Answer:
x+3y-6=0
Step-by-step explanation:
given eqn is y=3x-2 which is 3x-y-2=0
the eqn of line perpendicular to given eqn is -x+3y+k=0
it passes through (6,4)
-6+3*4+k=0
or,. -6+12+k=0
or, k= -6
therefore, the eqn of line perpendicular to given eqn is x+3y-6=0
Probability=number of specific outcomes / total number of possible outcomes.
There are a total of 5+4+7+9=25 marbles so the probability of those three specific picks in a row are:
(green/total)(red/total)(yellow/total)
(5/25)(4/25)(9/25)=180/15625
36/3125 ( 1.152% )
-(-7y + 12) = 7y - 12
u are distributing the -sign through the parenthesis...so u take the number outside of the parenthesis (and if it just a sign, the number is 1)...and u multiply it by everything in the parenthesis.
-1(-7y + 12) = -1 * -7y + (-1) * 12 = 7y + (-12) = 7y - 12
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Answer:
340.63
Step-by-step explanation:
To find the area we need to calculate the height of the triangle and one of its sides. the bisector cuts the 60° angle in two of 30°. In the picture I drew the triangle and the sides we need to calculate are y and h.
We are going to calculate x, y and h with sin law:
Then, the area of the triangle is
A =