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3 years ago

10

Mathematics

1 answer:

mote1985 [20]3 years ago

6 0

Answer: The equation that represents the other equation is $y=\dfrac{1}{3}x+5$ .

The solution of the system is (3,6).

Step-by-step explanation:

Linear equation: $y=mx+c$ , where m= slope

c = y-intercept.

In the first table, the y-intercept = 5 [ y-intercept = value of y at x=0.

Slope for first table = $\dfrac{y_2-y_2}{x_2-x_1}=\dfrac{6-5}{3-0}=\dfrac{1}{3}$

The equation that represents the first table:

$y=\dfrac{1}{3}x+5$

So, the equation that represents the other equation is $y=\dfrac{1}{3}x+5$ .

Also, the solution of the system is the common point (x,y) that satisfy both equations in the system.

Here, x=3 and y=6 is the common value in both tables.

So, the solution of the system is (3,6).

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2 years ago

A man standing on level ground is 1000 feet away from the base of a 350-foot-tall building. Find,

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3 years ago

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2 years ago

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2 years ago

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De moirve's (√3-i ÷ √3+i)^6 = 1

bulgar [2K]

(√3 - i ) / (√3 + i ) × (√3 - i ) / (√3 - i ) = (√3 - i )² / ((√3)² - i ²)

… = ((√3)² - 2√3 i + i ²) / (3 - i ²)

… = (3 - 2√3 i - 1) / (3 - (-1))

… = (2 - 2√3 i ) / 4

… = 1/2 - √3/2 i

… = √((1/2)² + (-√3/2)²) exp(i arctan((-√3/2)/(1/2))

… = exp(i arctan(-√3))

… = exp(-i arctan(√3))

… = exp(-iπ/3)

By DeMoivre's theorem,

[(√3 - i ) / (√3 + i )]⁶ = exp(-6iπ/3) = exp(-2iπ) = 1

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2 years ago