Hello,
Let 's a the width,
b the heigth
2a+b=80==>b=80-2a
Area=A(a,b)=a*b=a*(80-2a)
=-2a²+80a
=-2(a²-2*20a+20²-20²)
=-2(a-20)² +800
Area is maxi if a=20 and area max=800
Let 2 numbers are x and y
2(x+y) = 24
x = 2y
substitute x = 2y into 2(x+y) = 24
2(x+y) = 24
2(2y+y) = 24
2(3y) = 24
6y = 24
y = 4
x = 2y = 2(4) = 8
smallest of the two numbers are 4
answer
C) 4
70 divided by half equals 35 (70/2= 35)
35+20= 55
Hope this helps!
Answer:
Option 2 ( 1,-10)
Step-by-step explanation:
The two equations are y = -x²-5x-4 -----(1)
and y = -x²+9x-18-------(2)
To get the solution of these lines we will substitute the value of y form equation 1 to 2.
- x² - 5x -4 = -x²+9x-18
Now by collecting similar terms on each side.
-x² -5x + x²-9x = -18 + 4
-14x = -14
14x = 14
x = 1
By putting the value of x in equation 1.
y = -1 - 5 - 4 = -10
So the solution is (1, -10)
Therefore Option 2 is the correct answer.
