Answer:


Step-by-step explanation:
the ratio of sides of a 30-60-90° triangle, respectively, are 1 :
: 2
we can solve for 'x' using this proportion:
x/4 = 1/
now cross-multiply:
x = 4
x = 4/
we don't want to leave a radical in the denominator so we can multiply numerator and denominator by
to get:
4
/ 3 or 

Answer:
J(0,2)
Step-by-step explanation:
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.
First we find the equation of the line. Notice that the line goes through the point (0,c). Since c is on the y-axis, c is the y-intercept. To find the slope take any two points and count the boxes (up or down) from one to the other. Divide that by the number of boxes (left and right) from one to the other. I chose (0,c) and (1,-1) so I traveled down 2 and right 1. Down (negative) 2 and right (positive) 1 gives me a slope of -2/1 = -2.
The equation of a line is given by y = my +b where m is the slope (here -2) and b is the y-intercept (here c). That makes the equation of the line y=-2x+c.
The shading occurs above the line so we use either greater than (>) or the greater than or equal to sign

. The way we decide is whether the line is solid (as it is here) or dashed. Here it is solid so we use greater than or equal to.
That makes the correct answer the 5th choice from the top:
Y(0)=0+3=3 (0;3)
y(1)=1+3=4 (1;4)
y(2)=2+3=5 (2;5)
x+3=0
x=-3
x+3=1
x=-2
x+3=2
x=-1