Set them up to equal each other
-7x + 2 = 9x - 14
16 = 2x
x= 8
plug in the x value into any of the two y equations
y= 9 (8) - 14
y=58
points (8, 58)
Answer:
As you can see, these are all set up in slope intercept form (with a y-intercept of 0). These equations are called "direct variation" because y varies directly with x. If x increases, then y increases as well. If x decreases, then y decreases.
Step-by-step explanation:
As you can see, these are all set up in slope intercept form (with a y-intercept of 0). These equations are called "direct variation" because y varies directly with x. If x increases, then y increases as well. If x decreases, then y decreases.
Answer:
- MN = (21 -6√3)/37 ≈ 0.286694
- RK = (14√3 -12)/37 ≈ 0.331046
Step-by-step explanation:
In the attached figure, we have defined LM to be length x. Then the other lengths on side AC are ...
AM = LR = x/√3
RC = (2/√3)RK = (2/√3)(2/√3)x = 4/3x
Then the sum of lengths along AC is ...
AC = AM +ML +LR +RC
1 = x(1/√3 +1 +1/√3 +4/3) = x(7/3 +2/√3) = x(7√3 +6)/(3√3)
Then the value of x is ...

The bisector of a segment is a line, a ray, or a segment that intersects the segment at its midpoint. In a plane, there is an infinite number of lines that passes through every point, so, in a plane, there is an infinite number of bisectors of a segment.
Answer: D. every segment has infinitely many bisectors