Answer:
False
Step-by-step explanation:
The volume of a right cylinder is given by the formula:

And the volume if a oblique cylinder is <em>also</em> given by the formula:

Regardless of the height, if the radius are different, then the volume would not be the same.
Algebraically:

Answer:
q = 2p - 1/3
Step-by-step explanation:
2q + 2p = 1+5q
2q = 1+5q-2p
-3q=1-2p
-q = 1-2p/3
q= 2p-1/3
Answer:
The correct option is O B'
Step-by-step explanation:
We have a quadrilateral with vertices A, B, C and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units away from the line, C is 7 units away from the line and D is 9 units away from the line.
Now we perform the reflection and we obtain a new quadrilateral A'B'C'D'.
In order to apply the reflection to the original quadrilateral ABCD, we perform the reflection to all of its points, particularly to its vertices.
Wherever we have a point X and a line of reflection L and we perform the reflection, the new point X' will keep its original distance from the line of reflection (this is an important concept in order to understand the exercise).
I will attach a drawing with an example.
Finally, we only have to look at the vertices and its original distances to answer the question.
The vertice that is closest to the line of reflection is B (the distance is 4 units). We answer O B'
Answer:
B. rotation 90° counterclockwise about the origin.
Step-by-step explanation:
Transformation is the process by which the size or orientation of a given figure is altered without any effect on its shape. Examples are; rotation, reflection, translation and dilation.
Rotation is the process of turning a figure about a reference point called the origin. While reflection is turning a figure about a line to produce its image.
In the given question, ∆ABC is mapped onto ∆A'B'C' by rotating it at 90° counterclockwise about the origin.
Let's simplify step-by-step.
2/
5
y−4+7−
9
/10
y
=
2
/5
y+−4+7+
−9
/10
y
Combine Like Terms: =
2
/5
y+−4+7+
−9
/10
y
(2
/5
y+
−9
/10
y)+(−4+7)
=
−1
/2
y+3
Answer: =
−1
/2
y+3
Hope I could help! :)