Step-by-step explanation:
move the 27 to the other side of the equation like this
use this equation and substitute it into the y value of the first equation
Answer:
the slope of the line is 4
m = 4
y-intercept is -8
y = 4(0) - 8 = 0 - 8 = -8
They are actually asking for 1.5 and -2 so the answer will be coordinated at approximately half past 1 and on -2 which is located on the right lower quadrant
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
