Question 1

Consider a line with slope m and y-intercept (0,8).Write the distance d between the point (7,1)and the line as a function of m. ​

Accepted Answer

A)  $\frac { 7 | m - 1 | } { \sqrt { m ^ { 2 } + 1 } }$ 
B)  $$\frac { 7 | m + 1 | } { \sqrt { m ^ { 2 } - 1 } }$$ 
C)  $\frac { 7 | m + 1 | } { \sqrt { m ^ { 2 } + 1 } }$ 
D)  $$\frac { 7 | m + 7 | } { \sqrt { m ^ { 2 } + 1 } }$$ 
E)  $\frac { | m + 1 | } { \sqrt { m ^ { 2 } + 1 } }$ 
A)  $\frac { 7 | m - 1 | } { \sqrt { m ^ { 2 } + 1 } }$ 
B)  $$\frac { 7 | m + 1 | } { \sqrt { m ^ { 2 } - 1 } }$$ 
C)  $\frac { 7 | m + 1 | } { \sqrt { m ^ { 2 } + 1 } }$ 
D)  $$\frac { 7 | m + 7 | } { \sqrt { m ^ { 2 } + 1 } }$$ 
E)  $\frac { | m + 1 | } { \sqrt { m ^ { 2 } + 1 } }$ C

Question 2

Find the distance between the point and the line.​ Point $~~~~~~~~~~$Line
$( 4,5 ) \quad x + 2 = 0$ ​

Accepted Answer

A)  $d = 8$ 
B)  $d = 9$ 
C)  $d = 6$ 
D)  $d = 10$ 
E)  $d = 7$ 
A)  $d = 8$ 
B)  $d = 9$ 
C)  $d = 6$ 
D)  $d = 10$ 
E)  $d = 7$ E

Question 3

Find the distance between the point and the line.Round your answer to four decimal places.​ Point Line
$( 9,8 ) - 8 x + y - 8 = 0$ ​

Accepted Answer

A) ​ $d \approx 9.0554$ 
B)  $$d \approx 10.0554$$ 
C)  $d \approx 11.0554$ 
D)  $d \approx 8.0554$ 
E)  $d \approx 12.0554$ 
A) ​ $d \approx 9.0554$ 
B)  $$d \approx 10.0554$$ 
C)  $d \approx 11.0554$ 
D)  $d \approx 8.0554$ 
E)  $d \approx 12.0554$ A

Question 4

Find the angle $\theta$ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.​ $\begin{array} { l } 
x - 2 y = 9 \
10 x + 2 y = 7
\end{array}$ ​

Accepted Answer

A)  $$\Theta \approx 1.3045 \text { radians } \approx 75.7 ^ { \circ }$$ 
B)  $\Theta \approx 1.3045 \text { radians } \approx 74.7 ^ { \circ }$ 
C)  $$\Theta \approx 1.3045 \text { radians } \approx 73.7 ^ { \circ }$$ 
D)  $\theta \approx 1.3045 \text { radians } \approx 76.7 ^ { \circ }$ 
E)  $\Theta \approx 1.3045 \text { radians } \approx 72.7 ^ { \circ }$ 
A)  $$\Theta \approx 1.3045 \text { radians } \approx 75.7 ^ { \circ }$$ 
B)  $\Theta \approx 1.3045 \text { radians } \approx 74.7 ^ { \circ }$ 
C)  $$\Theta \approx 1.3045 \text { radians } \approx 73.7 ^ { \circ }$$ 
D)  $\theta \approx 1.3045 \text { radians } \approx 76.7 ^ { \circ }$ 
E)  $\Theta \approx 1.3045 \text { radians } \approx 72.7 ^ { \circ }$

Question 5

Find the angle $\theta$ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.​ $\begin{array} { l } 
0.04 x + 0.02 y = - 0.06 \
0.05 x - 0.04 y = 0.03
\end{array}$ ​

Accepted Answer

A) ​ $\Theta \approx 1.1071 \text { radians } \approx 64.4 ^ { \circ }$ 
B)  $\theta \approx 1.1071 \text { radians } \approx 62.4 ^ { \circ }$ 
C)  $$\theta \approx 1.1071 \text { radians } \approx 65.4 ^ { \circ }$$ 
D)  $\theta \approx 1.1071 \text { radians } \approx 61.4 ^ { \circ }$ 
E)  $\theta \approx 1.1071 \text { radians } \approx 63.4 ^ { \circ }$ 
A) ​ $\Theta \approx 1.1071 \text { radians } \approx 64.4 ^ { \circ }$ 
B)  $\theta \approx 1.1071 \text { radians } \approx 62.4 ^ { \circ }$ 
C)  $$\theta \approx 1.1071 \text { radians } \approx 65.4 ^ { \circ }$$ 
D)  $\theta \approx 1.1071 \text { radians } \approx 61.4 ^ { \circ }$ 
E)  $\theta \approx 1.1071 \text { radians } \approx 63.4 ^ { \circ }$

Question 6

Find the inclination Θ (in degrees)of the line with a slope of m.Round your answer to one decimal places.​ $m = 0.6666666667$ ​

Accepted Answer

A)  $\Theta \approx 35.7 ^ { \circ }$ 
B)  $\Theta \approx 34.7 ^ { \circ }$ 
C) ​ $\Theta \approx 33.7 ^ { \circ }$ 
D)  $\Theta \approx 32.7 ^ { \circ }$ 
E)  $\Theta \approx 31.7 ^ { \circ }$ 
A)  $\Theta \approx 35.7 ^ { \circ }$ 
B)  $\Theta \approx 34.7 ^ { \circ }$ 
C) ​ $\Theta \approx 33.7 ^ { \circ }$ 
D)  $\Theta \approx 32.7 ^ { \circ }$ 
E)  $\Theta \approx 31.7 ^ { \circ }$

Question 7

Find the slope of the line with inclination $\Theta$ .Round your answer to four decimal places. ​​ $\Theta = 2.40 \text { radians }$ ​

Accepted Answer

A)  $m \approx - 1.0160$ 
B)  $m \approx - 1.1160$ 
C)  $m \approx - 1.2160$ 
D)  $m \approx - 0.9160$ 
E)  $m \approx - 1.3160$ 
A)  $m \approx - 1.0160$ 
B)  $m \approx - 1.1160$ 
C)  $m \approx - 1.2160$ 
D)  $m \approx - 0.9160$ 
E)  $m \approx - 1.3160$

Question 8

Find the angle $\theta$ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.​ $$\begin{array} { l } 
x - y = 0 \
5 x - 4 y = - 3
\end{array}$$ ​   ​

Accepted Answer

A)  $\Theta \approx 0.1107 \text { radian } \approx 7.3 ^ { \circ }$ 
B)  $\Theta \approx 0.1107 \text { radian } \approx 5.3 ^ { \circ }$ 
C)  $\Theta \approx 0.1107 \text { radian } \approx 6.3 ^ { \circ }$ 
D)  $\Theta \approx 0.1107 \text { radian } \approx 8.3 ^ { \circ }$ 
E)  $\Theta \approx 0.1107 \text { radian } \approx 4.3 ^ { \circ }$ 
A)  $\Theta \approx 0.1107 \text { radian } \approx 7.3 ^ { \circ }$ 
B)  $\Theta \approx 0.1107 \text { radian } \approx 5.3 ^ { \circ }$ 
C)  $\Theta \approx 0.1107 \text { radian } \approx 6.3 ^ { \circ }$ 
D)  $\Theta \approx 0.1107 \text { radian } \approx 8.3 ^ { \circ }$ 
E)  $\Theta \approx 0.1107 \text { radian } \approx 4.3 ^ { \circ }$

Question 9

Find the distance between the point and the line.Round your answer to four decimal places.​ Point $~~~~~~~$Line
$( 2,3 ) \quad x - y = 2$ ​

Accepted Answer

A)  $d \approx 6.6569$ 
B)  $d \approx 7.6569$ 
C)  $d \approx 4.6569$ 
D)  $d \approx 8.6569$ 
E)  $d \approx 5.6569$ 
A)  $d \approx 6.6569$ 
B)  $d \approx 7.6569$ 
C)  $d \approx 4.6569$ 
D)  $d \approx 8.6569$ 
E)  $d \approx 5.6569$

Question 10

Find the angle $\theta$ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree. $\begin{array} { l } 
12 x + 6 y = 18 \
3 x - 2 y = - 1
\end{array}$ ​

Accepted Answer

A) ​ $\Theta \approx 1.1071 \text { radians } \approx 64.4 ^ { \circ }$ 
B)  $\theta \approx 1.1071 \text { radians } \approx 62.4 ^ { \circ }$ 
C)  $\theta \approx 1.1071 \text { radians } \approx 65.4 ^ { \circ }$ 
D)  $\theta \approx 1.1071 \text { radians } \approx 63.4 ^ { \circ }$ 
E)  $\theta \approx 1.1071 \text { radians } \approx 61.4 ^ { \circ }$ 
A) ​ $\Theta \approx 1.1071 \text { radians } \approx 64.4 ^ { \circ }$ 
B)  $\theta \approx 1.1071 \text { radians } \approx 62.4 ^ { \circ }$ 
C)  $\theta \approx 1.1071 \text { radians } \approx 65.4 ^ { \circ }$ 
D)  $\theta \approx 1.1071 \text { radians } \approx 63.4 ^ { \circ }$ 
E)  $\theta \approx 1.1071 \text { radians } \approx 61.4 ^ { \circ }$

Question 11

A moving conveyor is built so that it rises 9 meter for each 11 meters of horizontal travel.Find the inclination of the conveyor.Round your answers to one decimal place. ​

Accepted Answer

A)  $\Theta \approx 40.3 ^ { \circ }$ 
B)  $\Theta \approx 41.3 ^ { \circ }$ 
C)  $\Theta \approx 38.3 ^ { \circ }$ 
D)  $\Theta \approx 39.3 ^ { \circ }$ 
E)  $\Theta \approx 37.3 ^ { \circ }$ 
A)  $\Theta \approx 40.3 ^ { \circ }$ 
B)  $\Theta \approx 41.3 ^ { \circ }$ 
C)  $\Theta \approx 38.3 ^ { \circ }$ 
D)  $\Theta \approx 39.3 ^ { \circ }$ 
E)  $\Theta \approx 37.3 ^ { \circ }$

Question 12

Find the inclination $\theta$ (in radians and degrees)of the line passing through the points.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.​ $( 12,9 ) , ( 4,3 )$ ​

Accepted Answer

A)  $\Theta \approx 0.6435 \text { radians } \approx 36.9$ 
B)  $\Theta \approx 0.6435 \text { radians } \approx 37.9$ 
C)  $\Theta \approx 0.6435 \text { radians } \approx 35.9$ 
D)  $\Theta \approx 0.6435 \text { radians } \approx 38.9$ 
E)  $\Theta \approx 0.6435 \text { radians } \approx 34.9$ 
A)  $\Theta \approx 0.6435 \text { radians } \approx 36.9$ 
B)  $\Theta \approx 0.6435 \text { radians } \approx 37.9$ 
C)  $\Theta \approx 0.6435 \text { radians } \approx 35.9$ 
D)  $\Theta \approx 0.6435 \text { radians } \approx 38.9$ 
E)  $\Theta \approx 0.6435 \text { radians } \approx 34.9$

Question 13

Find the angle $\theta$ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.​ $\begin{array} { l } 
6 x - 8 y = 8 \
6 x + 8 y = 7
\end{array}$ ​

Accepted Answer

A) ​ $\Theta \approx 1.3221 \text { radians } \approx 76.7 ^ { \circ }$ 
B)  $\theta \approx 1.3221 \text { radians } \approx 74.7 ^ { \circ }$ 
C)  $\Theta \approx 1.3221 \text { radians } \approx 75.7 ^ { \circ }$ 
D)  $\Theta \approx 1.3221 \text { radians } \approx 77.7 ^ { \circ }$ 
E)  $\theta \approx 1.3221 \text { radians } \approx 73.7 ^ { \circ }$ 
A) ​ $\Theta \approx 1.3221 \text { radians } \approx 76.7 ^ { \circ }$ 
B)  $\theta \approx 1.3221 \text { radians } \approx 74.7 ^ { \circ }$ 
C)  $\Theta \approx 1.3221 \text { radians } \approx 75.7 ^ { \circ }$ 
D)  $\Theta \approx 1.3221 \text { radians } \approx 77.7 ^ { \circ }$ 
E)  $\theta \approx 1.3221 \text { radians } \approx 73.7 ^ { \circ }$

Question 14

Find the distance between the point and the line.Round your answer to four decimal places.​ Point Line
$( 7,5 ) \quad x - y = 50$ ​

Accepted Answer

A)  $d \approx 24.3345$ 
B)  $d \approx 25.3345$ 
C)  $d \approx 23.3345$ 
D)  $d \approx 22.3345$ 
E)  $d \approx 26.3345$ 
A)  $d \approx 24.3345$ 
B)  $d \approx 25.3345$ 
C)  $d \approx 23.3345$ 
D)  $d \approx 22.3345$ 
E)  $d \approx 26.3345$

Question 15

Find the angle $\theta$ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.​ $\begin{array} { l } 
0.04 x + 0.02 y = 0.06 \
0.07 x - 0.06 y = 0.05
\end{array}$ ​

Accepted Answer

A)  $\theta \approx 1.1903 \text { radians } \approx 69.2 ^ { \circ }$ 
B)  $$\theta \approx 1.1903 \text { radians } \approx 67.2 ^ { \circ }$$ 
C)  $\theta \approx 1.1903 \text { radians } \approx 70.2 ^ { \circ }$ 
D)  $\theta \approx 1.1903 \text { radians } \approx 66.2 ^ { \circ }$ 
E)  $\theta \approx 1.1903 \text { radians } \approx 68.2 ^ { \circ }$ 
A)  $\theta \approx 1.1903 \text { radians } \approx 69.2 ^ { \circ }$ 
B)  $$\theta \approx 1.1903 \text { radians } \approx 67.2 ^ { \circ }$$ 
C)  $\theta \approx 1.1903 \text { radians } \approx 70.2 ^ { \circ }$ 
D)  $\theta \approx 1.1903 \text { radians } \approx 66.2 ^ { \circ }$ 
E)  $\theta \approx 1.1903 \text { radians } \approx 68.2 ^ { \circ }$

Question 16

A roof has a rise of 9 feet for every horizontal change of 11 feet (see figure).Find the inclination of the roof.Round your answers to one decimal place.​   ​ $$a = 9 , b = 11$$ ​

Accepted Answer

A)  $\Theta \approx 39.3 ^ { \circ }$ 
B)  $\Theta \approx 40.3 ^ { \circ }$ 
C)  $\Theta \approx 41.3 ^ { \circ }$ 
D)  $\Theta \approx 38.3 ^ { \circ }$ 
E)  $\Theta \approx 37.3 ^ { \circ }$ 
A)  $\Theta \approx 39.3 ^ { \circ }$ 
B)  $\Theta \approx 40.3 ^ { \circ }$ 
C)  $\Theta \approx 41.3 ^ { \circ }$ 
D)  $\Theta \approx 38.3 ^ { \circ }$ 
E)  $\Theta \approx 37.3 ^ { \circ }$

Question 17

The Falls Incline Railway in Niagara Falls,Ontario,Canada is an inclined railway that was designed to carry people from the City of Niagara Falls to Queen Victoria Park.The railway is approximately 170 feet long with a 40% uphill grade (see figure).Using the origin of a rectangular coordinate system as the base of the inclined plane,find the equation of the line that models the railway track.​   ​ $a = 170$ ​

Accepted Answer

A)  $y = 170 x$ 
B)  $y = 0.40 x$ 
C)  $y = 40 x$ 
D)  $y = - 0.40 x$ 
E)  $y = - 170 x$ 
A)  $y = 170 x$ 
B)  $y = 0.40 x$ 
C)  $y = 40 x$ 
D)  $y = - 0.40 x$ 
E)  $y = - 170 x$

Question 18

Find the distance between the point and the line.Round your answer to four decimal places. Point Line
$( 2,4 ) \quad 5 x - y = 10$ ​

Accepted Answer

A)  $d \approx 2.7889$ 
B)  $d \approx 1.7889$ 
C)  $$d \approx 3.7889$$ 
D)  $$d \approx 0.7889$$ 
E)  $d \approx 4.7889$ 
A)  $d \approx 2.7889$ 
B)  $d \approx 1.7889$ 
C)  $$d \approx 3.7889$$ 
D)  $$d \approx 0.7889$$ 
E)  $d \approx 4.7889$

Question 19

Find the inclination $\theta$ (in radians and degrees)of the line.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.​ $8 x - 2 y + 14 = 0$ ​

Accepted Answer

A)  $\theta \approx 1.4289 \text { radians } \approx 82.9 ^ { \circ }$ 
B) ​ $\Theta \approx 1.4289 \text { radians } \approx 80.9 ^ { \circ }$ 
C)  $\theta \approx 1.4289 \text { radians } \approx 83.9 ^ { \circ }$ 
D)  $\theta \approx 1.4289 \text { radians } \approx 79.9 ^ { \circ }$ 
E)  $\theta \approx 1.4289 \text { radians } \approx 81.9 ^ { \circ }$ 
A)  $\theta \approx 1.4289 \text { radians } \approx 82.9 ^ { \circ }$ 
B) ​ $\Theta \approx 1.4289 \text { radians } \approx 80.9 ^ { \circ }$ 
C)  $\theta \approx 1.4289 \text { radians } \approx 83.9 ^ { \circ }$ 
D)  $\theta \approx 1.4289 \text { radians } \approx 79.9 ^ { \circ }$ 
E)  $\theta \approx 1.4289 \text { radians } \approx 81.9 ^ { \circ }$

Question 20

Find the slope of the line with inclination $\Theta$ .Round your answer to four decimal places.​ $\Theta = 1.41 \text { radians }$ ​ ​

Accepted Answer

A)  $m \approx 7.1654$ 
B)  $m \approx 5.1654$ 
C)  $m \approx 8.1654$ 
D)  $m \approx 6.1654$ 
E)  $m \approx 4.1654$ 
A)  $m \approx 7.1654$ 
B)  $m \approx 5.1654$ 
C)  $m \approx 8.1654$ 
D)  $m \approx 6.1654$ 
E)  $m \approx 4.1654$

Exam 59: Lines

Consider a line with slope m and y-intercept (0,8).Write the distance d between the point (7,1)and the line as a function of m. ​

Find the distance between the point and the line.​ Point ~~~~~~~~~~ Line (4,5)x+2=0( 4,5 ) \quad x + 2 = 0(4,5)x+2=0 ​

Find the distance between the point and the line.Round your answer to four decimal places.​ Point Line (9,8)−8x+y−8=0( 9,8 ) - 8 x + y - 8 = 0(9,8)−8x+y−8=0 ​

Find the angle θ\thetaθ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.​ x-2y=9 10x+2y=7 ​

Find the angle θ\thetaθ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.​ 0.04x+0.02y=-0.06 0.05x-0.04y=0.03 ​

Find the inclination Θ (in degrees)of the line with a slope of m.Round your answer to one decimal places.​ m=0.6666666667m = 0.6666666667m=0.6666666667 ​

Find the slope of the line with inclination Θ\ThetaΘ .Round your answer to four decimal places. ​​ Θ=2.40 radians \Theta = 2.40 \text { radians }Θ=2.40 radians ​

Find the angle θ\thetaθ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.​ x-y=0 5x-4y=-3 ​ ​

Find the distance between the point and the line.Round your answer to four decimal places.​ Point ~~~~~~~ Line (2,3)x−y=2( 2,3 ) \quad x - y = 2(2,3)x−y=2 ​

Find the angle θ\thetaθ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree. 12x+6y=18 3x-2y=-1 ​

A moving conveyor is built so that it rises 9 meter for each 11 meters of horizontal travel.Find the inclination of the conveyor.Round your answers to one decimal place. ​

Find the inclination θ\thetaθ (in radians and degrees)of the line passing through the points.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.​ (12,9),(4,3)( 12,9 ) , ( 4,3 )(12,9),(4,3) ​

Find the angle θ\thetaθ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.​ 6x-8y=8 6x+8y=7 ​

Find the distance between the point and the line.Round your answer to four decimal places.​ Point Line (7,5)x−y=50( 7,5 ) \quad x - y = 50(7,5)x−y=50 ​

Find the angle θ\thetaθ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.​ 0.04x+0.02y=0.06 0.07x-0.06y=0.05 ​

A roof has a rise of 9 feet for every horizontal change of 11 feet (see figure).Find the inclination of the roof.Round your answers to one decimal place.​ ​ a=9,b=11a = 9 , b = 11a=9,b=11 ​

Find the distance between the point and the line.Round your answer to four decimal places. Point Line (2,4)5x−y=10( 2,4 ) \quad 5 x - y = 10(2,4)5x−y=10 ​

Find the inclination θ\thetaθ (in radians and degrees)of the line.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.​ 8x−2y+14=08 x - 2 y + 14 = 08x−2y+14=0 ​

Find the slope of the line with inclination Θ\ThetaΘ .Round your answer to four decimal places.​ Θ=1.41 radians \Theta = 1.41 \text { radians }Θ=1.41 radians ​ ​

Rectangular Coordinates

Graphs of Equations

Linear Equations in Two Variables

Functions

Analyzing Graphs of Functions

A Library of Parent Functions

Transformations of Functions

Combinations of Functions Composite Functions

Inverse Functions

Mathematical Modeling and Variation

Quadratic Functions and Models

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

Complex Numbers

Zeros of Polynomial Functions

Rational Functions

Nonlinear Inequalities

Exponential Functions and Their Graphs

Logarithmic Functions and Their Graphs

Properties of Logarithms

Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Radian and Degree Measure

Trigonometric Functions The Unit Circle

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Graphs of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

Using Fundamental Identities

Verifying Trigonometric Equations

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple Angle and Product to Sum Formulas

Law of Sines

Law of Cosines

Vectors in the Plane

Vectors and Dot Products

Trigonometric Form of a Complex Number

Linear and Nonlinear Systems of Equations

Two Variable Linear Systems

Multivariable Linear Systems

Partial Fractions

Systems of Inequalities

Linear Programming

Matrices and Systems of Equations

Operations With Matrices

The Inverse of a Square Matrix

The Determinant of a Square Matrix

Applications of Matrices and Determinants

Sequences and Series

Arithmetic Sequences and Partial Sums

Geometric Sequences and Series

Mathematical Induction

The Binomial Theorem

Counting Principles

Probability

Introduction to Conics Parabolas

Ellipses

Consider a line with slope m and y-intercept (0,8).Write the distance d between the point (7,1)and the line as a function of m.

Find the distance between the point and the line. Point $~~~~~~~~~~$ Line $( 4,5 ) \quad x + 2 = 0$

Find the distance between the point and the line.Round your answer to four decimal places. Point Line $( 9,8 ) - 8 x + y - 8 = 0$

Find the angle $\theta$ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree. x-2y=9 10x+2y=7

Find the angle $\theta$ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree. 0.04x+0.02y=-0.06 0.05x-0.04y=0.03

Find the inclination Θ (in degrees)of the line with a slope of m.Round your answer to one decimal places. $m = 0.6666666667$

Find the slope of the line with inclination $\Theta$ .Round your answer to four decimal places. $\Theta = 2.40 \text { radians }$

Find the distance between the point and the line.Round your answer to four decimal places. Point $~~~~~~~$ Line $( 2,3 ) \quad x - y = 2$

Find the angle $\theta$ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree. 12x+6y=18 3x-2y=-1

A moving conveyor is built so that it rises 9 meter for each 11 meters of horizontal travel.Find the inclination of the conveyor.Round your answers to one decimal place.

Find the inclination $\theta$ (in radians and degrees)of the line passing through the points.Round your answer to four decimal places for radians and round your answer to one decimal places for degree. $( 12,9 ) , ( 4,3 )$

Find the angle $\theta$ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree. 6x-8y=8 6x+8y=7

Find the distance between the point and the line.Round your answer to four decimal places. Point Line $( 7,5 ) \quad x - y = 50$

Find the angle $\theta$ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree. 0.04x+0.02y=0.06 0.07x-0.06y=0.05

A roof has a rise of 9 feet for every horizontal change of 11 feet (see figure).Find the inclination of the roof.Round your answers to one decimal place. $a = 9 , b = 11$

Find the distance between the point and the line.Round your answer to four decimal places. Point Line $( 2,4 ) \quad 5 x - y = 10$

Find the inclination $\theta$ (in radians and degrees)of the line.Round your answer to four decimal places for radians and round your answer to one decimal places for degree. $8 x - 2 y + 14 = 0$

Find the slope of the line with inclination $\Theta$ .Round your answer to four decimal places. $\Theta = 1.41 \text { radians }$