Answer:
the answer is c
Step-by-step explanation:
Let p be: John goes to the beach
Let q be: He will go surfing.
Then in symbolic form, the argument becomes:

p ⇒ q
p
---------------------
∴ q
An argument is valid if the conjuction of the premises implies the conclusion.
p | q | p ⇒ q | (p ⇒ q) ∧ p | [(p ⇒ q) ∧ p] ⇒ q
---------------------------------------------------------------------\
F | F | T | F | T
F | T | T | F | T
T | F | F | F | T
T | T | T | T | T
The table above shows that the argument is a tautology.
Hence, the argument is valid
You should know that you can predict changes in coordinates after translations without a graph or anything like that.
(x, y) reflected over the x axis = (x, -y)
(x, y) reflected over the y axis = (-x, y)
(x, y) rotated 90 degrees around the origin = (y, -x)
(x, y) rotated 180 degrees around the origin = (-x, -y)
(x, y) rotated 270 degrees around the origin - (-x, y)
So here's our set of points.
A(1, 2), B(4, 6), C(4, 6)
Here's those points reflected over the x axis.
A'(1, -2), B'(4, -6), C'(4, -6)
And here's <em>those</em> points rotated 180° around the origin.
A''(2, -1), B''(6, -4), C''(6, -4)
I think you made a mistake writing down the question, though, because B and C are the same yet you say ABC forms a triangle. You should be able to go through this process with whatever the coordinate was supposed to be.
Answer:
y= -1.4x-6.6
Step-by-step explanation:
(1,-8)
7x+5y=-7
Make the equation into standard form
Subtract 7x from both sides
5y=-7x-7
Divide all by 5
y=-1.4x-1.4
Since they are parrallel, we know the slope is -1.4x
y=-1.4x+b
(1,-8) is one of the points it goes through
Replace the x and y in the equation for the x and y in the incomplete equation
-8=-1.4+b
Add 1.4 to both sides
-6.6=b
Thus the equation is
y=-1.4x-6.6