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3 years ago

Rewrite in rectangular form: r=5

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

6 0

Answer:

x ^2+ y^ 2 = 25

Step-by-step explanation:

Square both sides:

r ^2 = 5^ 2

Substitute x ^2 + y^ 2 for r ^2 :

x ^2+ y ^2 = 5 ^2

Insert the center -0 into the x and y terms:

( x − 0 )^ 2 + ( y − 0 ) ^2 = 5 ^2

This is the standard form for a circle whose center is ( 0, 0 ) and the radius is 5.

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Step-by-step explanation:

Step one:

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3 years ago

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$x = y - 6.4$

Steps :

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3 years ago

100 Points

atroni [7]

$\left\{\begin{array}{ccc}ax+by=c\\ax+by=c\end{array}\right\Rightarrow\text{coincident}\\\\\left\{\begin{array}{ccc}ax+by=c\\ax+by=d\\c\neq d\end{array}\right\Rightarrow\text{inconsistent}\\\\\left\{\begin{array}{ccc}ax+by=c\\dx+ey=c\\a\neq d\ or\ b\neq e\end{array}\right\Rightarrow\text{consistent independent}$

$\left\{\begin{array}{ccc}x+5y=-2\\x+5y=4\end{array}\right\Rightarrow\boxed{\text{inconsistent}}\\--------------------------------\\\left\{\begin{array}{ccc}y=3x+4&\text{subtract 3x from both sides}\\-2x+y=4\end{array}\right\\\\\left\{\begin{array}{ccc}-3x+y=4\\-2x+y=4\end{array}\right\Rightarrow\boxed{\text{consistent independent}}\\-----------------------------\\\left\{\begin{array}{ccc}3x+y=4\\-6x-2y=-8&\text{divide both sides by (-2)}\end{array}\right\\$

$\left\{\begin{array}{ccc}3x+y=4\\3x+y=4\end{array}\right\Rightarrow\boxed{\text{coincident}}$

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3 years ago

Read 2 more answers

4) If the area of a triangle is

MA_775_DIABLO [31]

The formula for finding the area of a triangle is 1/2 base * height = area. In this case, we know the area and the base. Let's say the variable h represents height. We fill in the area and base with our known values to get 1/2 (30) * h = 450. Then, we solve. Half of 30 is 15, so 15h is equivalent to 450. Then, divide both sides by 15 to get h is equivalent to 30. To double check, fill in the base and area, and the newly found height. If the values make the equation make sense, the height is right. 1/2 (30) * 30 = 450. 15 * 30 is 450, so the height is 30 inches.

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3 years ago