(a) Answer: One solution.
Explanation: two lines that have same slope with opposite sign will necessarily cross each other at a single point, as one is "pointing uphill" and the other "downhill."
(b) Answer: Infinitely many solutions.
Explanation:
2x + 3y = 5.5
4x + 6y = 11 | divide by 2
-->
2x + 3y = 5.5
2x + 3y = 5.5
--> equations are identical.
2x + 3y = 2x + 3y
so any (x,y) will satisfy this equation. This means infinitely many solutions.
(c) Answer: One solution
Explanation:
Continuing the two lines it becomes obvious they will cross at one point (the solution)
(d) Answer: No solution
Explanation: If the two lines are parallel, they will never cross (by definition of "parallel"). Therefore there will be no solution to the corresponding linear system.
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Answer:
1/5 divided by 4 equals to 0.05
Answer:
units.
Step-by-step explanation:
We have been given that two legs of triangle ABC measures 5 units each. We are asked to find the length of the hypotenuse.
We will use Pythagoras theorem to solve for the hypotenuse of triangle ABC.
Substituting our given values in above equation we will get,
Upon taking square root of both sides of our equation we will get,
Therefore, the length of hypotenuse of triangle ABC is units.
