The correct answer would be 3
Answer:
The side length of the cube is 6 cm
Step-by-step explanation:
The volume of a cube is given by
V = s^3
We know the volume is 216
216 = s^3
Take the cube root of each side
216 ^ (1/3) = s^ (1/3)
6 = s
The side length of the cube is 6 cm
Answer:
2y - 3x = -15
Step-by-step explanation:
Slope of the line 4x + 6y = 1 is as shown below;
Rewrite in slope intercept form;
6y = -4x+1
y = -4x/6 + 1/6
y = -2x/3 + 1/6
mx = -2/3x
m = -2/3
The slope of the line perpendicular M = -1/(-2/3)
M = 3/2
Get the x and y intercept of 2x+3y = 18
x intercept occurs when y = 0
2x + 0 = 18
x= 18/2
x = 9
y intercept occurs when x = 0
0 + 3y = 18
3y= 18
y = 18/3
y = 6
The line passes through the point (9,6)
Write the equation in point slope form
y - y0 = m(x-x0)
y - 6 = 3/2(x-9)
2(y-6) = 3(x-9)
2y - 12 = 3x - 27
2y - 3x = -27 + 12
2y - 3x = -15
This gives the required equation
Answer:
speed of car A =Speed of car B=0.8 miles/minutes.
Step-by-step explanation:
We are given that speed of car A is equal to speed of car B.
Also let car A travels x miles.
and car B travels y miles.
Car A reaches its destination in 17 minutes.
this means that speed of car A is given by: 
miles/minutes ( since speed is defined as the ratio of distance and time).
Car B reaches its destination in 32 minutes.
This means that the speed of car B is given by: 
miles/minutes
as speed of both cars are equal this means:
------(1)
Also we are given Car B travels 12 miles farther than Car A.
this means 
------(2)
on using equation (1) and (2) we have:
Hence the speed of car A is 0.8 miles/minutes ( since x/17 is the speed of car A)
Speed of car B=0.8 miles/minutes.
I will only be writing the reasons for each and you can respond if you need clarification for anything:
1. given
2. opposite sides of a parallelogram are congruent (and a rectangle is a parallelogram so the properties apply)
3. def rectangle
4. SAS (side angle side congruence theorem)
5. CPCTC (congruent parts of congruent triangles are congruent)
