Answer:
The area for the selected triangle is 96 units²
Step-by-step explanation:
We are able to answer this using the area of triangle formula
B x H = A
16 x 12 = 96
Consider the factors of 40: ±1, ±4, ±10, ±5, ±8 ... ±5 and <span>±8 can be manipulated to fit your factorization.
(x - 8)(x - 5) works. -8 - 5 = -13, which is what you need in the middle, and -8*-5 gives you a positive 40.</span>
Sequence one is geometric since you are multiplying each number by a certain value (-2). Sequaence 2 is arithmetic since you are ADDING each number by -20
Answer:
10.39 or 6![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Step-by-step explanation:
x = 18 tan 30 = 10.39 or 6![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Answer:
![w(-3) = 12](https://tex.z-dn.net/?f=w%28-3%29%20%3D%2012)
Step-by-step explanation:
Plug in -3 for n in the equation:
![w(n) = n^2 - n](https://tex.z-dn.net/?f=w%28n%29%20%3D%20n%5E2%20-%20n)
![w(-3) = (-3)^{2} - (-3)](https://tex.z-dn.net/?f=w%28-3%29%20%3D%20%28-3%29%5E%7B2%7D%20-%20%28-3%29)
Simplify. Remember to follow PEMDAS. First, solve the power:
![w (-3) = (-3)^2 - (-3)\\w (-3) = (-3 * -3) - (-3)\\w (-3) = (9) - (-3)](https://tex.z-dn.net/?f=w%20%28-3%29%20%3D%20%28-3%29%5E2%20-%20%28-3%29%5C%5Cw%20%28-3%29%20%3D%20%28-3%20%2A%20-3%29%20-%20%28-3%29%5C%5Cw%20%28-3%29%20%3D%20%289%29%20-%20%28-3%29)
Next, combine like terms. Note that if there are two negative signs directly next to each other, it becomes a positive sign. Add:
![w(-3) = 9 - (-3)\\w(-3) = 9 + 3\\w(-3) = 12](https://tex.z-dn.net/?f=w%28-3%29%20%3D%209%20-%20%28-3%29%5C%5Cw%28-3%29%20%3D%209%20%2B%203%5C%5Cw%28-3%29%20%3D%2012)
Your answer: ![w(-3) = 12](https://tex.z-dn.net/?f=w%28-3%29%20%3D%2012)