Answer: (5,10)
Step-by-step explanation:
multiply first equation with 2 and add it to second to eliminate X
7x-5y=-15 //*2
14x-10y=-30
-14x+7y=0
----------------
-3y=-30
y=-30/-3
y=10
7x=50-15
7x=35
x=35/7
x=5
Answer:
200
Step-by-step explanation:
Answer:
(5, 7 )
Step-by-step explanation:
Given 2 points (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
here (x₁, y₁ ) = U(8, 9) and (x₂, y₂ ) = V(2, 5), thus
midpoint = [0.5(8 + 2), 0.5(9 + 5) ] = [0.5(10), 0.5(14) ] = (5, 7 )
So discriminant gives us 3 possibilites connected with result of the equation b^2-4ac. If it is bigger than zero, there are 2 solutions, if answer is exactly 0, then there is one answer and if the number is lower than 0, there are no solutions.
Discriminant of your quadratic equation is (-4)^2-4*1*5=16-20=-4, so there are no solutions.
I believe the answer is c
