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2 years ago

18. Suppose the line through points (x,6) and (1,2) is parallel to the graph of 2x + y = 3. Find the value

Mathematics

1 answer:

DaniilM [7]2 years ago

5 0

Answer:

so, the line passes through point(-1,6)

Step-by-step explanation:

i hoop this is what you where asking for

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A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeter,in cm, of the rectangle?

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3 years ago

It asks for the Median. I.R and the range

shutvik [7]

Answer:

Median 69

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3 years ago

Round 12.511 to the nearest TENTHS

netineya [11]

Answer:

Step-by-step explanation:

That would be 12.5 because 12.51 is closer to 12.50 than it is compared to 12.6.

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3 years ago

Which expression is a fourth root of -1+isqrt3?

aleksklad [387]

Answer:

Step-by-step explanation:

$\sf n^{th}$ roots of a complex number is given by DeMoivre's formula.

$\sf \boxed{\bf r^{\frac{1}{n}}\left[Cos \dfrac{\theta + 2\pi k}{n}+i \ Sin \ \dfrac{\theta+2\pi k}{n}\right]}$

Here, k lies between 0 and (n -1) ; n is the exponent.

$\sf -1 + i\sqrt{3}$

a = -1 and b = √3

$\sf \boxed{r=\sqrt{a^2+b^2}} \ and \ \boxed{\theta = Tan^{-1} \ \dfrac{b}{a}}$

$\sf r = \sqrt{(-1)^2 + 3^2}\\\\ = \sqrt{1+9}\\\\=\sqrt{10}$

$\sf \theta = tan^{-1} \ \dfrac{\sqrt{3}}{-1}\\\\ = tan^{-1} \ (-\sqrt{3})$

$\sf = \dfrac{-\pi }{3}$

n = 4

For k = 0,

$\sf z = \sqrt[4]{10}\left[Cos \ \dfrac{\dfrac{-\pi}{3} +0}{4}+iSin \ \dfrac{\dfrac{-\pi}{3}+0}{4}\right] \\\\\\z= \sqrt[4]{10} \left[Cos \ \dfrac{ -\pi }{12}+iSin \ \dfrac{-\pi}{12}\right]\\\\\\z = \sqrt[4]{10}\left[-Cos \ \dfrac{\pi}{12}-i \ Sin \ \dfrac{\pi}{12}\right]$

For k =1,

$\sf z = \sqrt[4]{10}\left[Cos \ \dfrac{5\pi}{12}+i \ Sin \ \dfrac{5\pi}{12}\right]$

For k =2,

$z = \sqrt[4]{10}\left[Cos \ \dfrac{11\pi}{12}+i \ Sin \ \dfrac{11\pi}{12}\right]$

For k = 3,

$\sf z = \sqrt[4]{10}\left[Cos \ \dfrac{17\pi}{12}+i \ Sin \ \dfrac{17\pi}{12}\right]$

For k = 4,

$\sf z =\sqrt[4]{10}\left[Cos \ \dfrac{23\pi}{12}+i \ Sin \ \dfrac{23\pi}{12}\right]$

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2 years ago

If a point is the midpoint of a segment, then it divides the segment into two congruent segments. R is the midpoint of QS. Concl

DIA [1.3K]

Answer:

All given information leads to conclusion described on statement. ( $QR = RS$ )

Step-by-step explanation:

The strategy of problem consist in make a mathematical demonstration from given information. There are two assumptions: i) $R$ is a point of segment $QS$ and ii) $R$ is the midpoint of $QS$ . We proceed to perform the demonstration:

1) $R\in QS$ , $R$ is the midpoint of $QS$ . Given.

2) $Q - R = R -S$ Definition of midpoint.

3) $QR = RS$ Definition of segment/Result.

All given information leads to conclusion described on statement. ( $QR = RS$ )

8 0

3 years ago