<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
Hello there! you can use the expression
!
To find slope, subtract the y values over the x values.
In this case:
2 - - 1 / - 3 - 7
3 / -10
So, -3/10 would be the slope of these points.
Hope this helps, have a great day!
Answer:
(a) 4/9
(b) 19/27
Step-by-step explanation:
The probability of each die turning up red or not turning red are:

(a). Exactly one face up is red.
The odds of only the first die being red are:

The same odds are valid for only the second or only the third die being red. Therefore, the probability that exactly one die turns up red is:

(b). At least one face up is red.
The probability that at least one die turns up red is the sum of the probabilities of exactly one (found in the previous item), two or all dice turning up red.
Following the same logic as in the previous item, the probability that exactly two dice turn up red is:

The probability that all die turn up red is:

Thus, the probability that at least one die turns up red is:

Scholar #2 is correct. You take 15=-3m-18+5m-7 and combie like terms. Which will leave you with 15=2m-25. You will simplify from there, getting 20=m.


The basic angle for 1/2 is 60°, and cosines are negative in the first and third quadrant.
So, you take 180° - 60° = 120° to get the angle in the first quadrant, and 180° + 60° = 240° to get the angle in the third quadrant.
Since only 120° is an option, the answer is
B.