Translate the given phrase into an algebraic expression and simplify if possible: the product of -13 and the difference of c
1 answer:
Answer:
Step-by-step explanation:
For this exercise it is important to remember the following:
1. By definition, the "Product" is the result of a multiplication.
2. The "Difference" is defined as the result of a subtraction.
3. The Distributive property states that:
Keeping the above on mind, you know that:
"The difference of and
" can be represented with the following expression:
Therefore, "The product of -13 and the difference of and
" can be represented with this expression:
Finally, you must apply the Distributive property in order to simplify the expression. You get:
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Answer:
Option a :
Step-by-step explanation:
Given :
The drama club sold 100 tickets to a show, it had $300 in profit.
The next show, it had sold a total of 200 tickets and had a total of $700 profit.
To Find : Equation models the total profit, y, based on the number of tickets sold, x
Solution :
For 100 tickets he had $300 in profit .
⇒ ()=(100,300)
For 200 tickets he had $700 in profit .
⇒ ()=(200,700)
We will use point slope form i.e.
--(A)
Now, to calculate m we will use slope formula :
Now, putting values in (A)
Thus Option a is correct i.e.
Answer: option 3 is the correct answer
Step-by-step explanation:
Let us look at the various trigonometric ratios
Sin Ф = opposite side/ hypotenuse
Cos Ф = adjacent side / hypotenuse
Tan Ф = opposite side / adjacent side
Therefore, tan Ф = sin Ф / cos Ф
This means that if cos Ф=-8/17 and sin Ф is negative, then the hypotenuse is negative
To determine the adjacent side, we will apply Pythagoras theorem
Hypotenuse ^2 = opposite ^2 + adjacent ^2
-17^2 = 8^2 + adjacent^2
adjacent^2 = 289 - 64 = 225
adjacent = √225 = 15
tan Ф = 8/15
