9514 1404 393
Answer:
12
Step-by-step explanation:
The length of the hypotenuse, PQ, can be found from the Pythagorean theorem:
PQ² = QR² +PR²
PQ² = 3² + 4² = 25
PQ = √25 = 5
The perimeter is the sum of side lengths:
P = 3 + 4 + 5 = 12
The perimeter of this triangle is 12 units.
Profit (P) is calculated by subtracting the total cost (C) from the total revenue (R). The calculations are shown below,
R = (1440 dozens) x (12 pieces / 1 dozen) x (25 cents/ piece) = $4320
C = (1440 dozens) x ($2.50 / dozen) = $3600
Profit = R - C = $4320 - $3600 = $720
Thus, the businessman's profit is $720.
Answer: (x,y)=(14/4,0)
Step-by-step explanation:
y=-2(x-3)(2)+2
Clear the brackets
y=-2(2x-6)+2
y=-4x+12+2
y=-4x+14
To get the x-intercept y=0
0=-4x+14
4x=14
x=14/4
(x,y)=(14/4,0)
Answer:
-8 > b
Step-by-step explanation:
94<-2(1+6b)
Distribute
94<-2-12b
Add 2 to each side
94+2<-2-12b +2
96 < -12b
Divide each side by -12, remembering to flip the inequality since we divide by a negative
96/-12 > -12b/-12
-8 > b
I'm assuming this is a system of equations you want solved so,
x = -y + 3
-2(-y+3)+4y = 6
2y - 6 + 4y = 6
6y = 12
y = 2
x + 2 = 3
x = -1
(-1,2)
