Answer:
D. The graphs of the equations intersect each other at two places.
Step-by-step explanation:
The definition of a solution of a system of two equations in two variables is a point where the graphs intersect. A system of equations having graphs that intersect each other will have as many solutions as there are intersection points. If the graphs intersect in two places, there will be two solutions.
Answer: 12 people per minute
Step-by-step explanation:
If you take the number of people loaded every 5 minutes (60) and divided it by 5
You will get 12, which means you can load 12 people on the rollercoaster per minute.
Answer:
x = 1
y = -3
Step-by-step explanation:
cos(pi) = -1
so many ways :
sqrt(0.5/2) = sqrt(0.5/2 × 8/8) = sqrt(4/16)
= sqrt(0.5/2 × 18/18) = sqrt(9/36)
= sqrt(1/4) = 1/2
"nicest" approach (all integers) :
3x² = sqrt(9)
3x² = 3
x² = 3/3 = 1
x = 1
2y = sqrt(36)
2y = 6
y = 6/2 = 3
one of them has to be negative (because cos(pi) = -1), so it has to be y, because 3x² cannot be negative with real numbers.
so, y = -3
-1 × 3×1²/(2×-3) = sqrt(0.5/2) = 1/2
-1 × 3/-6 = 1/2
3/6 = 1/2
1/2 = 1/2
correct
12/6 = 2 10/0.0001 = 1000002*100000 = 200000When doing these problems try and see the numbers not as the whole number but in standard form, if you want to understand further ask a maths professor about standard form
