What do we know about those two lines?
They are perpendicular, meaning they have the same slope.
We know the slope of both is not zero (neither is vertical).
Therefore either
1) Both slopes are positive and therefore the product is positive
2) Both slopes are negative and therefore the product is positive (minus by a minus is a plus)
For the y intercepts, we know that the line P passes through the origin.
Therefore its Y intercept is zero.
[draw it if this is not obvious and ask where does it cross the y axis]
Therefore the Y intercept of line K and line P is zero.
[anything multiplied by a zero is a zero]
So we know that the product of slopes is positive, and we know that the product of Y intercepts is zero.
So the product of slopes must be greater.
Answer A
Each pound of squash cost $0.49 while each pound of eggplant cost $0.69.
Let x represent the cost of each pound of squash and y represent the cost of each pound of eggplant.
3 pounds of squash and 2 pounds of eggplants cost $2.85. Hence:
3x + 2y = 2.85 (1)
4 pounds of squash and 5 pounds of eggplants cost $5.41. Hence:
4x + 5y = 5.41 (2)
Solving equation 1 and 2 simultaneously gives:
x = 0.49, y = 0.69
Each pound of squash cost $0.49 while each pound of eggplant cost $0.69.
Find out more at: brainly.com/question/21105092
Answer:
- 26 ounces of 55% solution
- 104 ounces of 80% solution
Step-by-step explanation:
Let x represent the quantity of 80% solution. Then 130-x is the amount of 55% solution. The total amount of salt in the mix is ...
0.80x +0.55(130 -x) = 0.75·130
0.25x = 0.20·130 . . . . . . . subtract 0.55(130)
x = 0.20/0.25(130) = 104
130-x = 26
She should use 26 ounces of 55% solution and 104 ounces of 80% solution.
The roots are 3 and 17 so the distributed equation is
(x-3)(x-17)
distribute
x²-3x-17x+51
x²-20x+51
I hope I've helped!
$4,950 will be paid after 3 years.
$577.50 will be paid as interest for the total loan.
