3. Bob has 8 pieces of square index cards that each measures 8 inches per side. Using a pair of scissors, he cuts each piece in
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Answer:
<em>Yellow troop will complete the hike faster than blue troop</em>
<u>Blue troop hikes 1.33 miles in 1 hour</u>
<u>Yellow troop hikes 2.25 miles in 1 hour</u>
Missing portion:
Since the final statement is missing, so we will find how much distance can the troops travels in 1 hour and which troop can complete the hike faster.
Step-by-step explanation:
As given in the statement:
Blue troops travels miles ever
hour:
hr =
miles
1 hr =
1 hr= miles = 1.33 miles
Blue troop hikes 1.33 miles in 1 hour
Yellow troops travels miles ever
hour:
hr=
miles
1 hr = miles
1 hr = miles =2.25 miles
Yellow troop hikes 2.25 miles in 1 hour
<u><em>Yellow troop will complete the hike faster than blue troop</em></u>
Refer to the diagram shown below.
The directrix is y = -4 and the focus is (-2, -2).
Therefore the vertex is at (-2, -3).
Consider an arbitrary point (x,y) on the parabola.
The square of distance from the focus to the point is
(x+2)² + (y+2)²
The square of the distance from the point to the directrix is
(y+4)²
Therefore
(y+4)² = (y+2)² + (x+2)²
y² + 8y + 16 = y² + 4y + 4 + (x+2)²
4y = (x+2)² - 12
y = (1/4)(x+2)² - 3
Answer:
The directrix is y = -4 and the focus is (-2, -2).
Therefore the vertex is at (-2, -3).
Consider an arbitrary point (x,y) on the parabola.
The square of distance from the focus to the point is
(x+2)² + (y+2)²
The square of the distance from the point to the directrix is
(y+4)²
Therefore
(y+4)² = (y+2)² + (x+2)²
y² + 8y + 16 = y² + 4y + 4 + (x+2)²
4y = (x+2)² - 12
y = (1/4)(x+2)² - 3
Answer: