Answer: 12√2 cm
<u>Step-by-step explanation:</u>
Cube 1: V = 6³ = 216
Cube 2: V = 8³ = 512
Cube 3: <u>V = 10³ = 1000</u>
New Cube: V = 1728
1728 = s³
12 = s
So, each side of the new cube is 12 cm.
Use Pythagorean Theorem to find the length of the diagonal:
12² + 12² = diagonal²
144 + 144 = diagonal²
288 = diagonal²
√288 = diagonal
12√2 = diagonal
Answer:
For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.
Step-by-step explanation:
Given equations are:
4x + 5y = 10
Ax + By = 16
The general form of linear equation in two variables is given by:

Here a, b and c are constants and x,y are variables.
In the given equations, after comparing with the general form

"In order for a system of equations to have infinity many solutions,
"
Putting the values we get

Hence,
For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.
Answer:
1. The y-intercept is 10
2. The slope-intercept is -2
Step-by-step explanation:
1. The y-intercept is 10 because when the x-intercept is 0 the y-intercept should be on the other side.
2. (2,6) and (-1,12)
slope=rise/run= the change of y/the change of x=m=y2-y1/x2-x1
1. change of x=-1-2=-3 and change of y= 12-6=6
2. 6/-3= -2
hope this helps <3
Answer:
11/ 14 chance that you will pick a white stone
3/14 chance to picka a black stone
Step-by-step explanation:
Hope that helps
Answer:
x = -(h+g) / f
Step-by-step explanation:
-fx - g = h
-fx = h + g
x = (h + g) / -f
x = -(h+g)/f