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2 years ago

6. Describe, step-by-step how to find the slope of a line through two points.

Mathematics

1 answer:

Margarita [4]2 years ago

5 0

Answer:

Step-by-step explanation:

The slope is the difference in y-coordinates of the 2 points divided by the corresponding difference in x-coordinates.

For example:

Find the slope of the line joining the points (3, 5) and (-2, 1)

The slope = (5 - 1) / (3 - (-2))

= 4/(3+2)

= 4/5.

NOTE:

You would get the same result if you reversed the values

- that is (1 - 5)/(-2 - 3

= -4/-5

= 4/5.

The important thing to remember is to use <em>corresponding </em>values in the calculation.

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Use DeMoivre's Theorem to find (3cis*pi/6)^3

Sonbull [250]

The correct value of (3cis(pi/6))³ is 27i.

<h3>What is Complex Number?</h3>

Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.

Given the complex number in polar coordinate expressed as

z = r(cos∅+isin∅)

zⁿ = {r(cos∅+isin∅)}ⁿ

According to DeMoivre’s Theorem;

zⁿ = rⁿ(cosn∅+isinn∅)

Given the complex number;

(3cis(pi/6))³

= {3(cosπ/6 + isinπ/6)}³

Using DeMoivre’s Theorem;

= 3³(cos3π/6 + isin3π/6)

= 3³(cosπ/2 + isinπ/2)

= 3³(0 + i(1))

= 27i

Thus, the correct value of (3cis(pi/6))³ is 27i.

Learn more about Complex number from:

brainly.com/question/10251853

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7 0

1 year ago

A 1×6 square unit rectangular grid has to be covered with six 1×1 square unit tiles. Three of the tiles are yellow, two are whit

Scilla [17]

Answer:

Step-by-step explanation:

3 0

2 years ago

P(x) = 3x2 - 7x + 11, find P(9).

nadya68 [22]

You need to substitute 9 with every x value in the equation.
So, 3(9)^2-7(9)+11
p(x)= 191

6 0

2 years ago

Read 2 more answers

If AD and BD are bisectors of CAB and CBA respectively. Find the sum of angles x and y.

olchik [2.2K]

The picture in the attached figure

step 1
we know that
It is given that AD and BD are bisectors of ∠CAB and ∠CBA respectively.
Therefore,
x = ∠CAB/2 -----> equation 1
y = ∠CBA/2 -----> equation 2

step 2
In triangle ABC,
∠CAB + ∠CBA + ∠ACB = 180° ----> [The sum of all three angles of a triangle is 180°]
∠CAB + ∠CBA + 110° = 180°
∠CAB + ∠CBA = 180° - 110°
∠CAB + ∠CBA = 70° ------> divide by 2 both sides
∠CAB/2 + ∠CBA/2 = 70/2 -------> equation 3
substitute equation 1 and equation 2 in equation 3
x+y=35

hence

the answer is
x+y =35°
⇒ x + y = 35° ...[From equation (1) and (2)]

5 0

3 years ago

Which of the following point-slope form equations could be produced with the points (2, -3) and (-2, 3)?

liubo4ka [24]

Y - Y2 = M(x-x2)
M = (-3/2) or (3/-2)
Y -(-3) = (-3/2) (X-2)
Y + 3 = (-3/2)(X-2)

3 0

2 years ago