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aev [14]
2 years ago
6

A number less eleven algebraic

Mathematics
1 answer:
bonufazy [111]2 years ago
5 0

Let the variable n represent the number

\sf \longrightarrow \: n

  • Less eleven means subtract eleven from the variable

\sf \longrightarrow \: n - 11

<u>➪</u><em>Thus, The equation is (n-11)</em>

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Did I do these two correctly?
natka813 [3]
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3 years ago
Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar
Brrunno [24]

The distance between the two points is d=8.6m

The polar coordinate of A is \left(4.47,296.57\right)

The polar coordinate of B is \left(4.24,135\right)

Explanation:

The two points are A(2,-4) and B(-3,3)

The distance between two points is given by,

d=\sqrt{(2+3)^{2}+(-4-3)^{2}}\\d=\sqrt{(5)^{2}+(-7)^{2}}\\d=\sqrt{25+49}\\d=8.6

Thus, the distance between the two points is d=8.6m

The polar coordinates of A can be written as (Distance, tan^{-1} \frac{y}{x} )

Distance = \sqrt{x^{2} +y^{2} }

Substituting A(2,-4), we get,

Distance = \sqrt{2^{2} +(-4)^{2} }=\sqrt{4+16 }=4.47

tan^{-1} \frac{y}{x} =tan^{-1} \frac{-4}{2}=-63.43

To make the angle positive, let us add 360,

\theta=360-63.43=296.57

The polar coordinate of A is \left(4.47,296.57\right)

Similarly, The polar coordinate of B can be written as (Distance, tan^{-1} \frac{y}{x} )

Distance = \sqrt{x^{2} +y^{2} }

Substituting B(-3,3), we get,

Distance = \sqrt{(3)^{2}+(3)^{2}}=4.24

tan^{-1} \frac{y}{x} =tan^{-1} \frac{3}{-3}=-45

To make the angle positive, let us add 360,

\theta=180-45=135^{\circ}

The polar coordinate of B is \left(4.24,135\right)

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Answer: $150

Step-by-step explanation:

Becky spends 3/5 of her Money and is left with 2/5 of her money.

Hence 2 parts = $60

And 5 parts = $150

Becky has $150 at first.

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3 years ago
Write or draw to explain a way to find each sum 6+7, 8+4, 2+9
Aleonysh [2.5K]
The sum to 6+7 is 13 and the answer to 8+4 is 12 and the sum to 2+9 is 11
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