(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.
Answer:
A i think
Step-by-step explanation:
Answer:
x = -6
Step-by-step explanation:
Solve for x:
-x/3 = 2
Multiply both sides of -x/3 = 2 by -3:
(-3 (-x))/3 = -3×2
-3×(-1)/3 = (-3 (-1))/3:
(-3 (-1))/3 x = -3×2
(-3)/3 = (3 (-1))/3 = -1:
--1 x = -3×2
(-1)^2 = 1:
x = -3×2
-3×2 = -6:
Answer: x = -6
Answer:
the daily graphs
Step-by-step explanation:
the news paper
Answer:
12 feet
Step-by-step explanation:
Sometimes, a simple drawing is a great way to start! In the attached drawing, the red line represents the ladder, the brown represents the ground, and the black represents the building!
We want to find the side of the triangle from where the ladder meets the building to where the building meets the ground. This can be found using trigonometric identities, namely sine:
Plug in known values:
Rearrange to isolate the variable:
Simplify!
Round to the nearest foot:
