Answer:
(1/5 mi) / (1/15 hr) = 1/5 * 15/1 = 3 mi/hr
Step-by-step explanation:
I can't conveniently copy the logical symbols you use, so I write
AND = ∧ (conjunction)
OR = ∨ (disjunction)
NOT = ¬
Tautologically,
p = (p AND q) OR (p AND NOT q)
and we can distribute the OR to get the equivalent statement
(p OR (p AND NOT q)) AND (q OR (p AND NOT q))
and again to get
((p OR p) AND (p OR NOT q)) AND ((p OR q) AND (q OR NOT q))
Now, q OR NOT q is always true, and p OR p is simply p, so we have
p = p AND (p OR q) AND (p OR NOT q)
This shows that p OR NOT q is already included in p, so our initial statement is simply
p AND (NOT p OR NOT q)
Distributing the conjunction, we get
(p AND NOT p) OR (p AND NOT q)
p AND NOT p is tautologically false, but we're considering a disjunction, so the truth value of p AND NOT q is the only value that's relevant. So, the initial statement collapses to
p AND NOT q
A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. For instance, "x^-2" just means "x2, but underneath, as in 1/x^2.
-4^-2 means the power -2 is only applied to 4 and not the negative sign. -4^-2 = -(4^-2), which is equal to -1/16.
Whereas, (-4)^-2 means the power -2 affects on both negative sign and 4. For example, (-4)^2 is equal to (-4 * -4) which is just 16. Moving on, with (-4)^-2 equals to 1/(-4*-4) = 1/16.
//Hope this helps.
<span>The coordinates of the vertices of the triangle :
</span>(-1,1), (-4,1). <span>(-4, 4)
</span>the translation (x, y) --> (x + 3, y + 2), the new coordinates of the vertices of the triangle will be:<span>
(2, 3), </span>(-1, 3), <span>(-1, 6)
Answer:
</span><span>D. (2, 3), (-1, 3), (-1, 6)</span>
