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3 years ago

Let r= (4+i) and s= 1-i. What is the value of r2-s?

Mathematics

1 answer:

Verizon [17]3 years ago

3 0

Answer:

r^2 - s = 14 + 9i

Step-by-step explanation:

r^2 = 4^2 + 8i + i^2

r^2 = 16 + 8i - 1

r^2 = 15 + 8i

r^2 - s = 15 + 8i - (1 - i)

r^2 - s = 15 + 8i - 1 + i

r^2 - s = 14 + 9i

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A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses

Greeley [361]

Answer:

The original duration of the tour is 18 days.

Step-by-step explanation:

Let

the number of days spent be T

Daily expenses be D

Initially ,

total tour expenses was 360

$D \times T=360$

$D = \frac{360}{T}$ -------------(1)

If he extends his tour for 4 days, he has to cut down his daily expenses by dollar 3

$(D + 4) \cdot(T -3) = 360$ ---------------(2)

Expanding the eqaution(2)

DT-3D + 4T -12 = 360

Substituting the value of D

$(\frac{360}{T})T -3( \frac{360}{T}) + 4T -12 = 360$

$(\frac{360}{T})T -3( \frac{360}{T}) + 4T= 360 + 12$

$(\frac{360}{T})T -3( \frac{360}{T}) + 4T= 372$

$360 - ( \frac{1080}{T}) + 4T= 372$

$( \frac{1080}{T}) + 4T= 372 - 360$

$( \frac{1080}{T}) + 4T= 12$

$1080 + 4T^2= 12T$

Solving the quadratic equation we get

T = 18 and T = -15

T is the number of gays and it cannot be negative , hence T is 18

Substituting in equation (1) we get

$D = \frac{360}{18}$

D = 20

4 0

3 years ago

Solve for s. write answers as integers or as proper or improper fractions in simplest form.

Rudik [331]

Answer:

+10 or -10

Step-by-step explanation:

square root both sides

8 0

2 years ago

Find the volume of the figure

omeli [17]

Answer:

1920 ft^3

Step-by-step explanation:

Split it in 2.

14*8*10 and 10*10*8

14*10*8 = 1120

10*10*8 = 800

800 + 1120 = 1920

5 0

3 years ago

Find the slope of the line passing through the given points.

deff fn [24]

Answer:

<h3>The answer is - 3</h3>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

From the question we have

$m = \frac{8 - 5}{ - 8 - - 7} = \frac{3}{ - 8 +7 } = - \frac{3}{1} = - 3 \\$

We have the final answer as

Hope this helps you

5 0

3 years ago

If you were asked to solve a system of linear equations using the substitution method, in what form would one or both of the equ

elena55 [62]

Answer:

It'd be easist if one of the variables was by itself

Step-by-step explanation:

I.E: y=2x+4 and 2y+x=23

4 0

3 years ago

Read 2 more answers