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3 years ago

The equations in the system below are equivalent.

Mathematics

2 answers:

Fynjy0 [20]3 years ago

5 0

Equivalent systems = same line = infinite solutions

Feliz [49]3 years ago

5 0

Answer:

this a quiz question here is your Answer D.) or an infinite number of solutions

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weeeeeb [17]

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Step-by-step explanation:

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3 years ago

Which is an advantage of using a credit card? You can make purchases even when you don't have cash. You don't indulge in impulse

mamaluj [8]

You can make purchases even when you don't have cash

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3 years ago

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Savannah bought a book for 85% of the original price. By what percent of the price was the book reduced

agasfer [191]

Answer:

15%

Step-by-step explanation:

100-85=15

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85%= price she bought it for

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3 years ago

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What is the third term of the expression<br> 4x+8y+12xy

mash [69]

Answer:

12xy

Step-by-step explanation:

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2 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 $\left(4.24,135\right)$

5 0

3 years ago