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.
Answer:
the equation of the line is y=-3x+1
have a great day! hope this helped :D
Answer:it will take 200 kilometers for the costs to be the same.
Step-by-step explanation:
Let x represent the number of kilometers that Andrea would have to drive for the total cost of renting from both companies to be the same.
Action trucks charges $80 for the day plus $0.22 per kilometer. It means that the total cost of x miles would be
80 + 0.22x - - - - - - - - - 1
Truck experts charges $100 for the day plus $0.12 per kilometer. It means that the total cost of x miles would be
100 + 0.12x - - - - - - - - - 2
Therefore, for the cost of renting from both companies to be the same,
80 + 0.22x = 100 + 0.12x
0.22x - 0.12x = 100 - 80
0.1x = 20
x = 20/0.1 = 200
We need the cross product of the two vectors.
a x b
=<2,-2,-3> x <3,2,2>
=
i j k
2 -2 -3
3 2 2
=<-4+6, -(4+9), 4+6>
=<2,-13,10>
The second vector is obtained by reversing the direction, namely <-2,13,-10>
Thus the two vectors are <2,-13,10> and <-2,13,-10>.
Step 1: Simplify both sides of the equation.
15.5=26−7p
15.5=−7p+26
Step 2: Flip the equation.
−7p+26=15.5
Step 3: Subtract 26 from both sides.
−7p+26=15.5
-26 -26
−7p=−10.5
Step 4: Divide both sides by -7.
-7p = -10.5
/-7 /-7
Answer:
P = $1.5 (Price for each game)
Hope this helps!
~LENA~
