Answer:
y = -x - 8
Step-by-step explanation:
Midpoint of the line:
x = (x1 + x2)/2 = (-8 + -4)/2 = -12/2 = -6
y = (y1 + y2)/2 = (-5 + 1)/2 = -4/2 = -2
so midpoint is (-6,-2)
Slope of the line: Slope m = (y2-y1)/(x2-x1)
m = (-1 - -5)/(-4 - -8) = (-1 + 5)/(-4 + 8) = 4/4 = 1
Perpendicular lines have slopes that are negative reciprocals of one another
so slope of the perpendicular line is -1/1 is -1
y = mx + b
y = -x + b
Using (-6,-2)
-2 = -(-6) + b
-2 = 6 + b
b = -8
so y = -x - 8
Answer:
140/3 or 46.6(with the 6 repeating)
Step-by-step explanation:
(x+55)+(2x-15)=180
whatever% of anything is just (whatever/100) * anything.
so the socket set has a 40% off, what is 40% of 36? well, is just (40/100) * 36, or 14.4, that's the discount, so the sale price is 36 - 14.4, or 21.6.
plus the 8.25% taxation, what is 8.25% of 21.6? well, is just (8.25/100) * 21.6, or 1.782.
so the total price is 21.6 + 1.782, or 23.382, or about 23 bucks and 38 cents.
To start, you want to determine the inequality. You can do this by setting the number of buying n fish to be less than or equal to her current amount of money, being as it can't go over or she wouldn't be able to afford the fish. This inequality would be written so her amount of money (20) would be greater than or equal to the cost of n fish (2.5n), which would then look as such: 20≥2.5n. To solve this inequality, just solve for n by dividing both sides by 2.5, giving you 8≥n. This would mean that Becky can afford to buy up to 8 fish.
Answer:
4/185 or 0.0216...
Step-by-step explanation:
