Answer: 7.5
Step-by-step explanation:
Answer:
- <em><u>5.6875 in</u></em>
Explanation:
At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).
Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)
I tried to upload the drawing but the tool is not allowing it now.
In the figure:
- The length of the tangent (6 in) is one leg of the triangle
- The distance from vertex and the circle (2.75in) along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
- The other leg is the radius, r.
Then, you can use Pythagorean theorem:
Solve:
- r² + 36 = r² + 5.5r + 7.5625
The solution is in inches: r = 5.6875 inches ← answer
Shifts:
Shifted three units right and two units up to match the blue parabola
Stretches:
It doesn't have any stretches
Symmetry:

x and y intercepts:
x intercpets: It has no x-intercepts
y-intercepts: (0, 11)
<h2>
Explanation:</h2>
The pattern of the quadratic function is:

Whose graph is shown below as the red parabola.
So here we need to identify some characteristics of:

Whose graph is shown below as the blue parabola.
As you can see, the blue parabola is a transformation of the red parabola. The rule is as follows:
- The red parabola has been shifted three units right and two units up to match the blue parabola.
This is so because, for any function:

We have the following transformations:

On the other hand, the blue graph has neither stretches nor x intercepts. Finally, its axes of symmetry is
. The y-intercept is (0, 11) is indicated in the figure.
<h2>Learn more:</h2>
Shifting graphs: brainly.com/question/10010217
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