Answer:
8times 10 times 4 divided by 2 pplus 8 times 8 equals 64 + 80 = 144 m squared
Step-by-step explanation:
Answer:
, ![n\geq 2](https://tex.z-dn.net/?f=n%5Cgeq%202)
Step-by-step explanation:
= 18
The common difference = -3
Therefore :
, ![n\geq 2](https://tex.z-dn.net/?f=n%5Cgeq%202)
check:
when n = 2
![a_{2}= a_{1}-3](https://tex.z-dn.net/?f=a_%7B2%7D%3D%20a_%7B1%7D-3)
![a_{2}=18-3 = 15](https://tex.z-dn.net/?f=a_%7B2%7D%3D18-3%20%3D%2015)
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:
Step-by-step explanation:
Equation for line of slope -6 that passes through (0,-2):
y+2 = -6(x-0)
y = -6x - 2
Plug in (g,-8) and solve for g:
-8 = -6g - 2
g = 1