Answer:
Options 2 and 4.
Step-by-step explanation:
Line MK is the perpendicular bisector of line LN, because it cuts through its midpoint.
Line ML is equal to line MN because it is a kite, and a kite has two adjacent sides equal.
<span>X = 65(7)
X = 455
Marla did 455 sit-ups in a week</span>
Answer:
slope (m)= 1/2
y-intercept: (0, -1)
equation: y=
x-1
Step-by-step explanation:
slope is 
=
y-intercept is where the line crosses the vertical axis (y-axis) so its (0, -1)
using point slope form:
y-y1=m(x-x1)
y-(-1)=1/2(x-0)
y+1=1/2x
y=x-1
Absolute value equations have more than one solution because when the answer is in abs. value, it is positive, so there could be a negative answer and it would still be positive. For example |-5|=5 and |5|=5 as well.
4+|2x|=-1 would have no solution because you cannot have the equation equal a negative since the 2x is in absolute value.
Answer:
Step-by-step explanation:
Suppose that the side length is s. Imagine that one side is level. Draw a vertical line through the top vertex perpendicular to the base (level side). Label this vertical line "h." Then h and s are related as follows:
√3 h
sin 60 degrees = ------- = --------
2 s
s√3
and so h = the height of the triangle = -----------
2
The area of this triangle is (1/2)(base)(height), which here is:
(1/2)(s/2)( s√3 /2), or
(s^2)√3
A = ---------------
8
