I think the answer is D
Hope it helps
Answer:
a) (3, -4), (2, 4), (-5, -6)
b) (4, 3), (-4, 2), (6, -5)
Step-by-step explanation:
a) Reflection in the x-axis negates the y-coordinate:
(x, y) ⇒ (x, -y)
(3, 4) ⇒ (3, -4)
(2, -4) ⇒ (2, 4)
(-5, 6) ⇒ (-5, -6)
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b) Reflection in the line y=x swaps the x- and y-coordinates:
(x, y) ⇒ (y, x)
(3, 4) ⇒ (4, 3)
(2, -4) ⇒ (-4, 2)
(-5, 6) ⇒ (6, -5)
Answer:
=5
Step-by-step explanation:
-7-6(-2)
-7+12
=5
sorry didn't read it right
Answer: a = 3
Step-by-step explanation: when you multiply 6 by -3 you get -18 and if you add 16 you get -2
so the slope is -3 and the y-intercept is 16
so a*-3 + 16 = 7
by subtracting 16 on both sides you get
-3a = -9
and to get a by itself you divide -3 on both sides
a = -9/-3
a= 9/3
a = 3
If you assign variables to the problem, it can make things a lot simpler. Lets say chairs are x and tables are y. Therefore you have:
2x+6y=40
5x+3y=25
Now you can isolate the variable of one equation and put it into another (it doesn't matter which. I'm going to manipulate the top equation to plug into the bottom one).
2x=40-6y
x=20-3y
Now I plug into bottom equatioin:
5(20-3y) + 3y=25
100-15y+3y=25
100-12y=25
-12y=-75
y=$6.25
Now you can plug in y in either equation to get x.
2x+6(6.25)=40
37.5+2x=40
2x=2.5
x=1.25
So it costs $6.25 for each table and $1.25 for each chair. If you think about it, it would make sense for the table to cost more for the chair.
