Solve simultaneously.
4x - y = 8
6x + y = 2
Multiply top equation by 6, and bottom equation by 4, to eliminate x, so that we can find y.
~
24x - 6y = 48
24x - 4y = 8
Subtract top from bottom to form one equation.
~
-2y = 40
Therefore y is 20.
Put y back in to an equation, such as 4x - y = 8.
~
4x - 20 = 8
4x = 28
x = 7
Answer:
13. c,
14. a.
Step-by-step explanation:
13. The length of a side PQ with coordinates of
P as (x,y) and Q as (w,z)
is: 
- so, the length of the side AB =



now, the easiest one will be when the vertices are on the coordinate axes.
- so, option c will be the most appropriate one.
14. If u see the figure clearly, the lines l and FH are parallel.
the parallel postulate, i.e, the alternate interior angles will always be congruent.
- here, the alternate interior angles are angle1 and angle4.
- therefore to prove this step, he used parallel postulate as a reason.
- so, the correct option is "a"
Answer:
-15
Step-by-step explanation:
-24 + (1-4)^2 (solve parentheses first)
= -24 + (-3)^2 (solve exponent)
= -24 + 9
= -15
Answer:
Mom=30 Daughter=6
Step-by-step explanation:
M=5×D
M+6=3×D
5D=3D-6
2D=6
D=12
M=12×3=36
Now: D=12-6=6
M=36-6=30