Type the correct answer in each box. If z =-1-13i and 26 = a+bi, then a = and 6 =

Q: Perform the indicated operations. (4 -5 i )(2- i)-(3- i )(3+ i) (4 - 5 i )(2 - i)-(3- i)(3+ i)=|…

A:

Q: In which quadrant does the sum of 2 + 3i and 3 – 5i lie? (1) I (2) II (3) III (4) IV

A: In the complex plane, for a complex number , where represents the real part and   represents the…

Q: Simplify each expression. (3+4i) + (7 – 2i) b. (3+5i) a.

A:

Q: Use telescoping to find the value of: 500+8 1 1 Σ 26i- 58 i=2 26i + 104 – 58

A: Using the telescoping to find the sum of the given series.

Q: Find the magnitude of v. v = −9j

A:

Q: Evaluate the expression (3 + 4i)( – 2 – i) and write the result in the form a + bi.

A: We will multiply it directly.

Q: Type the correct answer in each box. 21 = 3 cis 7 and 5 cis () %3D If z1 x z2 = a + bi then a = and…

A:

Q: The value of +2i+1 is i-1 139 146 124 90

A: Given that  ∑i=16i2+2i+1

Q: Use the law of cosines to determine the length x in each figure when a = 6 cm and b = 16 cm. Leave…

A: Law of cosines  a2=b2+c2−2bc⋅cosAb2=a2+c2−2ac⋅cosBc2=a2+b2−2ab⋅cosC

Q: State if each triangle is a right triangle & use the formula c=a+b

A: In the given triangle we have: The lengths of the three sides of the triangle are 12 m, 9 m and 15…

Q: If A = -9 + 5i and B = 4 – 3i, find А- В

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: the figure to find BA U BC. F A B.

A: In this question, the concept of Union is applied. Union The union of two or more vectors results in…

Q: Write each of the given numbers in the form a+bi : (a) e^(−iπ/4) (b) e^(1+i3π)/e^(−1+(iπ/2)) (c)…

A: (a) Given, Z=e-iπ4 We have, eiθ=cosθ+isinθ So,  e-iπ4=cos-π4+isin-π4         = -12-i12…

Q: Perform the indicated operation (-1 + i√3)(-1 + i√3)(-1 + i√3) and write the result in the standard…

A:

Q: Find the principal values of the following. The answer must be rectangular form. 3.) j1+2j

A:

Q: INSTRUCTIONS. Find each variable from the following triangles. 6x° 50°

A:

Q: INSTRUCTIONS. Find each variable from the following triangles. 125°/x° z°

A:

Q: Divide and write the answer in the form a + bi. 3 + 2i 4 - i

A:

Q: Solve each triangle ABC that exists. A= 42.5° a = 8 m b=10.9 m

A:

Q: A ________ number has the form a + bi, where a ≠ 0, b = 0

A:

Q: If a # B and of = 5α-3 and 3² = 5ß-3, find the equation whose roots are alß and Bla.

A:

Q: Solve each triangle ABC that exists. B= 35°00' a-38,4 b=30.9

A:

Q: Write each of the given numbers in the form a + bi : e3i – e-3i (a) 2i i, (b) 8e(8+) i, (c) e i. +

A:

Q: 2. Write each of the given numbers in the form a+bi : eAi – e-4i (a) 2i + (b) 5e(6+§) + i, (c) .+-

A: To write the numbers in the form of a+ib

Q: DRAW AND SOLVE EACH TRIANGLE 1. A= 40°, B = 20°, a = 2 2. A = 40°, B = 40°, c = 2 3. a = 3, b = 2, A…

A: Question(1):   angel A = 40 degree , angle B = 20 degree and a = 2   and we have to find the other…

Q: Find a + b, 2a + 3b, |a|, and |a − b|. a = 5i + j,    b = i − 2j

A: Obtain a + b, 2a + 3b and |a| as follows.

Q: Solve each triangle. В 13 134° 12 C 95° C В 22 20

A:

Q: Perform the indicated operations, writing the result in standard form: a. (5 - 2i) + (3 + 3i) b. (2…

A: Perform the operation

Q: the value of each variable. 72° to 22°

A: Given that:

Q: Perform all operations. Give the answer in a + bi form. (14 + 2i) – (19 – 2i) |

A:

Q: Write each of the given numbers in the form a + bi : e3i - e-3i (a) 2i -0.2794 + 0 i, (b) 3e(3+4) +…

A: Consider

Q: Find the value of A if a =100 ; c=100sqrt2 ; C=45 degrees

A:

Q: . Find the value ofx in the following right triangle.

A:

Q: Find all solutions for each triangle. If no solution exists, write none. Round to the nearest tenth.…

A:

Q: Divide and write the answer in the form a + 3 – 7i 2 + 5i bi.

A: To write the given expression in the form (a+bi).

Q: Perform the indicated operation. Write the answer in the form a+bi. 5) 8 +9i 3-i

A: (8+9i)/(3-i) here multiply above and below by 3+i (8+9i)(3+i)/(3-i)(3+i) (24 +8i+27i -9)/(9…

Q: Consider the figure. Find AB if BC = 4, BD = 5, and AD = 4. AB = В A D C

A:

Q: Find a and b such that a, b are real numbers andi 32 6 www = a + b/2 3y2

A: RATIONALIZING THE GIVEN EQUATIONS LEFT HAND SIDE. Rationalization generally means to multiply a…

Q: Find the magnitude of v . v = 3i + 3j

A: Given: v=3i+3j we know that magnitude of vectorv=ai+bj is given by v=a2+b2…

Q: 2. | Write each of the given numbers in the form a+bi : e4i – e-4i (а) 2i (b) 5e(6+) + (c) e

A: The given numbers area)e4i-e-4i2ib)5e6+iπ6c) e9eiπ3

Q: Multiply (4-3i)(4+3i) and write the final answer in the phone a+bi

A: The given data is: 4-3i4+3i To write the final answer in the form of a+ib

Q: Convert into degrees and determine into which quadrant do they lie. 8.  (23 1/6) pi 9. (128 3/4)…

A:

Q: A. Solve each right triangle. 30 50°

A: Given a right triangle JKL right angled at K, ∠ LJK = 50∘  Therefore, ∠ JLK = 180∘ - 90∘ - 50∘ = 40∘…

Q: Write each of the given numbers in the form a + bi : (a) e- i, e(1+i27) (b) el-1+) i, (c) ee i.

A:

Q: 20 21

A: To find the value of x, y, and z in the following right triangle

Q: Write the given numbers in the form a + bi where a, b ∈ R. (i) (−2 + 2i)5

A: In this question we we use (a+b)^2=a^2+b^2+2ab . we know that i^=-1.

Q: 2) (-5 +2i) (7i)

A:

Q: If a = -4 - 5i and b= 2x, then find the value of a b in fully simplified form. Answer:- Submit…

A: Given: ------------------------------------------ To determine: simplified expression.

Q: -4i eti – e (a) 2i +

A: