Answer: 15, and 44 are integers.
Step-by-step explanation: For 15 to be an integer, 15 has to be a whole number. Furthermore, for 15 to be an integer, you should be able to write 15 without a fractional or decimal component. 15 is a whole number that can be written without a fractional component, thus 15 is an integer, as well as 44.
Answer:
Step-by-step explanation:
1) 2x + y = 3 -(1)
-3x + 2y = -8 -(2)
(1) x 2 => 4x + 2y = 6 -(3)
(3) - (2)
=> 4x + 2y + 3x - 2y = 6 + 8
=> 7x = 14
=> x = 2
=> 2(2) + y = 3
=> y = 3 - 4 = -1
2) 6x + 7y = -9 -(1)
-4x - 5y = 5 -(2)
(1) x 4 => 24x + 28y = -36 -(3)
(2) x 6 => -24x - 30y = 30 -(4)
(3) + (4)
=> 24x + 28y - 24x - 30y = -36 + 30
=> -2y = -6
=> y = 3
=> 6x + 7(3) = -9
=> 6x = -30
=> x = -5
3) -x - 7y = 9 -(1)
-x + 9y = -23 -(2)
(1) - (2)
=> -x - 7y + x - 9y = 9 + 23
=> -16y = 32
=> y = -2
=> -x - 7(-2) = 9
=> -x = -23
=> x = 23
4) -x + 9y = -5 -(1)
x - 5y = 1 -(2)
(1) + (2)
=> -x + 9y + x - 5y = -5 + 1
=> 4y = -4
=> y = -1
=> x - 5(-1) = 1
=> x = -5
5) -2x + y = 10 -(1)
4x + y = -14 -(2)
(1) - (2)
=> -6x = 24
=> x = -4
=> 4(-4) + y = -14
=> y = -14 + 16 = 2
Answer:
The study of algebra helps in logical thinking and enables a person to break down a problem first and then find its solution. Although you might not see theoretical algebraic problems on a daily basis, the exposure to algebraic equations and problems at some point in life will train your mind to think logically.
The sine function is increasing in the first quadrant.
sin(0) = 0
sin(90) = 1
This means the larger angle will give a larger sine value.
sin(w) > sin(t) -----> w > t
