Answer:
negative pie/10 radians
Step-by-step explanation:
d on edg
Answer:
Option A, SSS Postulate
Step-by-step explanation:
<em>Since it gives you three sides, that means that it is a SSS.</em>
There are no angles given which eliminates 2 options.
Answer: Option A, SSS Postulate
(4^p*4^1)^3) =4^15
add the exponents
(4^(p+1))^3 = 4^15
multiply the exponents
(4^3(p+1))= 4^15
the exponents have to be the same
3(p+1) = 15
divide by 3
p+1 = 5
subtract 1
p =4
Eric is not correct
p=4
F(x) = x^2 is the black parabola in both graphs.
g(x) = - 7/2 x^2 tells you the parabola will be:
- flipped upside down because the negative on the 7/2
- skinnier, because of the 7/2.
This will be the second graph.
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
.
