Answer:
Ratio = 3 : 2 and value of m = 5.
Step-by-step explanation:
We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.
Let us assume that it cuts the line in k : 1 ratio.
Then, the co-ordinates of P = 
.
But, 
= -6
i.e. -8k-3 = -6k-6
i.e. -2k = -3
i.e. 
So, the ratio is k : 1 i.e 
i.e. 3 : 2.
Hence, the ratio in which P divides the line is 3 : 2.
Also, 
= m where
i.e. m = 
i.e. m = 
i.e. m = 
i.e. m = 5.
Hence, the value of m is 5.
The first thing you need to do is convert the yards into feet. In one yard there are three feet. So 2*3=6 now you can do the triangle area equation. 6*4.25=25.5 then divide by two. 25.5/2=12.75So the area of the triangle is 12.75 ft^2Hope this helps
Work it exactly like the other one with Wilda and Karla.
Juan takes 15 hours to do a job ... he does 1/15 of it in an hour.
His father can do it in 6 hours ... he does 1/6 of it in an hour.
Juan works alone for 4.5 hours. In that time, he does 4.5/15 = 0.3
of the job. When his father joins him, there's only 0.7 of it to finish.
Working together, they do (1/15 + 1/6) = (2/30 + 5/30) = 7/30 of the job
each hour.
How many times do they have to do 7/30 of the job in order to finish
the 7/10 of it that remains ? That will be the number of hours they need.
(7/10) / (7/30) = 7/10 x 30/7 = <em>3 hours</em>.
Then they can knock off while it's still daylight, and go for a swim.
Answer:
given x+1 > 10,
x > 10 - 1
x > 9
which means x MUST BE more than 9 , which also means 9 isnt included in the inequality therefore x = 9 is not a solution.
