"a" would be the correct answer <span />
Answer:
x = 18√3
Step-by-step explanation:
From the picture attached,
In a right triangle,
Measure of one angle = 30°
Measure of adjacent side of the angle = 9 units
We have to find the measure of Hypotenuse from the given properties.
By cosine rule,
cos(30°) = 


Therefore, measure of Hypotenuse is 18√3 units.
Answer:
x = -2
Step-by-step explanation:
3(-2 - 3x) = -9x - 4 (Given)
3(-2) + 3(-3x) = -9x - 4 (Distributive Property of Equality)
-6 + 9x = -9x - 4 (Simplify)
-6 + 4 -9x= -9x - 4 + 4 (Addition Property of Equality)
-2 + 9x = -9x (Simplify)
-2 +
(Division Property of Equality)
-2 = x (Simplify)
x = -2 (Symmetric Property of Equality)
Answer:
-8j+5
Step-by-step explanation:
the answer is -8j+5
Answer:
![\left[\begin{array}{ccc}32&-55\\3&39\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D32%26-55%5C%5C3%2639%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
![\left[\begin{array}{ccc}0&-15\\3&15\end{array}\right] +\left[\begin{array}{ccc}32&-40\\0&24\end{array}\right] =\left[\begin{array}{ccc}0+32&-15+(-40)\\3+0&15+24\end{array}\right] = \left[\begin{array}{ccc}32&-55\\3&39\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26-15%5C%5C3%2615%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D32%26-40%5C%5C0%2624%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%2B32%26-15%2B%28-40%29%5C%5C3%2B0%2615%2B24%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D32%26-55%5C%5C3%2639%5Cend%7Barray%7D%5Cright%5D)