Hello :
<span>the numbers are : x , y
x - y = 4...1)
xy = 96...(2)
by (1) : x = y +4...(*)
subsct in (2) : (y+4) y = 96
y² +4y -96 = 0
(y² +2(2y) +2²) -2² -96 = 0
(y+2)² -100 =0
</span>(y+2)² <span>= 10²
y +2 = 10 or y+2 = -10
y = 8 or y = -12 ( refused : x is positif)
y = 8
</span>subsct in (*) : x = 8+4 = 12
<span> the numbers are : 12 and 8
12-8 = 4 and 12×8 = 96</span>
Thirteen thousand four hundred six
Answer: 20
<u>Step-by-step explanation:</u>
- Step 1: Find the vertices (intersections) of the constraints by either graphing or solving the system of equations. I graphed them and found two of the vertices: (0, 1) and (4,0) but needed to solve the system to find the third vertex (point of intersection).
-x + 3 = + 1
<u>+x -1 </u> <u> +x -1 </u>
2 =
(3)2 =
6 = 4x
<u> ÷4 </u> <u>÷4 </u>
= x
y = + 1
= + 1
= + 1
=
Third vertex is at
- Step 2: Input the vertices into the objective function: C = 5x - 4y
(0, 1): C = 5(0) - 4(1)
= 0 - 4
= -4
: C = 5 - 4
= -
=
= 1.5
(4, 0): C = 5(4) - 4(0)
= 20 - 0
= 20
- Step 3: Evaluate the answers above to find the maximum: <em>20</em>
Answer:
try right 3, up 4. if not, try right 4, up 3.
Answer:
Angle ACB And Angle ECD
Step-by-step explanation: