<u>Part a)</u> If both ants skate directly towards each other, starting at the same time and skating the same speed, what will be the coordinates of their meeting place?
Let
A(3,4) B(33.44)
we know that
If both ants skate directly towards each other, starting at the same time and skating the same speed
then
the coordinates of their meeting place is the midpoint AB
<u>Find the midpoint AB</u>
in the x-coordinate
(3+33)/2=18
in the y-coordinate
(4+44)/2=24
the midpoint AB is (18,24)
therefore
<u>the answer Part a) is </u>
the coordinates of their meeting place is (18,24)
<u>Part b)</u> How far will each ant skate?
<u>Find the distance AB</u>
substitute the values
units
units
<u>Find the half distance AB</u>
50/2=25 units
therefore
<u>the answer part b) is</u>
Each ant will skate 25 units
Answer:
(a) 3118=61*t
(b) The amount of time the roller coaster is in motion is 51.11 seconds.
Step-by-step explanation:
Speed is a magnitude that expresses the relationship between the space traveled by an object, the time used for it and its direction. In other words, speed is associated with the change in position of a body over time and can be expressed as:
Then the distance traveled can be expressed as:
distance=speed*time
(a) If x represents the total time that the roller coaster is in motion for each ride, the average speed is 61 feet per second and the distance is 3118 feet then the expression to represent the situation is:
<u><em>3118=61*x</em></u>
(b) To calculate the amount of time the roller coaster is moving, you simply need to solve the expression found in (a). Dividing 61 to both sides:
51.11 seconds=x
<u><em>
The amount of time the roller coaster is in motion is 51.11 seconds.</em></u>
Answer:
Step-by-step explanation:
2a+3x+a+5x combine like terms
3a+8x
Answer:
48 feet
Step-by-step explanation:
1.8 feet * 24 chairs = 43.2 feet in a row (with no spaces between chairs)
48 is the closest given answer
Answer: yes
Step-by-step explanation:
