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Olenka [21]
2 years ago
7

Rewrite in rectangular form: r=5

Mathematics
1 answer:
SVETLANKA909090 [29]2 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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See explanation

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If the vertex of a parabola is (-4, 6) and another point on the curve is (-3, 14), what is the coefficient of the squared expres
Luda [366]
\bf \qquad \textit{parabola vertex form}\\\\\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array}\qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex\ (-4,6)\qquad 
\begin{cases}
h=-4\\
k=6
\end{cases}\implies y=a(x-(-4))^2+6
\\\\\\
y=a(x+4)^2+6
\\\\\\
\textit{we also know that }
\begin{cases}
x=-3\\
y=14
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solve for "a"
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