Answer: The flag that is below the horizontal axis, is the sownward translation of the flag that is over the same axis.
Explanation:
Note that a translation transformation only moves the flag some units but does not change the direction. A rotation would have changed where the flag points (for example to the left instead of to the right).
Answer:
11k +12
Step-by-step explanation:
8k + 4 and 3k + 8
Combine like terms
8k + 4 + 3k + 8
8k+3k + 4+8
11k +12
<h3>
Answer: 36 square units</h3>
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Explanation:
Draw a horizontal line to cut the figure into a rectangle on top and a triangle down below.
The rectangle has length and width of 6 and 4 (horizontal and vertical components respectively). The area of this rectangle is 6*4 = 24 square units.
The triangle has a base of 6 and a height of 4. The base and height of any triangle are always perpendicular.
The area of the triangle is base*height/2 = 6*4/2 = 24/2 = 12 square units. If you were to cut out half of the triangle and rearrange things, you'll find that a rectangle can be formed. This rectangle is half in area that of the first rectangle we found. This is why we divide by 2 when finding the area of the triangle.
Once you know the two sub-areas, we add them up to get the overall area: 24+12 = 36 square units.
9514 1404 393
Answer:
6 feet
Step-by-step explanation:
The volume of a cylinder is given by ...
V = πr^2·h
For a sphere, the volume is ...
V = 4/3πr^3
You want the volumes to be the same when h=8, so we have ...
πr^2·8 = 4/3πr^3
Dividing by πr^2, we have ...
8 = 4/3r
r = 3/4·8 = 6
The radius is 6 feet.