Answer:
im soory got to gt to class ill make sure i thank u and answer a nother of ur questions sorry ccoykdnt answer.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that the center of the circle is: (2, -4)
tangent to the line x = -2
The equation of a circle has the following formula:
where a, b is the center and r is the radius
The distance between the circle and the tangent line is:
d =
=
d = r so
=
=
the equation of the circle is:
Answer:
Since the legs of the right triangle measure x + 1 and x + 15, respectively, and since the hypotenuse measures x + 17, the Pythagorean Theorem can be used as follows: (x + 1)2 + (x + 15)2 = (x + 17)2. This equation becomes (x2 + 2x + 1) + (x2 + 30x + 225) = x2 + 34x + 289, which then becomes 2x2 + 32x + 226 = x2 + 34x + 289. When all the terms are moved to one side, the equation becomes x2 – 2x – 63 = 0, and when the left side of the equation is factored, it becomes (x – 9)(x + 7) = 0. At this point, it seems as if x can equal 9 or –7, but if x were –7, one of the legs would have a negative length, and this is impossible. For this reason x equals 9, and the legs of the triangle measure 10 and 24, respectively, while the hypotenuse measures 26. Since cosine is
length of adjacent leg
length of hypotenuse
, the cosine of angle C is
24
26
, or
12
13
.
Answer:
B
Step-by-step explanation:
The solutions are the coordinates of where the lines intersect.