Here are the steps.
In order to get the answer, first we need to get the x and y value of the center of the circle by using the equation of a circle (x^2 + y^2 = r^2)
<span>The center is (-9, -4)</span>
Once you get the center point, find the equation of the line (in a form of a radius) from the center point to point (2, -1). Get the slope.
The slope from center to point (2, -1) is 11/3
Finally, get the negative reciprocal of the slope from the previous step and form the equation using slope-intercept form ( y=mx + b). Then, that's the equation of the tangent line.
The slope of the tangent line is -3/11
The equation is y = -3/11x - 5/11
Answer:
They can bike 7.2 miles in 30 minutes.
Step-by-step explanation:
2.4 * 3 = 7.2
34/40 = 17/20 in fraction form
& 0.85 in decimal form
Answer:
x = 7
Step-by-step explanation:
Notice that in the triangle, the angle is either known or in terms of x. This means we can make an equation: 82 + (9x - 6) + (6x - 1) = 180. Now, add up tthe terms to get 15x + 75 = 180, or 15x = 105 or x = 7.
<span>2 times 10 squared to the second power in standard notation
2 x(10^2)^2
=2x10^4
=20000</span>
