EXERC
(SA
- Khan academy Math,
OPIC 18, Level-2, Q2)
(NO Calculator)
Which of the following functions could represent the graph above in
the xy-plane, where y = P(x) ?
A) P(x)=x² + 6x + 8
B) P(x)=xr3 + 6x² + 8x
C) P(x)=x² – 6x + 8
D)
P(x) = x3 – 6x2 + 8x
EXAMPLE 5
Calculating Distance
(a) The distance between P(-1, 2) and 0(3, 4) is
V(3 - (-1))² + (4 – 2) = V(4 + (2)² = V/20 = V4.5 = 2V5.
(b) The distance from the origin to P(x, y) is
V - 0)² + (y – o) = Vx² + y?.
21
Exercises1.2:
Write an equation for each line described.
1. Passes through (-8,0) and (-1,3).
2. Passes through (2,-3)with slop 1/2.
3. Has slope -5/4 and y-intercept 6 .
4. Passes through (-12, -9) and has slope 0.
5. Passes through (1/3 , 4), and has no slope.
6. Has y-intercept -6 and x-intercept 2
7. Passes through(-V2, 2)parallel to the line 2 x+ 5y= V3 .
8. Passes through(4,10) and is perpendicular to the line 6x - 3y=5.
22
Lienar Algebra
Let the line pass through the points A(1, 0, 1) and B(0, 1, 1). Calculate the distance from point C(2, 1, 2) to the line r.
Chapter 6 Solutions
Bundle: Elementary Linear Algebra, Loose-leaf Version, 8th + WebAssign Printed Access Card for Larson's Elementary Linear Algebra, 8th Edition, Single-Term
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Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY