For the statement below, write the statement symbolically using parentheses and determine whether its a negation, conjuction, disjuction, conditional, or biconditional.
statement: the concert is free, or the concert stadium is full if and only if all seats are sold.
a) which symbolic statement best represents the written statement?
p: the concert is free
q: the concert stadium is full.
r: all seats are sold.
choose correct symbolic statement.
a. p v (q rightarrow r)
b. ~p v (q leftrightarrow r)
c. p ^ (q leftrightarrow r)
d. p v (q leftrightarrow r)
b) is the statement in part (a) a negation, conjunction, disjunction, conditional, or biconditional? choose one
a. biconditional
b. conditional
c. disjunctional
d. conjunction

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .