Complex numbers Questions and Answers

2 If m VST 5x 23 and m VUT 8x 49 find mZSVT S WI Binbaup rope 200 000 U

X T 3x 7 8x Y Show Transcribed Text W what is the length of each segment in trapezoid TUVW UV

Graph the line y 3x 6 using the slope and y intercept Step by Step Solution Step 1 Identify the slope and y intercept of the line y 3x 6 The slope is m Type an integer or a fraction

Rewrite sec 54 in terms of its cofunction sec 54 0 Type an exact answer Simplify your answer Type any angle measures in degrees Do not include the degree symbol in your answer

Rewrite tan 12 in terms of its cofunction O tan 12 Type an exact answer Simplify your answer Type any angle measures in degrees Do not include

a 7 b 24 Suppose ABC is a right triangle with sides a b and c and right angle at C Use the Pythagorean theorem to find the unknown side length Then find the values of the six trigonometric functions for angle B Rationalize the denominators when applicable What is the length of side c Part 1 of 7 C Dints 0 of Simplify your answer including any radicals Use integers or fractions for any numbers in the expression

Find the exact value of sin 30 sin 30 Simplify your answer including any radicals Use integers or

Find the exact value of tan 45 tan 45 Simplify your answer including any radicals Use integ

Find the sum and product of the complex numbers 3 2i and 3 5i

Which expression is the completely factored form of x 8y6 o x 2y x 2xy 4y O x 2y x 2xy 4y O x 2y x 4y4 3 x 2y

Factor 2xy 5x 12y 30 Enter your answer in the box

Graph the linear equation by the point plotting method or by finding intercepts 8y 16 0 Use the graphing tool to graph the linear equation Click to enlarge graph C 2016 12 B 20 16 12 8 4 4 Ay 8 12 16

Find the slope of the line whose graph is given Q 6 4 2 6 2 2 4 16 00 0 3 2 50 G Select the correct choice below and fill in any answer boxes within your choice O A m Simplify your answer Type an integer or a fraction B The slope is undefined

ind the slope of the line to the right Step by Step Solution Step 1 Let one of the points be X Y and the other point be x2 Y2 19784 10 5 1 5 10 5 713

Solve for x Leave your answer in simplest radical form 16

About the sequence x kezt we have the following a x 1 B x b for each t to b t b MK b k 1 c xk Z is uniformly Cauchy on t b t b verification of these properties is left for the reader We consider the uniform limit of the sequence x 1 8 1 8 B x b which is given by x t lim x 1 1 l b to b Thus x 1 lim x f s 1 x 0 1 2 te t b t b k20 f s x s ds Finally the validity of this integral equation has the following two implications X t x s x s ds x 0 x lim ff s x s ds x lim f s x s ds x f f s lim x s ds x ff s x s ds Thus the function tx t satisfying the integral equation x 1 x f f s x s ds for all t te b 1 b dx 0 f f s x s ds f t X 1 dt This now proves that the curve X 1 8 4 82 thus obtained is a solution of the initial value problem

Write the expression in standard form 11 5i 1 i 11 5i 1 i

4 5i 2 5i 4 5i 2 5i Simplify your answer Type your answer in the form a bi Type an exact answer using rac

Click here to watch the video Divide 8 i 7i 8 i 73

Perform the indicated operation 2 4i 2 4i The answer is

Perform the indicated operation and simplify Write the answer in the form a bi 2 4i 5 4i 2 4i 5 4i CO IC

Write the expression as a complex number in standard form 2 25

Click here to watch the video Find the conjugate of the complex number 2 5i The conjugate of the complex number is

7 5i 5 4i 7 5i 5 4i Simplify your answer Tyne vo nswer in the form at your ans

Click here to watch the video Multiply 2 6i 5 4i 2 6i 5 4i

lick here to watch the video dd 4 2i 9 3i 4 2i 9 3i

Write the expression as a complex number in standard for 9 245 9 245 Simplify your answer Type your answer in the form a bi

Write the radical as a pure imaginary number 294 294

Fill in the blanks below so that the resulting statement is true If there is at least one edge connecting two vertices in a graph the vertices are called connecting them is called a If this sequence of vertices and connecting edges begins and ends at the same vertex it is called a A sequence of such vertices and the edges If there is at least one edge connecting two vertices in a graph the vertices are called connecting them is called a If this sequence of vertices and connecting edge A sequence of such vertices and the ed e same vertex it is called a connected equivalent

2 A ball was thrown vertically upward from the balcony of an apartment building The ball falls to the ground The height of the ball h metres above the ground after t seconds is given by the function h t 5t 15t 45 a Determine the m ximum height of the ball h t 57 15 45 5 1 3 45 5 T 3 00 45 5 T 3 0 5 1 25 45 5 1 0 5 1 46 25 2 b How long does it take the ball to reach its m ximum height 57 955 46 25 d How long after it was thrown will the ball be at 49 m high c How high is the balcony e Determine the domain and range of this function

graph has 56 even vertices and eight odd vertices Determine whether the graph has an Euler path but not an Euler circuit an Euler circuit or neither an Euler path nor an Euler circuit and explain why The described graph has an Euler circuit an Euler path but not an Euler circuit neither an Euler path nor an Euler circuit By Euler s theorem this is because the graph has more even vertices than odd vertices OOO more than two odd vertices more than two even vertices HI

Graph the linear equation 4x 5y 40 by finding its intercepts Step by Step Solution Step 1 Find the y intercept by letting x 0 and solving the equation for y 4x 5y 40 4 0 5y 40 0 5y 40 5y 40 y Let x 0 Divide both sides by 5

Suppose that y varies inversely as the 4th power of x and that y 25 when x 8 What is y when x 5 Round your answer to two decimal places if necessary Answer Correct y 2 Weypac Keyboard Shortcu

Use Fleury s Algorithm to find an Euler path Write an Euler path starting at A Use a comma to separate vertices as needed LL F E O B

Identify all edges on the graph that are bridges The edges are bridges to reparate answers as needed B

Use Fleury s Algorithm to find an Euler path CDDB A BECA C There are several Euler paths Choose the correct answer below OA AC A B C D D B E C OB CA B D D C E OC AC A B C D D B E C A E D WWW

Determine whether or not the equation is a linear equation in two variables 5x y 1 Only use the numbers from the given linear equation Select the correct choice below and if necessary fill in the boxes to complete your choice O A Yes the given equation is a linear equation in two variables It can be written in the form Ax By C whe A and C B OB No the given equation is not a linear equation in two variables It cannot be written in the form Ax By

1 Use the equation y 7 3x of the ordered pairs that satisfy the equation Complete the table X 9 y 10 5 Simplify your answers to complete the table Use the table to list some x y X 9 y 10 5 x y

Graph the equation by plotting points y 3x 9 Step by Step Solution Step 1 Find points x y that satisfy the equation To determine these points in this case choose the values of x and use the equation to determine the corresponding values of y Choose x 6 X 6 4 3 0 y 3x 9 y 3 9 y x y

For the following equation find the missing value in the ordered pain y 5x 9 A 24 B 2 C 8 A 24 B 2

Find an ordered pair that satisfies the equation 4x 5y 17 by letting x 3 The ordered pair is

Use the equation below and the indicated value to find an ordered pair that is a solution 3x 4y 10 Let y 1 The ordered pair is 1

Explain why the graph shown to the right has no Euler paths and no Euler circuits Choose the correct answer below A B H C G D F E O A By Euler s Theorem the graph has no Euler paths and no Euler circuits because it has an even number of odd vertices OB Ey Euler s Theorem the graph has no Euler paths and no Euler circuits because it has more than two odd vertices OC By Euler s Theorem the graph has no Euler paths and no Euler circuits because it has exactly two odd vertices

Use the graph on the right to find a Hamilton circuit that begins as A F Use a comma to separate vertices as needed

Determine whether or not the ordered pair satisfies the equation 4x 2y 8 A 0 1 B 2 0 Is A 0 1 a solution to the given equation Yes No C 1 1

Determine whether the graph has an Euler path an Euler circuit or neither If the graph has an Euler path or circuit use trial and error or Fleury s algorithm to find one a Choose the correct answer below O The graph has an Euler path but not an Euler circuit O The graph has an Euler circuit O The graph has neither an Euler path nor an Euler circuit CHI E The C B

Identify three edges in the graph that are bridges Then show the components of the resulting graph once each bridge is removed Click the icon to view the graph Edge DF is a bridge Edge CC is a bridge H H Edge CD is a bridge D OD Edge DE is a bridge Be F I I G H H

Find the equation of the line that contains the given point and satisfies the given information Write the equation in slope intercept form if possible Vertical line that contains 13 8 5 Select the correct choice below and if necessary fill in the answer box to complete your choice Simplify your answer Use integers or fractions for any numbers in the equation O A The equation of the line cannot be written in slope intercept form The equation of the line is B The equation of the line in slope intercept form is

Find the equation of the line described Write the equation in slope intercept form if possible Graph the line 4 7 and 4 1 Select the correct choice below and if necessary fill in the answer box to complete your choice Simplify your answer Use integers or fractions for any numbers in the equation O A The equation of the line in slope intercept form is OB The equation of the line cannot be written in slope intercept form The equation of the line is

Fill in the blank with the appropriate word A path that passes through each edge of a graph exactly one time is called a n A path that passes through each edge of a graph exactly one time is called a n path path Fleury Euler traversable