Linear systems
What is the solution to the system: what y = 2x + 3 and y = -x + 6?
X= 1,Y=5
What is the vertex of y = (x - 2)² + 3?
(2, 3)
What is sin(30°)?
0.5
What does it mean when two lines in a system are parallel?
They have no solution because they never intersect.
What does the discriminant tell you about the roots?
The discriminant shows how many and what type of roots a quadratic equation has.
Opposite = 4, hypotenuse = 5, find sin(θ)
0.8
Solve using substitution: x + y = 5 and 2x - y = 4
x = 3, y = 2
Factor: x² - 5x + 6
(x - 2)(x - 3)
Solve: cos(x) = 0.5, 0° ≤ x ≤ 360°
x = 60°, 300°
Write a system for: 5 adult tickets at $12, 3 child tickets at $8, total $84
12a + 8c = 84; a = 5, c = 3
what is the Max height of h(t) = -5t² + 20t + 2?
22 units (vertex at t = 2, plug in to get h(2) = 22)
Ladder 10 m, angle 65°, what is the height up the wall?
≈ 9.06 m (10 × sin(65°))