Answer:
1. This graph is not a function, because for every y there are more than one x.
2. This graph is not linear because it is not a straight line.
3. It took them 6 hours to get to their destination.
4. The destination was 325 miles away.
5. They might have stopped at a restaurant to eat.
Answer:
(I rotated the trapezoid on the origin)
T' (-2, 2)
R' (-2, 5)
A' (-6, 2)
P' (-7, 5)
Step-by-step explanation:
The original points of the trapezoid were (2, -2), (2, -5), (6, -2) and (7, -5). Flipping trapezoid TRAP on the origin has the x and y coordinates showing their opposites from the original. So, find the opposite of each x and y coordinate to get the coordinates of the rotated trapezoid T'R'A'P'.
5. The 5th figure will have 30 tiles.
6. The 6th figure will have 42 tiles.
7. The pattern is non-linear (quadratic).
8. The 20th figure can be made with 420 tiles.
_____
The Nth figure is made with n*(n+1) tiles. To answer question 8, you must solve
.. n(n +1) = 420
.. n^2 +n -420 = 0
.. (n +21)(n -20) = 0
.. n = 20 or -21 . . . . the negative solution is extraneous
Answer:
-4n - 11
Step-by-step explanation:
Step 1: Convert words into an expression
11 less than the product of a number and -4
(n * -4) - 11
<em>-4n - 11</em>
<em />
Answer: -4n - 11
<u>If needed solve</u>
-4n - 11 + 11 = 0 + 11
-4n / -4 = 11 / -4
<em>n = -2.75</em>
Answer:
C
Step-by-step explanation:
To find the area of a composite figure, separate it into the regular parts which make the irregular shape. This shape is composed of a semi-circle and a rectangle. Find the area by finding the area of each shape.
Semi-circle:
The semi-circle has a diameter of 2 + 4 + 2 = 8. The area this figure uses the radius which is half the diameter. The radius is 4. To find the area substitute r = 4 into 
. However the semi-circle has a smaller circle cut out of it with radius 2. The area of the smaller circle is 
. The semi circle in the shape is the areas subtracted which equals 12π.
Rectangle:
The area of the rectangle is found using A = b*h = 2*5 = 10.
The total area is 12π + 10 meters squared.
