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
15=7x+1-5x
Put like terms together. ( group anything alike)
15+1=16
7x-5x=2x
16 2x
—- ——-
2x 2x
2x/2x cancels itself out.
16 divided by 2 is 8
x=8
I hope this helped!
Answer:
D
Step-by-step explanation:
y_2 - y_1 / x_2 - x _1
4 - 2 / 3 - (-1) = 2/4 = 1/2
y +4 = 1/2 (x + 3) distributive property
y + 4 = 1/2x + 1.5
y= 1/2x - 5/2 subtraction (you subtract 4 from both sides) (-5/2 = -2.5)
therefore your equation is y = 1/2x - 5/2
hope this helps :)
Step-by-step explanation:
b. what is the perimeter of the rectangle in terms of k?
