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PIT_PIT [208]
2 years ago
12

Which is the equation of a circle whose center is at the origin and that passes through the point (3, 5)?

Mathematics
2 answers:
xxTIMURxx [149]2 years ago
7 0

Answer:

x² + y² = 34

Formula:

  • (x - h)² + (y - k)² = r²                    where (h, k) is the center

<u>Here find the radius using distance formula</u>:                → origin : (0, 0)

  • √(x2-x1)²+(y2-y1)²
  • √(3-0)²+(5-0)²
  • √9+25
  • √34

<u>Thus the equation of circle</u>:

  • (x - 0)² + (y - 0)² = (√34)²
  • (x - 0)² + (y - 0)² = 34
  • x² + y² = 34

AleksAgata [21]2 years ago
4 0

Answer:

H.  x^2+y^2=34

Step-by-step explanation:

<u>Equation of a circle (in standard form)</u>

<u />(x-h)^2+(y-k)^2=r^2

(where (h, k) is the center and r is the radius of the circle)

Given center = (0, 0):

\implies (x-0)^2+(y-0)^2=r^2

\implies x^2+y^2=r^2

As the circle passes through point (3, 5):

\implies 3^2+5^2=r^2

\implies r^2=34

<u>Final equation</u>

<u />x^2+y^2=34

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A group of 12 students is deciding whether to go to the science center or the zoo. Science center tickets are 3 for $36.75 and z
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ANSWER:

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For 1 and 2, use integer values of x from -3 to 3 to graph the equation
garri49 [273]
This would be an upside down parabola with a vertex at (0, 3).

To complete the chart, just plug x into the equation and evaluate.

Here is the completed table:

x      y
-3    -15
-2    -5
-1    1
0     3
1     1
2     -5
3     -15

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3 years ago
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Read 2 more answers
12. Let yo = O. Write parametric equations to represent the path of the ballsthrown by Sami and T'Aisha given the following cond
ira [324]

SOLUTION:

We want to write the x and y parametric equation for Sami and T'Aisha given their following data.

\begin{gathered} Sami:v_0=15\frac{ft}{s},\theta=35^o,y_0=5.4ft \\ T^{\prime}Aisha:v_0=19\frac{ft}{s},\theta=50^o,y_o=5.8ft \\ x_0=0 \end{gathered}

The parametric equations for x and y are given by;

\begin{gathered} x(t)=x_0+(v_0cos\theta)t \\ y(t)=y_0+(v_0sin\theta)t+0.5gt^2 \end{gathered}

Inserting, the values, we have; For Sami;

\begin{gathered} Sami: \\ x\left(t\right)=15cos35t, \\ y\left(t\right)=5.4+15sin35t-16t^2 \end{gathered}

For T'Aisha;

\begin{gathered} T^{\prime}Aisha: \\ x\left(t\right)=19cos50t, \\ y\left(t\right)=5.8+19sin50t-16t^2 \end{gathered}

4 0
1 year ago
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