Answer:
they're all rational numbers
Step-by-step explanation:
rational numbers are positive, negative, or zero integers. they can be decimals as well.
first expression = 2.449.... + 3 = 5.449 (yes, it is rational)
second expression = 8 + 0.54545454... = 8.545454... (yes, it is rational)
third expression = 6 + 4.582575... = 10.4582575... (yes, it is rational)
fourth expression = 4 + 13 = 17 (yes, it is rational)
fifth expression = 17.43... + 7 = 24.43.... (yes, it is rational)
sixth expression = 6.6332... + 5 = 11.6332 (yes, it is rational)
Step-by-step explanation:

( vertically opposite angles)



Answer:
Step-by-step explanation:
a.
2y - 3x = 5
2(-2) - 3x = 5
-4 - 3x = 5
-3x = 9
x = -3
(-3,-2) is another solution
b.
(-1,1)
2y - 3x = 5
2(1) - 3(-1) = 5
2 + 3 = 5
5 = 5
true, the point is a solution to the equation because the equation is true after substituting x and y with the point (-1,1)
(4,1)
2y - 3x = 5
2(1) - 3(4) = 5
2 - 12 = 5
-10 = 5
not true, the point is not a solution to the equation because the equation is not true after substituting x and y with the point (4,1)
c. You can use the points from the given (-1,1) and (-3,-2) to form a line. You then shade whichever half solves the solution using points on the graph.
Answer:
The solutions are π/4, 3π/4,5π/4,7π/4
Step-by-step explanation:
The given equation is
6sin²(x) = 3
Divide by 6 to get:

This implies that;

If


in the first quadrant

in the second quadrant.
If


in the third quadrant
