Answer:
The equation of the line is;
y = 3x + 18
Step-by-step explanation:
We want to write the equation of the line through (-9,-9) and (-6,0)
we start by calculating the slope of the line
m = (y2-y1)/(x2-x1) = (0+ 9)/(-6+9) = 9/3 = 3
The general equation of the line is;
y = mx + c
y = 3x + c
To get c, we use any of the points
we substitute for example -6 for x and 0 for y
0 = 3(-6) + c
c = 0 + 18 = 18
So the equation of the line is;
y = 3x + 18
Answer:
11.9
Step-by-step explanation:
390=290e^(.025x)
x=11.85 which rounds to 11.9
I think the rule might be x-9
Answer: Vertex : Maximum (2, 0)
Rules:
- (x + d)² = x² + 2dx + d² and (x - d)² = x² - 2dx + d²
- x² + 2dx = (x + d)² - d² and x² - 2dx = (x - d)² - d²
Solve:
x² - 4x + 4
x² - 2(2x) + 2²
(x - 2)²
Into vertex form: a(x - h)² + k
1(x - 2)² + 0
Identify:
vertex : (h, k) = (2, 0)
Find additional things, to graph the equation:
(i) x-intercept: (2, 0)
(ii) y-intercept: (0, 4)
Graph shown:
