Answer:
x≤−8
Step-by-step explanation:
2x+3≤x−5
Subtract x from each side
2x-x+3≤x-x−5
x+3≤−5
Subtract 3 from each side
x+3-3≤−5-3
x≤−8
Answer:
Step-by-step explanation:
Answer:
b = 12 = 20.78
c = 24
Step-by-step explanation:
The sides of a 30-60-90 triangle always have the same proportion to each other. The side opposite the 30 degree angle is x, the side opposite the 60 degree angle is x and the side opposite the 90 degree angle is 2x (this side is called the hypotenuse) .
Since we know the side opposite the 30 degree angle here is 12, then we know that the side opposite the 90 degree angle is 2 times the side opposite the 30 degree angle, c = 24 units (2 x 12).
Finally, the side opposite the 60 degree angle is 12 which equals 20.78 units.
If you simply solve the equation for w, rather than "guess and check" using the values in the "replacement set," you find ...
... 6w +6 = 60 . . . . simplify the equation
... 6w = 54 . . . . . . . subtract 6
... w = 9 . . . . . . . . . divide by 6
The appropriate choice is ...
... D. 9
Answer:
-3/4
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
= (-17- -2)/(24-4)
= (-17+2)/ (24-4)
= -15/20
= -3/4