Answer:
77.
Proved
78.
Proved
79.
Proved.
80.
Proved.
Step-by-step explanation:
77. Left hand side
=
=
=
{Since we know,
}
=
= Right hand side (Proved)
78. Left hand side
=
=
{Since
}
=
= Right hand side (Proved)
79. Left hand side
=
=
{Since
}
=
= Right hand side
80. Left hand side
=
=
{Since
}
=
=
= Right hand side. (Proved)
<h2>
Answer:</h2>
A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. A rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

FOR THE ORIGINAL PRISM WE HAVE THE FOLLOWING DIMENSIONS:

In fact, the volume is
because:

Now the height of the prism was changed from 3 centimeters to 6 centimeters to create a new rectangular prism, therefore:
FOR THE NEW PRISM WE HAVE THE FOLLOWING DIMENSIONS:

So the new volume is:

<h3><em>What do we know about the volume of the new prism?</em></h3>
<em>Well, the volume has increased from </em>
<em>and since</em>
<em>we can say that the new volume is two times the original volume.</em>
Answer:
See below ~
Step-by-step explanation:
<u>Question 3 : (x, y - 5)</u>
- K' = (-3, 2 - 5) = <u>(-3, -3)</u>
- L' = (1, 4 - 5) = <u>(1, -1)</u>
- M' = (-1, 0 - 5) = <u>(-1, -5)</u>
- N' = (-5, -2 - 5) = <u>(-5, -7)</u>
<u></u>
<u>Question 4 : (x + 4, y + 1)</u>
- D' = (-4 + 4, 3 + 1) = <u>(0, 4)</u>
- E' = (0 + 4, 2 + 1) = <u>(4, 3)</u>
- F' = (-2 + 4, -6 + 1) = <u>(2, -5)</u>
- G' = (-6 + 4, -5 + 1) = <u>(-2, -4)</u>