So it can be written as 2x + 5 = 11, and x = 3
We have system:
y=2x+1
y=2x^2+1
To find which ordered pair is solution to this system we need to solve system for x and y.
Left sides are same so the right sides must be same too.
2x+1=2x^2+1
2x-2x^2+1-1=0
2x-2x^2=0
2x(1-x)=0
x1=0
x2=1
y1=2*0+1=1
y2=2*1+1=3
The solution are pairs (0,1) and (1,3).
Answer:
B
Step-by-step explanation:
First, divide both sides by -1/2 to remove the -2 from the left side
Then you can subtract 3 from both sides to solve for x
x=2 btw
Answer:
See explanation
Step-by-step explanation:
Since m∠B = m∠D because alternate interiors angles are congruent when the lines are parallel
and m∠BMA = m∠CMC because vertical angles are congruent
and it AM = MC because it is given that M is the midpoint of AC, then
ΔBMA is congruent to ΔDMC.
Therefore, BM = DM because corresponding parts of congruent triangles are congruent.
Now, M is the midpoint of BD because BM = DM
