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:
so i think it is rst on the right
Answer:
The volume of a sphere is 2/3 times the volume of a similar cylinder
Scale factor : 2/3
Step-by-step explanation:
Let us consider a sphere of radius r. The volume of the sphere will be given as

Similarly, let us consider a cylinder with its height being twice the radius of the sphere. We will have its volume given as:

but h = 2r
Hence we have

We can divide the two volumes to get a constant that links them together

this will give us 2/3
Hence the scale factor for Vol sphere: Vol cylinder is 2/3
Answer:
49 percent
Step-by-step explanation:
So convert the fraction into a percentage
245/500= 49%