Point form: (4,-2)
Equation form: x=4, y=-2
Answer:
d) 135º
Step-by-step explanation:
Note that the angle DCU is the sum of the angles DCB and BCU. The angle DCB is 90º because A B C D is a square, then all its angles are equal to 90º.
After attaching B U C to A B C D, we obtain a trapezoid A U C D. Since A U C D has at least one pair of parallel sides, then AU should be parallel to CD, thus the angle CBU must be 90º.
B U C is isoceles, so we conclude that other two angles must have the same size, and due to the sum of the angles of a triangle being 180º, then both BUC and BCU are equal to 45º
As a result, the angle DCU is equal to 90º+45º = 135º. Option d is the correct one.
Answer:
34.6 units
Step-by-step explanation:
The lenght of fencing required is the total distance between point A to B, B to C, C to D, and D to A. That is the distance between all 4 corners of the meadow.
The coordinates of the corners of the meadow is shown on a coordinate plane in the attachment. (See attachment below).
Let's use the distance formula to calculate the distance between the 4 corners of the meadow using their coordinates as follows:
Distance between point A(-6, 2) and point B(2, 6):

Let,





(nearest tenth)
Distance between B(2, 6) and C(7, 1):

Let,





(nearest tenth)
Distance between C(7, 1) and D(3, -5):

Let,





(nearest tenth)
Distance between D(3, -5) and A(-6, 2):

Let,





(nearest tenth)
Length of fencing required = 8.9 + 7.1 + 7.2 + 11.4 = 34.6 units
There are 8 3/4 cups in 6 cups of cereal because 3/4 times 8 equals 6
If we assume that when producing 190 bicycles vs 170 bicycles the difference in total daily cost is purely attributed to the extra 20 bicycles, THEN the cost to produce 20 bicycles (190 - 170) = 11600 - 10900 = 700
So the cost per bicycle is 700/20 = 35/bike
Now we can subtract the cost of bicycle production to determine the daily fixed cost that is not related to the number of bicycles.
i.e. 170 bicycles x 35 = 5950
So on a day that RideEm produces 170 bicycles, subtract 5950 from total day cost of 10900, which equals 4950.
So the fixed daily costs are $4950, and on top of this, the company pays 35/bike to produce.