Simple,
using the Pythagorean Theorem...
You have the hypotenuse (C) and one of the legs (A)
So, plug in what you know...
144+
=400
Now,isolate
-144 -144
Leaving you with...
So, now,
, to find what b is..
b=16
Thus, your answer.
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
First we will compute the h+k and then multiply the result by 2.
To add polynomials, we add terms whose variables are alike, for example:
we add the coefficients of x^2 together, the coefficients of x together and so on.
Therefore:
h + k = x^2 + 1 + x - 2 = x^2+x-1
Now, we will multiply this answer by 2 to get the final answer:
2(h+k) = 2(x^2+x-1) = 2x^2 + 2x -2
Answer:
=8 1/4 as a fraction or 8.25 in decimal form.
Step-by-step explanation:
The indicated operation is the product of the two fractions. Multiplication opens the brackets.
(-11/2)×(-3/2)
=(-11×-3)/(2×2)
=33/4
The negative signs before each term cancel out in multiplication and division.
=33/4 =8 1/4= 8.25
Choose 1 answer among the improper fraction, Mixed fraction or the decimal.
