###### Precalculus A Right Triangle Approach

550 SOLVED PROBLEMS

Question: 4.3.1

## Long Division OBJECTIVE Find the quotient and remainder when one polynomial is divided by another. Find the quotient and remainder when 2 x²+x^5+7+4 x³ is divided by x²+1-x. ...

Dividend: $x^{5}+4 x^{3}+2 x^{2}+7$...
Question: 10.1.4

## Comparing Linear Systems and Matrices Solve the system of linear equations. {x – y – z = 1 (1) 2x – 3y + z = 10 (2) x + y – 2z = 0 (3) ...

Linear System Augmented Matrix \left\{\be...
Question: 6.3.7

## Using Reference Angles to Find Trigonometric Function Values OBJECTIVE Find the value of any trigonometric function of a nonquadrantal angle θ. Step 1 Assuming that θ > 360° or θ < 0°, find a coterminal angle for θ with degree measure between 0° and 360°. Otherwise, go to Step 2. ...

Because  1320^{\circ}=3\left(360^{\circ}\ri...
Question: 4.3.2

## Using Long Division Divide x^4-13 x²+x+35 by x²-x-6. ...

Because the dividend does not contain an x³ term, ...
Question: 11.3.3

## Finding the Equation of an Ellipse Find an equation of the ellipse that has foci (-3, 2) and (5, 2) and that has a major axis of length 10. ...

Because the foci (-3, 2) and (5, 2) lie on the hor...
Question: 11.4.5

## Graphing a Hyperbola Centered at (0, 0) OBJECTIVE Sketch the graph of a hyperbola in the form (i) x²/a² – y²/b² = 1 or (ii) y²/a² – x²/b² = 1. Step 1 Write the equation in standard form. Determine transverse axis and the orientation of the hyperbola. Step 2 Locate vertices and the endpoints of ...

\begin{aligned}16 x^{2}-9 y^{2} &=144 \...
Question: 11.4.6

Question: 10.4.3

## Evaluating a 3 by 3 Determinant Find the determinant of A = [2 3 4 1 -2 2 3 4 -1]. ...

Expanding by the first row, we have  |A|=a_...
Question: 10.4.5

## Using Cramer’s Rule Use Cramer’s Rule to solve the system of equations. {7x + y + z – 1 = 0 5x + 3z – 2y = 4 4x – z + 3y = 0 ...

a. \left|\begin{array}{rr}3 & -4 \\1 &a...