Complex numbers Questions and Answers

Simplify the expression Assume all variables are positive X 13 1 5 X X

Use rational exponents to simplify the radical Assume the variable is positive

Simplify the expression 5 5 w c 9 3 3 10 3 10

Graph the hyperbola Give the domain range center vertices foci and equations of the asymptotes 9x 25y 225 The hyperbola 9x 25y 225 has its center at 0 0 Type an ordered pair The hyperbola 9x 25y 225 has vertices at Simplify your answer Type an exact answer using radicals as needed Use a comma to separate answers as needed Type an ordered pair using integers

Divide the rational expression Simplify the quotient if possible p 2p 15 2p p 1 p 3p 2 p p 2 p 2p 15 2p p 1 p 3p 2 p p 2

Find the graph of the following ellipse Identify the domain range center vertices endpoints of the minor axis and the foci x v 25 16 1 What is the center of the ellipse 0 0 Type an ordered pair Round to the nearest integer as needed Use a comma to separate answers as needed What are the vertices of the ellipse 5 0 5 0 Type an ordered pair Round to the nearest integer as needed Use a comma to separate answers as needed What are endpoints of the minor axes of the ellipse Type an ordered pair Round to the nearest integer as needed Use a comma to separate answers as needed

Solve the following equation by COMPLETING THE SQUAR X 10 7 2 x 5 2 6 x 10 98 x 5 24 O 2x 20x 2 0

Sketch the graph of the solution set of the system of inequalities Label the vertices of the region 6y 2 4x 2x 3y 5

13 Simplify cos 2x 5y cos 2x 5y

0 An elm tree that is 6 meters tall casts a shadow 8 meters long If a nearby redwood tree is 12 meters tall how long will the redwood tree s shadow be Write your answer as a whole number or a decimal Do not round meters

Solve for n 9n 19n 17 13

Write the coordinates of the vertices after a dilation with a scale factor of centered at the origin 10 8 6 4 2 104 8 6 4 H IN 2 2 6 E 2 4 6 00 8 G 10 F

7 8 6 17 5x 33 8 17 2 3x

7 5 2x 6 8 175 23 6 8 9 2x 3 17 2 3x

4 5 3x 10

3 2x 3 5

2 4 2x 10

Solve for the unknown 1

2 2 2 0 2 Ex 10 Find the x and y intercepts of this line and use them to graph it 3 7 3 Y X X int x 3y 3 9 y int IX 3 6

Ex 9 Find the x and y intercepts of this line and use them to graph it 3x 2y 6 0 To find u int 8

Ex 8 Rewrite this equation in slope intercept form 3x 5y 10 0 10 10 mx b 24 V

Directions A map uses a scale of 1 inch 30 miles The distance between various cities on the map are given below Find the actual distance between the cities 1 4 inches 5 miles My hand writing is shit 2 7 inches 11 miles 3 1 foot 189 miles 1 Directions A map uses a scale of centimeter 75 kilometers The actual distances between 2 various cities are given below Find the distance between the cities on the map 4 50 kilometers 5 280 kilometers 6 142 kilometers

8 Write an equation in standard form for the line that passes through B 1 3 and C 5 6 9 Write an equation in general form for the line that has a slope of 1 3 and passes through the point 4 6 A1334 x y 43

13 Rewrite these equations in slope intercept form and then graph the lines using the slope and y intercept a 2x y 8 Y ym X X b x 3y 6 y 2X 8 M Y2 Y X2 X1 z 6 29 y x 4 y 2x 3y 2X b olm

Identify the choice that best completes the statement or answers the question 1 Determine the slope of this line segment a b A N V A C d 7 2 B

Solve the system below by using Gauss Jordan Elimination This means convert the system to an augmented matrix put that matrix in reduced row echelon RRE form using row operations and determine the solution a Enter the RRE form of the augmented matrix RRE form of augmented matrix 1 2 4 2 0 0 0 0 0 0 0 0 4x 8y 16z 8 2x 4y 8z 4 3x 6y 12z 6 Correct Good Job 1 2 4 000 00 0 Preview 2 0 0 b Give the solution to the system If there is a unique solution enter it as an ordered triplet in the form x y z If there is no solution enter Inconsistent If there are free variables enter your answer as an ordered triplet in terms of the free variables Preview

Simplify Your answer should contai 2x y 4 4 3 x y x 3 A C 10 2y 2 2x21 2 B 4x 1 y 16x14 D 15 y

Find a polynomial function of least degree having only real coefficients a leading coefficient of 1 and roots of 1 3 1 3 and 7 1 The polynomial function is P x Simplify your answer

Part 1 of 2 Find the zeros of the function and then describe the behavior of the graph at each zero f x x 10x 25x The zero s is are Use a comma to separate answers as needed

POSSIBLE POINTS 1 The length of a pipe in a panpipe in feet is inversely proportion to its pitch p in hertz If the pitch is 25 hertz when the length of the pipe is 18 feet find the length of the pipe when the pitch is 90 hertz feet

Rewrite cos 2 tan 1 G 6 1 as an algebraic expression in u

7 Prove the following identities 4 marks a Sinxtanx secx cosx b Cos x sinx 1 cosx 1

A lithotripter machine uses an elliptical reflector to break up kidney stones nonsurgically A spark plug in the reflector generates energy waves at one focus of an ellipse The reflector directs these toward the kidney stone positioned at the other focus of the ellipse with enough energy to break up the stone as shown in the figure The lengths of the major and minor axes of the ellipse are 25 millimeters and 160 millimeters respectively How far is the spark from the kidney stone Round your answer to one decimal place mm Spark plug Elliptical reflector Kidney stone

Find the values of the variable that would make the statement true using the square root method x 1 18 0 O 17 1 3 2 O 17 2 2 or 4 2

11 x 6 10 13 1 x 15 2 x 8 3 9 4 5 Practice No Calculator 12 5 x 10 14 4 x 6 16 12 2x

7 2 x 6 3 7 9 11 4 X 3 5 8 x 1 25 2 10 2 x 1 3 9

4 If 12 5 2x what is the value of x rounded to the nearest tenth 5 If 3 4x what is the value of x 5 6 If x 4 what is the value of x 10

Submit Answer D 3 Points DETAILS PREVIOUS ANSWERS 14 d m A tree grows at an angle of 3 from the vertical due to prevailing winds At a point d 40 meters from the base of the tree the angle of elevation to the top of the tree see figure a Write an equation that you can use to find the height h of the tree h 40 MY NOTES D ASK YOUR TEACHER PRACTIC

7 The area of a square represented by m to the second power is greater than 25 units squared 8 Write the formula for the area of a trapezoid where the area is at most 100 square units

6 Blake had x dollars in his wallet gave 5 dollars to a friend and received 8 from another friend If Blake now has less than 7 how much money could Blake have started with

Step 4 Substitute it into the equation for x and y and solve for

Use a calculator to perform the indicated operation Give the answer in rectangular form TH 9 3 cis 7x 3 cis 756 0 9 Type your answer in the form a bi Use integers or decimals for any numbers in the expression Round to four dec places as needed

Perform each operation 2 3i 7 6i 7 5 6i 4 7i 8 10 9 3i 2 7i 9 3i

7x 35 2 x 7 10x x 7 D 3 7 2 11 x 2 8 8 10p 10 p 4p 5 A P S B P 5 10 C P S D P3 0 3 5 3 5 1

Consider the basis V V2 V3 for R where v 1 2 1 v 2 9 0 and v3 3 3 4 and let T R3 R be the linear transformation for which Find a formula for T X1 X2 X3 and use that formula to find T 5 24 5 T 5 24 5 T v 1 0 T v 1 1 T v3 0 1 IM Mi

4 Find cos A B from 3

Solve the equation Enter your answers as a comma separated list Round your answers to four decimal places 30 0 X 68x 64x

S I 350 at 4 for 5 years Find the Principle P

Calculate the remainder of the following division using modulo 2 Show the remainder in polynomial form 9 6 5 3 x X x x X 12 x 10 7 4 2 x x x x 2 X

4 3x 10x 3 2x 1