Answer:
The perimeter of the regular octagon is 104 units
Step-by-step explanation:
we know that
The segment LM is the length of one side of the octagon
we have the coordinates
L(-6,-2) and M(6,3)
step 1
Find the distance LM
the formula to calculate the distance between two points is equal to
substitute the values
step 2
Find the perimeter
we know that
A regular octagon has eight equal sides
so
To find out the perimeter, multiply by 8 the length of the segment LM
Answer:
thats pretty easy its A
Step-by-step explanation:
cuz its talking about candidates
Answer:
Step-by-step explanation:
Question one
The slope is simply read. It is - 2
So far what you have is
y = mx + b
m = -2
y = - 2x + b
The point is a little different
(-1,1) means
x = - 1
y = 1
y = -2x + b
1 = -2(1) + b
1 = - 2 + b
1 + 2 = - 2 + 2 + b
3 = b
Complete line
y = -2x + 3
Problem 2
(0,-6 is where you should start. That's the y intercept. In the equation y = mx + b it gives you b immediately.
y = mx + b
-6 = 0m + b
b = - 6
The x intercept occurs when y = 0
0 = m(-2) - 6 Add 6 to both sides
6 = - 2m - 6 + 6
6 = -2m Divide by -2
6/-2 = m
m = - 3
Equation
y = -3x - 6
In order to answer the question, you have to know the formula of the volume of a sphere.
Volume = (4/3) * pi * r^3
Sphere 1 = (4/3) * 3.14 * 3^3
Sphere 1 = 113.04 cm ^3
Sphere 2 = (4/3) * 3.14 * 6^3
Sphere 2= 904.32 cm^3
Difference = Sphere 2 - Sphere 1
Difference = 904.32 - 113.04
Difference = 791.28 cm^3
The larger balloon has 791.28 cm^3 more water than the smaller one.
