Answer:
The slope is -1 and y-intercept is at y = -3.
Step-by-step explanation:
-7y= 7x+21
Divide through by -7:
y = -x - 3
Answer:
(1, π/3 +2kπ), (-1, 4π/3 +2kπ) . . . where k is any integer
Step-by-step explanation:
Adding any multiple of 2π to the angle results in the same point in polar coordinates.
Adding 180° (π radians) to the point effectively negates the magnitude. As above, adding any multiple of 2π to this representation is also the same point in polar coordinates.
There are an infinite number of ways the coordinates can be written.
Answer:
Step-by-step explanation:
The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.
The distance from the foot of the ladder to the base of the house represents the adjacent side of the right angle triangle.
To determine the height, h that the ladder reaches, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
15² = 9² + h²
225 = 81 + h²
h² = 225 - 81 = 144
h = √144 = 12 feet
Answer:
Step-by-step explanation:
Length = L.
Width = 2L-3.
A = L * W = 170.
L * (2L-3) = 170.
2L^2 - 3L - 170 = 0,
L = (-B +- Sqrt(B^2-4AC))/2A.
L = (3 +- Sqrt(9 + 1360))/4,
L = (3 +- 37)/4 = 0.75 +- 9.25 = 10, and -8.5. In.
Use positive value: L = 10 In.
Answer:
3
Step-by-step explanation:
18+18 = 36. 42-36 = 6. 6 / 2 = 3
