Answer:
V = a³/8
Step-by-step explanation:
The volume of the original cube is the cube of the side length:
V = a³
When the side length is reduced to half its former value, the new volume is ...
V = (a/2)³ = a³/2³
V = a³/8 . . . . volume of the new cube
Answer:
Step-by-step explanation:
<em>See the drawing attached</em>
<h3>Given</h3>
- C is midpoint of AB
- B is between A and D
- AD = 15
- BD = 7
- Find CD
<h3>Solution</h3>
- CD = CB + BD =
- 1/2AB + BD =
- 1/2(AD - BD) + BD =
- 1/2(15 - 7) + 7 =
- 1/2(8) + 7 =
- 4 + 7 =
- 11
Answer:
Step-by-step explanation:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
=======================================================
Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)
Point B = (0, 3) becomes B ' = (0, -3)
Point C = (-1, -1) becomes C ' = (-1, 1)
The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
Answer:

Step-by-step explanation:
we are asked to evaluate
÷
Above we are given mixed fraction which can be converted in proper fraction using formula given below
Hence


Also


Hence
÷ 
can be written as
÷ 
Also we know the rule for dividing fraction is as given below
÷
= 
Hence
÷
= 
=
=
Answer:
parallel
Step-by-step explanation:
y=3/4x+2
Multiply the equation by 8:
8y=6x+16
(8y-6x)=16
and you can clearly see that they're same