Answer: PTR = 80°
PTQ= 45° PTS= 128°?
Step-by-step explanation:
See angles <ptr <ptq <pts ar based off of the number of degrees on the protractor
Answer:
a) n<1 and n>5
b) 0 < n < -4
c) n > 2 and n < -2
Step-by-step explanation:
The signal is given by x[n] = 0 for n < -1 and n > 3
The problem asks us to determine the values of n for which it's guaranteed to be zero.
a) x[n-2]
We know that n -2 must be less than -1 or greater than 3.
Therefore we're going to write down our inequalities and solve for n
![n-2](https://tex.z-dn.net/?f=n-2%3C-1%5C%5Cn%3C-1%2B2%5C%5Cn%3C1%5C%5C%5C%5Cn-2%3E3%5C%5Cn%3E5)
Therefore for n<1 and n>5 x [n-2] will be zero
b) x [n+ 3]
Similarly, n + 3 must be less than -1 or greater than 3
![n+30](https://tex.z-dn.net/?f=n%2B3%3C-1%5C%5Cn%3C-1-3%5C%5Cn%3C-4%5C%5C%5C%5Cn%2B3%3E3%5C%5Cn%3E3-3%5C%5Cn%3E0)
Therefore for n< -4 and n>0, in other words, for 0 < n < -4 x[n-2] will be zero
c)x [-n + 1]
Similarly, -n+1 must be less than -1 or greater than 3
![-n+13-1\\-n>2\\n](https://tex.z-dn.net/?f=-n%2B1%3C-1%5C%5C-n%3C-1-1%5C%5C-n%3C-2%5C%5Cn%3E2%5C%5C%5C%5C-n%2B1%3E3%5C%5C-n%3E3-1%5C%5C-n%3E2%5C%5Cn%3C-2)
Therefore, for n > 2 and n < -2 x[-n+1] will be zero
Answer:
The points which satisfy the given lines is ( 1 , 1 )
Step-by-step explanation:
Given as :
The equation of lines is
y = 3 x - 2 ........ 1 And
y = - 2 x + 3 ........ 2
From equation given
3 x - 2 = - 2 x + 3
Or , 3 x + 2 x = 3 +2
Or, 5 x = 5
So , x =
= 1
Put the value of x in eq 1
So, y = 3 ( 1 ) - 2
Or, y = 3 - 2 = 1
∴, the points ( x , y ) = ( 1 , 1 )
Hence The points which satisfy the given lines is ( 1 , 1 ) Answer
Answer: 17
Step-by-step explanation:
Using Pemdas, simplify the exponents, and then solve the multiplication and division inside the parentheses before subtracting. 10-9 = 1 so 1*7 =7
10 +7 is 17.
also i hope this helps and i hope this is not a test...