Answer:
H (x= -3 , y=5)
I (x=8 , y=2)
J (x= -3 , y= -5)
D is the distance between the 2 points so just plug in the x and y cords of each of the corresponding points
so for (HI)
you plug in 2 on the red x
and 8 on the red y
then -3 in the blue x
and 5 in the blue y
Slope-intercept form of a line is y=mx+b where m= slope and b=y-intercept.
First step is to compare this line with the given line y=5x+2 to get the value of m.
After comparing we will get m=5.
Now slope of all parallel lines are equal which means if slope of this line is 5 then slope of the line which is parallel to this line will also be 5.
Point- slope form of a line is:
Given the line passes through (-6,-1). So, plug in x1=-6, y1=-1 and m=5 in the above equation. So,
y-(-1)=5(x-(-6))
y+1=5(x+6)
y+1=5x+30
y=5x+30-1
y=5x+29.
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