Step-by-step explanation:
The T-shirt is launched with an initial upward velocity of 60 ft/s from a height of 5 feet. Its equation of motion is given by :
....(1)
(a) For maximum height, put
So,
Now put,
So, the time taken for the T-shirt to reach maximum height is 2.5 seconds.
(b) Put x = 2.5 s in equation (1)
Answer:
<u>First figure:</u>
<u>Second figure:</u>
<u>Third figure:</u>
- Height= q
- Side length = r
<u>Fourth figure: </u>
Explanation:
<u></u>
<u>A. First figure:</u>
<u>1. Formula:</u>
<u>2. Data:</u>
<u>3. Substitute in the formula and compute:</u>
<u>B. Second figure</u>
<u>1. Formula: </u>
<u>2. Data:</u>
<u>3. Substitute and compute:</u>
<u></u>
<u>C) Third figure</u>
a) The<em> height </em>is the segment that goes vertically upward from the center of the <em>base</em> to the apex of the pyramid, i.e.<u> </u><u>q </u>.
The apex is the point where the three leaned edges intersect each other.
b) The side length is the measure of the edge of the base, i.e.<u> r </u><u> </u>.
When the base of the pyramid is a square the four edges of the base have the same side length.
<u>D) Fourth figure</u>
<u>1. Formula</u>
The volume of a square pyramide is one third the product of the area of the base (B) and the height H).
<u>2. Data: </u>
- side length of the base: 11 cm
<u>3. Calculations</u>
a) <u>Calculate the area of the base</u>.
The base is a square of side length equal to 11 cm:
b) <u>Volume of the pyramid</u>:
Your answer is 36 times 2
Answer:
Step-by-step explanation:
You have the equation .
Then, to solve for the variable from the equation you need:
Make the subtraction of the right side of the equation:
(As the denominators are 1 and , the least common denominator is )
Multiply to both sides:
Add to both sides:
And finally divide both sides by :
Answer:
(-4, -2)
Step-by-step explanation:
A = (-1, 2)
Add (-3, -4) to that and you get ...
A' = (-1-3, 2-4) = (-4, -2) . . . . matches the last choice
__
The translation function has the effect of moving the point left 3 and down 4. You can count grid squares on the graph to see that A' ends up at (-4, -2).