Read the statement. Doubling the dimensions of a rectangle increases the area by a factor of 4.

If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4, which are true? Select two options.

p → q represents the original conditional statement.
~p → ~q represents the inverse of the original conditional statement.
q → p represents the original conditional statement.
~q → ~p represents the converse of the original conditional statement.
p → ~q represents the contrapositive of the original conditional statement.

A and B

Step-by-step explanation:

Given

p -> Doubling the sides of a rectangle

q -> Area increases by factor of 4

From the question we understand that q depends on p.

This means that the original statement is option A which says p → q

The arrow from p to q indicates that if p is true then q is true.

Hence, option A is correct

Option B is also correct because it represents the inverse of (A) above.

I.e. if the sides of the triangle is not doubled, then the area won't increase by a factor of 4.

This in its actual sense represent negation or inverse statement.

Hence, options A and B answer the question while other options are incorrect.

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb