Answer:
x = 4 , y = ⅕
Step-by-step explanation:
2x + 5y = 9 (1)
3x - 5y = 11 (2)
Add (1) and (2)
5x = 20
x = 4
Using (1), find y
2(4) + 5y = 9
5y = 1
y = ⅕
Answer:
cos(a + b) = 
Step-by-step explanation:
cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]
cos(a) = 
cos(b) = 
Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.
sin(a) =
[Since, sin(a) =
]
= 
= 
Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.
sin(b) =
= 
= 
By substituting these values in the identity,
cos(a + b) = 
= 
= 
= 
Therefore, cos(a + b) = 
Answer:
a) 
b) The lowest point of
,
is when x = 
Step-by-step explanation:
a) To simplify the expression
you must:
Apply Difference of Two Squares Formula: 



Apply the Pythagorean Identity 
From the Pythagorean Identity, we know that 
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 = 
Answer: N >/= 7 bits
Minimum of 7 bits
Step-by-step explanation:
The minimum binary bits needed to represent 65 can be derived by converting 65 to binary numbers and counting the number of binary digits.
See conversation in the attachment.
65 = 1000001₂
65 = 7 bits :( 0 to 2^7 -1)
The number of binary digits is 7
N >/= 7 bits
Answer:
Area = 12 square centimetres