Answer:
The midpoint of PR is;
(a + b, c)
Step-by-step explanation:
Here, we want to get the coordinates of the midpoint of PR
To get these, we make use of the midpoint formula
Mathematically, that will be;
(x,y) = (x1+y1)/2, (x2+y2)/2
(x1,y1) = (0,0)
(x2,y2) = (2a+2b, 2c)
The midpoint is thus;
(2a+2b)/2 , 2c/2
= (a + b, c )
Answer:
(6,0)
Step-by-step explanation:
The coordinates of the points dividing the line segment in ratio m:n can be calculated as:

Here x1, y1 are the coordinates of first point S (-2, -6) and x2, y2 are the coordinates of second point T(18, 9).
In this case m will be 2 and n will be 3 as the ratio is 2:3
Using all these values we can find the coordinates of point Q

Thus, the coordinates of point Q which divides the line segment ST in ratio of 2:3 are (6,0)
Answer:
0.0082 = 0.82% probability that he will pass
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the students guesses the correct answer, or he guesses the wrong answer. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:
.
If the student makes knowledgeable guesses, what is the probability that he will pass?
He needs to guess at least 9 answers correctly. So









0.0082 = 0.82% probability that he will pass
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 7 km
Explanation:
3.5 x 2 = 7
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
Step-by-step explanation:
I guess the angles are supplementary, which means they have a sum of 180º.
11x - 15 + 5x - 13 = 180
16x -28 = 180
16x = 208
x = 13