Answer:
p=30 q=150
Step-by-step explanation:
The answer is 21
By comparing the 4 vertices you can determine the rectangle x-length and y-length. The coordinate for the vertice is:
1,+4i
-2, +4i
-2, -3i
1, -3i
From the coordinate, you can see there are 2 x coordinate(1 and -2) and 2 y coordinate(4i and -3i) that used.
The x-length would be: 1 - (-2)= 3
The y-length would be: 4i- (-3i)= 7i
Then the area of the rectangle would be:
area= x-length * y-length= 3*7=21
Answer:
y = -3x + 18
Step-by-step explanation:
The slope intercept form of a line is expressed as y = mx+c
m is the slope
b is the intercept
Get the slope
Given the equation of a line 9x + 3y = 6
Rewrite
3y = -9x + 6
y = -9x/3 + 6/3
y = -3x + 2
Hence the slope of the line is -3
Get the y-intercept
Substitute m = -3 and (5,3) into y = mx+b
3 = -3(5) + b
3 = -15 + b
3 + 15 = b
18 = b
b = 18
Get the required equation
y = mx+b
y = -3x + 18
This gives the required equation
Step-by-step explanation:
1.)
2.)
3.)
Answer:
The volume of the cylinder is 2.1 times the volume of the pyramid
Step-by-step explanation:
step 1
Find the volume of the pyramid
we know that
The volume of a right pyramid is equal to
where
B is the area of the base of pyramid
H is the height of the pyramid
we have
substitute
step 2
Find the volume of the right cylinder
we know that
The volume of right cylinder is equal to
where
B is the area of the base of cylinder
H is the height of the cylinder
we have
substitute
step 3
Compare the volumes
we know that
The area of the base both figures are congruent
Find the ratio of their volumes
substitute
Simplify
therefore
The volume of the cylinder is 2.1 times the volume of the pyramid
