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Natalija [7]
3 years ago
15

What is the equation of the circle shown below?​

Mathematics
1 answer:
atroni [7]3 years ago
3 0

Step-by-step explanation:

Equation of circle: (x + 2)² + (y - 2)² = r²

Radius of the circle is 3 (from -2 to 1).

Hence we have

(x + 2)² + (y - 2)² = 3² or (x + 2)² + (y - 2)² = 9.

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The tape diagram represents an equation.
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The answer is B) 16=4y
7 0
2 years ago
What’s the value of x
stiks02 [169]

Answer:

Step-by-step explanation:

Pythagorean theorem:

x² + x² = (9√2)²

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x² = 81

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4 0
2 years ago
Y=-x^2+6x-4<br> Find the Axis of Symmetry and the Vertex, Also solve the whole equation.
Inessa [10]

Answer:

1. <em>Axis of symmetry</em>: x = 3

2. <em>Vertex:</em> (3,5)

3. <em>Solution of the equation</em>:

<u />

  • x-intercepts:

               (3-\sqrt{5},0) \\\\(3+\sqrt{5},0)

  • y-intercept: (0, -4)

Explanation:

<u>1. Equation:</u>

    y=-x^2+6x-4

<u>2. </u><em><u>Axis of symmetry:</u></em>

That is the equation of a parabola, whose standard form is:

                 y=ax^2+bx+c

Where:    

                 a=-1;b=6;c=-4

The axis of symmetry is the vertical line with equation:

               x=-b/2a

Substitute  a=-1,\text{ and }b=6

          x=-6/[(2)(-1)]=-6/(-2)=3

Thus, the axis of symmetry is:

            x=3

<em><u>3. Vertex</u></em>

<em><u /></em>

The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.

To find the y-xoordinate, substitute this value of x into the equation for y:

               y=-x^2+6x-4\\\\y=-(3)^2+6(3)-4=-9+18-4=5

Therefore, the vertex is (3, 5)

<u>4. Find the x-intercepts</u>

The x-intercepts are the roots of the equation, which are the points wher y = 0.

        y=-x^2+6x-4=0

Use the quadratic equation:

       x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\\\x=\frac{-6\pm\sqrt{(-6)^2-4(-1)(-4)} }{2(-1)}\\\\x_1=3-\sqrt{5} \\\\x_2=3+\sqrt{5}

<u>5. Find the y-intercept</u>

<u />

The y-intercet is the value of y when x=0:

         y=-x^2+6x-4\\\\y=-(0)^2+6(0)-4=-4

7 0
3 years ago
Which of the following is an improper fraction?
Mnenie [13.5K]

Answer:

8/7

Step-by-step explanation:

8/7 because the numerator is greater than the denominator.

6 0
3 years ago
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