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2 years ago

What is the definition of “i”? What do we use it for? Demonstrate with an example of your own.

Mathematics

1 answer:

lyudmila [28]2 years ago

6 0

Answer:

The letter "i" is used to signify that a number is an imaginary number.

Step-by-step explanation:

An imaginary number is one that gives a negative result when squared. This differs from when you square real numbers where you always get a positive result. For example:

i = √-1

Imaginary numbers can be especially useful when trying to find the square root of a real negative number such as -16. Normally we cannot find the square root of -16 but through the use of imaginary numbers we can:

√-16 = 4i

~Hope this helps!~

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Write an equation in slope-intercept form of the line with the parametric equations x=2t and y=1-t

pentagon [3]

Answer: -x/2 + 1

Step-by-step explanation:

write t in terms of x

x = 2t

t = x/2

substitute t in y

y = 1 - t

y = 1 - x/2 or -x/2 + 1

6 0

2 years ago

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Which side lengths form a right triangle? Choose all answers that apply: Choose all answers that apply: (Choice A) A 3, 6, \sqrt

dlinn [17]

Answer:

A, B and C

Step-by-step explanation:

Given any three side lengths of a right triangle, the longest side is the hypotenuse.

The side lengths of a right triangle must satisfy the Pythagorean Theorem.

Pythagorean Theorem: $Hypotenuse^2=Opposite^2+Adjacent^2$

Option A: $3, 6, \sqrt{45}$

$(\sqrt{45})^2=3^2+6^2\\45=36+9\\45=45$

True

Option B: 2.5, 6, 6.5

$6.5^2=6^2+2.5^2\\42.25=36+6.25\\42.25=42.25 (TRUE)$

Option C: $4, 8, \sqrt{80}$

$4, 8, \sqrt{80}\\( \sqrt{80})^2=4^2+8^2\\80=16+64\\80=80 (TRUE)$

Since all are true, the side lengths in Options A, B and C forms a right triangle,

4 0

3 years ago

Javier is considering two lawn care services. Premier Landscaping charges $15.00 for travel to the job site and $55.00 per hour

Wittaler [7]

Answer:

Time in which both companies charge same cost = 1.5 hour

Step-by-step explanation:

Given:

Fixed Variable

Premier Landscaping charges $15 $55

Ace Landscaping charges $65

Find:

Time in which both companies charge same cost:

Computation:

Assume in X time both companies charge same cost:

So,

Premier Landscaping total cost = Ace Landscaping total cost

⇒ $15 + $55(Time taken) = $65 (Time taken)

⇒ $15 = $65 (Time taken) - $55(Time taken)

⇒ $15 = $10 (Time taken)

⇒ Time taken = 1.5 hour

Time in which both companies charge same cost = 1.5 hour

6 0

3 years ago

Alicia drives her car 287.5 miles in 5 hours. What is the constant of proportionality that relates the total number of miles, y,

Sphinxa [80]

Answer:

57.5

Step-by-step explanation:

The constant of proportionality is "k" in the equation ...

y = kx

It can be found from values of x and y using ...

k = y/x

For the given values, it is ...

k = (287.5 mi)/(5 h) = 57.5 mi/h

The constant of proportionality relating miles to hours is 57.5.

5 0

3 years ago

an aquarium holds 33.75 gallons of water. it has a length of 2 feet and a height of 1.5 feet what is the width of the aquarium

kolezko [41]

33.75 = 2*1.5*x
33.75 = 3x
x = 11.25 feet

6 0

2 years ago

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