x¹ = -2 x² = -8
y¹ = -1 y² = 12
Using midpoint formula,
M = ( x¹ + x²/2 ,y¹ + ý²/2)
or,M ={ -2+(-8)/2 , (-1) +12/2}
or, =( -10/2 , 11/2)
:M = ( -5 , 11/2)
Answer:
Step-by-step explanation:
We have the equations
4x + 3y = 18 where x = the side of the square and y = the side of the triangle
For the areas:
A = x^2 + √3y/2* y/2
A = x^2 + √3y^2/4
From the first equation x = (18 - 3y)/4
So substituting in the area equation:
A = [ (18 - 3y)/4]^2 + √3y^2/4
A = (18 - 3y)^2 / 16 + √3y^2/4
Now for maximum / minimum area the derivative = 0 so we have
A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0
-3/8 (18 - 3y) + √3 y /2 = 0
-27/4 + 9y/8 + √3y /2 = 0
-54 + 9y + 4√3y = 0
y = 54 / 15.93
= 3.39 metres
So x = (18-3(3.39) / 4 = 1.96.
This is a minimum value for x.
So the total length of wire the square for minimum total area is 4 * 1.96
= 7.84 m
There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.
Answer: <em>(- _-)</em>
Step-by-step explanation:
C, because when you add 45 on both sides, and then after that when you have to subtract 15 in both sides, you get 0 = 120.
Answer : 70
Step-by-step explanation: because 40 +30 and the biggest number in the chart is 7 just add a 0 and it becomes 70
