Answer:
X-intercept (2,0)
Step-by-step explanation:
2y = 3x − 6
x intercept when y = 0
So
3x - 6 = 0
3x = 6
x = 2
X-intercept (2,0)
The formula for the midpoint is:
(x1 + x2)/2, (y1 + y2)/2
Midpoint = (5+3)/2 , (7+1)/2
Midpoint = 8/2 , 8/2
Midpoint =(4,4)
Since they want the unit of volume to be cm^3, first we have to convert the values given from inch into cm
=> 12 in = 30.48cm
4 in = 10.16cm
14 in = 35.56cm
Since both of the figures are cylinders, we have to find them one by one
Find the volume of the upper cylinder
Formula: V = pi*r^2*h
We know, pi = 3,
radius = diameter of base/2
=> r = 30.48cm/2 = 15.24cm
height = 30.48cm
We get V=3*(15.24)^2*30.48=21237.6cm^3
Find the volume of lower cylinder
Formula: V = pi*r^2*h
We know, pi = 3,
radius = diameter of base/2
=> r = 35.56cm/2 = 17.78cm
height = 10.16cm
We get
V = 3*(17.78)^2*10.16 = 9635.6cm^3
Therefore, the volume of the object is
V = 21237.6cm^3 + 9635.6cm^3
= 30873.2cm^3.
Answer:
Area and side length of rhombus.
Step-by-step explanation:
Directly proportional: If the first variable is multiplied by a constant, the other will also be multiplied by a constant.
Rhombus is a quadrilateral with equal side lengths.
Area increases with a quadratic relationship as a corresponding length increases if the angles do not change. If side length is multiplied by A, the area will be multiplied by A^2. If side length is doubled, the area will be 4 times greater.
Total cost is usually directly proportional to ticket price.
If number of tickets are doubled, the total cost will double.
Hours worked is usually proportional to money earned.
If one works twice as long, money earned will be twice as much.
Distance is proportional to time spent when speed is constant if travelling in a straight line. If time is twice as long, the distance traveled will double.
Answer:
10
Step-by-step explanation:
We start by getting the value of x
We have this as follows:
5x ≤ 43 + 11
5x ≤ 54
x ≤ 54/5
x ≤ 10.8
As we can see, the maximum integer closest to this decimal is the value 10