Answer:
(3,3)
Step-by-step explanation:
Using the midpoint formula:
Hope this helps!
Answer:
Length = 30m and Breadth = 10m
Step-by-step explanation:
Given that :
Perimeter = 80 m ;
Breadth = 1/3 of Length ; Length = l
We know that :
Perimeter of rectangle = 2 ( L + B ).
80 = 2 ( L + 1/3 L )
80/2 = 4/3 L.
40 = 4/3 L
3/4 × 40 = L.
3 × 10 = L.
L = 30m.
Breadth = 1/3 of Length.
Breadth = 1/3 × 30.
Breadth = 10m.
<span>Length = 1200, width = 600
First, let's create an equation for the area based upon the length. Since we have a total of 2400 feet of fence and only need to fence three sides of the region, we can define the width based upon the length as:
W = (2400 - L)/2
And area is:
A = LW
Substitute the equation for width, giving:
A = LW
A = L(2400 - L)/2
And expand:
A = (2400L - L^2)/2
A = 1200L - (1/2)L^2
Now the easiest way of solving for the maximum area is to calculate the first derivative of the expression above, and solve for where it's value is 0. But since this is supposedly a high school problem, and the expression we have is a simple quadratic equation, we can solve it without using any calculus. Let's first use the quadratic formula with A=-1/2, B=1200, and C=0 and get the 2 roots which are 0 and 2400. Then we'll pick a point midway between those two which is (0 + 2400)/2 = 1200. And that should be your answer. But let's verify that by using the value (1200+e) and expand the equation to see what happens:
A = 1200L - (1/2)L^2
A = 1200(1200+e) - (1/2)(1200+e)^2
A = 1440000+1200e - (1/2)(1440000 + 2400e + e^2)
A = 1440000+1200e - (720000 + 1200e + (1/2)e^2)
A = 1440000+1200e - 720000 - 1200e - (1/2)e^2
A = 720000 - (1/2)e^2
And notice that the only e terms is -(1/2)e^2. ANY non-zero value of e will cause this term to be non-zero and negative meaning that the total area will be reduced. Therefore the value of 1200 for the length is the best possible length that will get the maximum possible area.</span>
Given:
h = 9 in
r = 1.5 in
Since volume of a cylinder is V = pi*r^2*h
V = pi*(1.5in)^2*(9in)
V = 63.6 cu in
The best and most correct answer among the choices provided by your question is the first choice or letter A. The vase can hold 63.6 cubic inches of water.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
explanation:
(A) 
Answer option C) 8, 12, 6, 1
B) 
Answer option D) 16, 96, 216, 216, 81
C) 
Answer option B) 27, 54, 36, 8
D)
Answer option A) 1, 4, 6, 4, 1
