Answer:
(x+3)(x-5)
Step-by-step explanation:
find two multiples of -15 that when added together create -2
those two numbers would be -5 and +3
-5x3=-15
-5+3=-2
“if it is a regular hexagon, then it has exactly 6 congruent sides.”
“it is a hexagon” being your hypothesis (p)
“it has exactly 6 congruent sides” being your conclusion (q).
hope this helps :)
Answer:
16m+1
Step-by-step explanation:
Knowing about our proprieties about parentheses and negatives, let's solve this out.
<u>A negative multiplied by a negative give you a positive</u>
therefore....
-(-16m-1)= 16m+1
The -1 also receives the negative because the problem was in a parentheses :)
Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:
<h3>What is the trigonometric identity using in this problem?</h3>
The identity that relates the sine squared and the cosine squared of the angle, as follows:

In this problem, we have that the sine is given by:

Hence, applying the identity, the cosine is given as follows:






The tangent is given by the sine divided by the cosine, hence:




More can be learned about trigonometric identities at brainly.com/question/24496175
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We need to find the expression for " number_of_prizes is divisible number_of_participants". Also there should not remain any remainder left. On in order words, we can say the reaminder we get after division is 0.
Let us assume number of Prizes are = p and
Number of participants = n.
If we divide number of Prizes by number of participants and there will be not remainder then there would be some quotient remaining and that quotent would be a whole number.
Let us assume that quotent is taken by q.
So, we can setup an expression now.
Let us rephrase the statement .
" Number of Prizes ÷ Number of participants = quotient".
p ÷ n = q.
In fraction form we can write
p/n =q ; n ≠ 0.