You will want to start by making your fractions have the same denominator. To do this, multiply the 2/3 by 2/2, to make it 4/6. Now we have this equation:
-4/6x = 1/6x + 4
Next, subtract 1/6x from both sides:
-5/6x = 4
Finally, multiply both sides by -6/5, and you get your answer:
x = -4.8
Answer:
x = 84/5 = 16.8
Step-by-step explanation:
The angle bisector theorem said that
21/15 = x/12
==> 7/5 = x/12
==> x = 84/5
Step-by-step explanation:
With the given points, we can first find the gradient of the line:
gradient = (2+1)/(-4-8)
= -1/4
We also know that the formula of a straight line is
Y = mX+C, where m is gradient and C is y intercept.
Hence by substituting the coordinates (-4, 2) and the gradient -1/4, we get:
2 = (-1/4)(-4) + C
<u>C = 1</u><u>.</u> Hence, Answer is C.
(Actually, you can just draw a straight line connecting the 2 coordinates and find out the y intercept)
We know that
if PQ <span>is the perpendicular bisector of line MN
then
MQ=QM
and
NP=MP
so
6x+1=10x-17----------> 10x-6x=17+1-----> 4x=18---------> x=18/4----> x=4.5
QN=2x+5-----> QN=2*4.5+5-----> QN=14
the answer is
QN is 14</span>
