Answer:
- ABCD is a rhombus, and a parallelogram
==================================
<h3>Given </h3>
- Points A(-6, - 1), B(4, - 6), C(2, 5), D(- 8, 10)
First, plot the points (see attached picture).
Then, connect all the points.
<h3>We see that:</h3>
- Opposite sides are parallel,
- Diagonals are perpendicular.
From our observation the figure is rhombus.
Let's confirm it with the following.
1) Find midpoints of diagonals and compare.
- AC → x = (- 6 + 2)/2 = - 2, y = (- 1 + 5)/2 = 2
- BD → x = (4 - 8)/2 = - 2, y = (- 6 + 10)/2 = 2
The midpoint of both diagonals is same (- 2, 2).
2) Find slopes of diagonals and check if their product is -1, this will confirm they are perpendicular.
- m(AC) = (5 - (-1))/(2 - (-6)) = 6/8 = 3/4
- m(BD) = (10 - (-6))/(-8 - 4) = - 16/12 = - 4/3
- m(AC) × m(BD) = 3/4 * (- 4/3) = - 1
<u>Confirmed.</u>
So this is a rhombus and also a parallelogram but <u>not</u> rectangle or square, since opposite angles are not right angles.
The inverse is b. If 4x+1 .NE. 61, then x-5 .NE.10
Answer:
If you are finding the equation using two points then the answer is
y = −2 x + 1
If this does not help, just ignore honestly.
Answer:
The fee amount applied to my bill will be $0.288 or 28.8 cents.
Step-by-step explanation:
The coffee cost under $10; therefore, a 6% fee will be applied.
6% of $4.8 is
Thus, the fee amount applied to my bill will be $0.288 or 28.8 cents.
<h3>
Answer: 155 inches</h3>
This is equivalent to approximately 12.917 feet.
===================================================
Work Shown:
(10 inches)/(2 days) = (x inches)/(31 days)
10/2 = x/31
10*31 = 2*x ... cross multiply
310 = 2x
2x = 310
x = 310/2
x = 155
Keep in mind that this water is being drained on a fairly continuous basis. This means that not all of the water is sticking around (we'd hope not anyway) at the same moment in time.
Note: 155 inches = 155/12 = 12.917 feet approximately.
--------------------------
Alternative method:
If the town got 10 inches in 2 days, this means it rains at a unit rate of 10/2 = 5 inches per day.
Multiply that by 31 days and we get 5*31 = 155 inches of total rain.
