<h3>
Answer: A) -2</h3>
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Explanation:
Let's find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (2-7)/(-6-4)
m = (-5)/(-10)
m = 1/2
The slope of line AB is 1/2
To get the slope of BC, we flip the fraction and the sign to get the perpendicular slope
1/2 becomes -2/1 or simply -2
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Slope of AB = 1/2
Slope of BC = -2
Notice how the two perpendicular slopes multiply to -1.
We know they are perpendicular because the four angles of any rectangle are always 90 degrees each.
Answer:
A. 236
B. 164
Step-by-step explanation:
18% of 200= 36
200+36=236
200-36=164
Every square is a rectangle because it is a quadrilateral with all four right angle (a rectangle is not a square)
Answer:
(f-g)(x) = x-3
Step-by-step explanation:
Given
f(x) = 3x-2
and
g(x) = 2x+1
We have to find (f-g)(x)
So,
(f-g)(x) = f(x)-g(x)
= 3x-2 - (2x+1)
= 3x-2-2x-1
=x-3
Hence,
(f-g)(x) = x-3
The correct answer is D No, Dan should reduce his discretionary spending
Explanation:
For Dan to stay on the budget he needs to spend the amount budgeted for each expense or less than the amount budgeted. This occurred in the case of the Internet, food, and rent; for example, the amount budgeted for the internet was $35 and Dan spent this money, also, the amount budgeted for food was $100 and Dan spent $95, which means he stood in the budget. However, this did not occur with discretionary spending, which refers to other non-necessary expenses, because in this case, Dan spent $140 even when the budget limit was $100. Also, this exceeds the total income considering 35 + 95 + 500+ 140 = $770, which is above the income ($750). Thus, Dan did not stay in the budget because he spent more money than expected in discretionary spending and should reduce this.
