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2 years ago

Epress 4+3i/3-4i in form of a + bi .evaluate your final answer raised to power 6

1 answer:

7 0

Answer:(a) Express the complex number (4 −3i)3 in the form a + bi. (b) Express the below complex number in the form a + bi. 4 + 3i i (5 − 6i) (c) Consider the following matrix. A = 2 + 3i 1 + 4i 3 − 3i 1 − 3i Let B = A−1. Find b22 (i.e., find the entry in row 2, column 2 of A−1)

Step-by-step explanation:

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Karli's shadow is 60inches long. A nearby fire hydrant cast a shadow 40inches Long. If Kali is 48 inches tAll what is the height

Naily [24]

This question involves ratios.You will use them as fractions.

60:40

48:x

You will need to solve for x, so make fractions.

60/48 = 40/x

Now you'll cross multiply:

1920 = 60x

Divide both sides by 60.

1920/60 = 32.

The fire hydrant is 32 inches tall.

3 0

3 years ago

Find the diameter of a circle with an area of 226.98

andrey2020 [161]

Remember the formula of the area of a circle is:
$V = \pi * r^{2}$
SO given that
V = 226.98
and $\pi = 3.14$
Plug in a chug
226.98 = 3.14 * $r^{2}$
$r^{2}= 72.287$
r = 8.50

Remember that d = 2 * r
d = 2 * 8.5 = 17

3 0

3 years ago

HELP PLZ I REALLY NEED HELP

tigry1 [53]

Answer:

2.4 miles in total

Step-by-step explanation:

"this answer needs to be atleast 20 characters long"

4 0

2 years ago

Arjun and Jessica each improved their yards by planting daylilies and shrubs. They bought their

Anvisha [2.4K]

Hi there! Let me know if you have questions about my answer:

One shrub is $11.

One daylily is $4.

Step-by-step explanation:

To find the cost of each item, write a system of equations, one equation for what each person bought, and solve for each variable.

Define your variables.

let 'd' be the cost of one daylily

let 'r' be the cost of one shrub

Create a system using the variables and information from the question.

Write an equation for what Arjun bought:

5d + 7r = 97 5 daylilies, 7 shrubs, totaling $97

Write an equation for what Jessica bought:

2d + 11r = 129 2 daylilies, 11 shrubs, totaling $129

Solve the system.

I will solve the system algebraically, using the substitution method. Isolate one variable in one of the equations.

I will isolate 'd' in Jessica's equation:

$2d + 11r = 129$ Start with Jessica's equation

$\frac{2d + 11r}{2} = \frac{129}{2}$ Divide everything in the equation by 2

$d + \frac{11r}{2} = \frac{129}{2}$ Simplify

$d = \frac{129}{2} - \frac{11r}{2}$ Isolate 'd' by subtracting $\frac{11r}{2}$ from both sides.

Now you have an expression for 'd'.

Substitute Arjun's equation with the expression for 'd'. Solve for 'r' to find the cost of one shrub.

$5d + 7r = 97$ Start with Arjun's equation

$5(\frac{129}{2} - \frac{11r}{2}) + 7r = 97$ Substitute 'd' for $d = \frac{129}{2} - \frac{11r}{2}$

$\frac{5*129}{2} - \frac{5*11r}{2} + 7r = 97$ Distribute the 5

$\frac{645}{2} - \frac{55r}{2} + 7r = 97$ Simplify the numerators

$\frac{645}{2} - \frac{55r}{2} + \frac{14r}{2} = 97$ Change 7r to a fraction over 2

$\frac{645}{2} - \frac{41r}{2} = 97$ Combine like terms, the terms with 'r'

$\frac{645-41r}{2} = 97$ Simplify

$645-41r = 194$ Multiply both sides by 2

$-41r = 194-645$ Subtract 645 from both sides

$-41r = -451$ Divide both sides by –41

$r = 11$ Solved for cost of one shrub

Substitute 'r' for 11 using either Arjun's or Jessica's equation. Then, isolate 'd' to solve for the cost of one daylily.

I will use Arjun's equation.

$5d + 7r = 97$ Start with Arjun's equation

$5d + 7(11) = 97$ Substitute 'r' for r = 11

$5d + 77 = 97$ Simplify. Subtract 77 from both sides.

$5d = 20$ Divide both sides by 5.

$d = 4$ Solved for the cost of one daylily

I hope this helped! Check out a similar problem about solving systems here to learn more:

brainly.com/question/11103098

7 0

2 years ago

What is the width of a rectangle with an area of 5/8 inches and the length of 10 inches?

Nimfa-mama [501]

A = LW......W = A/L
A = 5/8
L = 10

W = (5/8) / 10
W = 5/8 * 1/10
W = 5/80 = 1/16

3 0

3 years ago

Epress 4+3i/3-4i in form of a + bi .evaluate your final answer raised to power 6​

Epress 4+3i/3-4i in form of a + bi .evaluate your final answer raised to power 6