Determine the slope between the points (5, -5) and (-1, 7)
2 answers:
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<u>Given</u>:
The given expression is
We need to determine the equivalent expression.
<u>Option A:</u> -1
Solving the expression, we get;
Simplifying, we get;
Thus, the expression is not equivalent to -1.
Hence, Option A is not the correct answer.
<u>Option B</u>: 29
Solving the expression, we get;
Simplifying, we get;
Thus, the expression is equivalent to 29.
Hence, Option B is the correct answer.
<u>Option C</u>:
Let us rewrite the given expression.
Thus, the expression is equivalent to
Thus, Option C is the correct answer.
<u>Option D</u>:
Rewriting the expression, we get;
Hence, the expression is equivalent not to
Thus, Option D is not the correct answer.
<u>Option E:</u>
Multiplying the terms within the bracket, we get;
Hence, the expression is equivalent to
Thus, Option E is the correct answer.
<u>Answer: </u>
Expression x + 2my + z represents cost of order where x, y, z are cost of small , medium and large drinks (in dollars) respectively.
<u>Solution: </u>
Given that
Juan’s family ordered a small drink and m medium drinks.
Alex family ordered m medium drinks and a large drink.
Need to write an algebraic expression which shows total cost of both order in dollars.
Let’s assume cost of one small drink = x
And assume cost of one medium drink = y
And assume cost of one large drink = z
So now cost of order of Juan’s family is equal to cost of 1 small drink + cost of m medium drinks = 1 x + m
y
= x + my
And cost of order of Alex family is equal to cost of m medium drinks + cost of one large drink
= m x y + 1 x z
=my + z
So total cost of both order in dollars = x + my + my + z = x + 2my + z
Hence expression x + 2my + z represents cost of order where x , y , z are cost of small , medium and large drinks (in dollars) respectively.