Answer: last graph
Step-by-step explanation: Graphs of functions that are ODD, are symmetric about the origin.
Graphs of function that are EVEN, are symmetric about y-axis.
We need to figure out which one of the 4 are EVEN. So we take y-axis as the mirror and see both sides, LEFT and RIGHT and see i the points are symmetric or not.
Graph 1, 2, 3 ---- not symmetric about y-axis
Graph 4 ------- Definitely every point to left side of y-axis has a corresponding mirror point to the right of y-axis. So this is an EVEN FUNCTION.
Either of two Angles whose sum is 180 degrees
ANSWER:
Let width be x, then length be 2x – 2
Now, Area of rectangle = L × B
- x(2x – 2) = 40
- 2x² – 2x – 40 = 0
- 2(x² – x – 20) = 0
- x² – x – 20
- x² –5x + 4x – 20 = 0
- x(x – 5) + 4(x – 5) = 0
- (x + 4)(x – 5) = 0
- x = – 4; 5
Hence, width can't be negative.
So width = 5in.
And Length = 2 × 5 – 2
So, <u>Correct choice</u> - [D] Length is 8 in, Width is 5 in.
Answer:
5 - 3y
Step-by-step explanation:
Step 1: Convert product of y and 3 into numbers
Product = multiply
y = y
3 = 3
3y
Step 2: Convert 5 minus into numbers
minus = subtract
5 - 3y
Answer: x = 11
To start, we know that a whole circle equals 360 degrees. If we subtract the 2 arcs we know, 85 and 31, we have 244 degrees left for the 2 congruent arcs. Dividing that by 2 gives us 122 for each arc.
Now, write the equation: 122 = 13x - 21
Solve this, to find the x = 11.
