1) The y- axis is where x = 0, so the line "y = -1/2x - 3" will cross the y-axis when x = 0. You plug in "x = 0" into the equation, and get y = 0 -3, so y = -3. That means the line " y = -1/2x - 3" will cross the y-axis ar (0, -3)
2) If there are 2 parallel lines, then there is no solution, because the definition of parallel lines is, " 2 lines in the same plane, that never meet." That makes the solution inconsistent.
Answer:
8/17
Step-by-step explanation:
The sine of an angle is defined as the opposite side to the reference angle divided by the hypotenuse.
The side opposite the angle is always the side not connected to the reference angle. In this case the opposite side = ZY
The hypotenuse = XZ
Sin(X) = ZY/XZ
Sin(X) = 1634 = 8 / 17
Answer:
Step-by-step explanation:
Let x = number of hours to pull weed in a day
Let y = number of hours to now lawn in a day
It takes her an average of 3 hours to pull weeds and an average of 2.5 hours to mow the lawn. She can work no more than 8 hours a day.
This means
3x + 2.5y is lesser than/ equal to 8
She charges $50 to weed and $65 to mow the lawn.
This means she charges
50x +65y
She needs to cover her expenses of $120 to make a profit. This means she needs to earn an amount greater than or equal to $120
50x + 65y greater than or equal to 120
B: The width of the vegetable bed is 5 feet. The length is 13 feet.