C. 145°
Explanation:
angles A and D are opposite adjacent.
The equation of the line in its generic form is:
y = mx + b
Where,
m = (y2-y1) / (x2-x1)
For (-1, 3) and (0, 1):
We look for the value of m:
m = (1-3) / (0 - (- 1))
m = (- 2) / (0 + 1)
m = -2
We look for the value of b:
1 = m (0) + b
b = 1
The line is:
y = -2x + 1
For (1, 4) and (0, 2):
We look for the value of m:
m = (2-4) / (0-1)
m = (- 2) / (- 1)
m = 2
We look for the value of b:
2 = m (0) + b
b = 2
The line is:
y = 2x + 2
The system of equations is:
y = -2x + 1
y = 2x + 2
Answer:
the system has one solution
Answer:
x²^2 + 4x + 4 - 9y²=(x+2-3y) (x+2-3y)
Step-by-step explanation:
hello :
x²+4x+4 = x²+2(2x)+2²=(x+2)² use identity : (a+b)² = a²+2ab+b²
( x² + 4x + 4) - 9y² = (x+2)²-(3y)² = (x+2-3y) (x+2-3y) use identity :
a²-b² =(a-b)(a+b)
How much are the owner's expenses for 10 days?
10 * 130 = $1300
How much money does the owner make selling pizzas per day?
200 * 3 = $600
How much money does the owner make selling sandwiches per day?
85 * 2 = $170
In one day, the owner sells 600 + 170 = $770 worth of pizza and sandwiches
Over the course of ten days, that is 10 * 770 = $7700
Profit = revenue - cost = 7700 - 1300 = $6400
There ya go
Answer:
449.25 units
Step-by-step explanation:
The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation as follows :
...(1)
For maximum profit,
Put dy/dx = 0So,
Now put x = 25.5 in equation (1).
so, the required answer is 449.25 units.
