False, 24 x 10 x 90 = 21,600, 90 x 2,400 = 216,000
Answer:
x = 6, y = -8
Step-by-step explanation:
First we take the equations side by side and put them like this:
6x + 2y = 16
+ 2x - 2y = 32
8x = 48
Then solve for x.
x = 6
Then insert x back into either equation
2(5) - 2y = 32
10 - 2y = 32
solve for y,
y = -10
Answer:
a) ![\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)=325](https://tex.z-dn.net/?f=%5Cleft%2818%2B%5Ctan%20%5Cleft%28x%5Cright%29%5Cright%29%5Cleft%2818-%5Ctan%20%5Cleft%28x%5Cright%29%5Cright%29%2B%5Csec%20%5E2%5Cleft%28x%5Cright%29%3D325)
b) The lowest point of
,
is when x = ![\pi](https://tex.z-dn.net/?f=%5Cpi)
Step-by-step explanation:
a) To simplify the expression
you must:
Apply Difference of Two Squares Formula: ![\left(a+b\right)\left(a-b\right)=a^2-b^2](https://tex.z-dn.net/?f=%5Cleft%28a%2Bb%5Cright%29%5Cleft%28a-b%5Cright%29%3Da%5E2-b%5E2)
![a=18,\:b=\tan \left(x\right)](https://tex.z-dn.net/?f=a%3D18%2C%5C%3Ab%3D%5Ctan%20%5Cleft%28x%5Cright%29)
![\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)=18^2-\tan ^2\left(x\right)=324-\tan ^2\left(x\right)](https://tex.z-dn.net/?f=%5Cleft%2818%2B%5Ctan%20%5Cleft%28x%5Cright%29%5Cright%29%5Cleft%2818-%5Ctan%20%5Cleft%28x%5Cright%29%5Cright%29%3D18%5E2-%5Ctan%20%5E2%5Cleft%28x%5Cright%29%3D324-%5Ctan%20%5E2%5Cleft%28x%5Cright%29)
![324-\tan ^2\left(x\right)+\sec ^2\left(x\right)](https://tex.z-dn.net/?f=324-%5Ctan%20%5E2%5Cleft%28x%5Cright%29%2B%5Csec%20%5E2%5Cleft%28x%5Cright%29)
Apply the Pythagorean Identity ![1+\tan ^2\left(x\right)=\sec ^2\left(x\right)](https://tex.z-dn.net/?f=1%2B%5Ctan%20%5E2%5Cleft%28x%5Cright%29%3D%5Csec%20%5E2%5Cleft%28x%5Cright%29)
From the Pythagorean Identity, we know that ![1=-\tan ^2\left(x\right)+\sec ^2\left(x\right)](https://tex.z-dn.net/?f=1%3D-%5Ctan%20%5E2%5Cleft%28x%5Cright%29%2B%5Csec%20%5E2%5Cleft%28x%5Cright%29)
Therefore,
![324[-\tan ^2\left(x\right)+\sec ^2\left(x\right))]\\324[+1]\\325](https://tex.z-dn.net/?f=324%5B-%5Ctan%20%5E2%5Cleft%28x%5Cright%29%2B%5Csec%20%5E2%5Cleft%28x%5Cright%29%29%5D%5C%5C324%5B%2B1%5D%5C%5C325)
b) According with the below graph, the lowest point of
,
is when x = ![\pi](https://tex.z-dn.net/?f=%5Cpi)
Answer:
100 1/4
Step-by-step explanation:
Answer: Simple interest= Principal× rate× time/ 100
Amount= Simple interest + Principal
Step-by-step explanation: