/4} 2^{2/4}$

64 $^{1/4} = 2^{1} 2^{2/4}$

64 $^{1/4} = 2\sqrt[4]{2^{2}}$

4.- Result

64 $^{1/4} = 2\sqrt[4]{4}$

5 0

2 years ago

Find the midpoint of the line segment shown below.

balu736 [363]

Answer:

x²-6x+y²-4y=-4

Step-by-step explanation:

We know the circle equation stands like this:

(x-a)² + (y-b)² = R²

and (a,b) is center

and R stands for Radius

so in this case:

center = (3,2)

R = 3

(x-3)² + (y-2)² = 9

x²-6x+9 + y²-4y+4=9

x²-6x+y²-4y=-4

7 0

2 years ago