Write and solve equations here. Let the two numbers be x and y.
Then x + 3y = 24, and 5x + 3y = 36. Solve this system of linear equations.
Note that the first equation can easily be solved for x. Then x = 24 - 3y. Subbing 24 - 3y for x in the 2nd eq'n, we get:
5(24 - 3y) + 3y = 36, or 120 - 15y + 3y = 36
-12y = 36 - 120, or -12y = -84
-84
Solving for y: y = ------- = 7
-12
If y is 7, then x is 24 - 3(7). Simplifying, x = 24 - 21 = 3.
Then the solution is (3, 7).
By all means insert 3 for x and 7 for y in either of the original equations. If that equation comes out to be true, you'll know your solution is correct.
Question 5 is D.
Question 6 is 85%
Answer:
The fourth vertex is D(8, 0)
Step-by-step explanation:
Let A(0, 0), B(2, 4), and C(10, 4) be the three vertices of a parallelogram ABCD and let its fourth vertex be D(a, b).
Join AC and BD. Let AC and BD intersect at point O.
- We have known that the diagonals of a parallelogram bisect each other.
So, O would be the midpoint of AC as well as that of BD.
The midpoint of AC is:
The midpoint of BD is:
so
∵
∵
Hence, the fourth vertex is D(8, 0)
Sperm cells are stored in C) epididymis after production.