Answer:
Reflected
Step-by-step explanation:
The figure in the problem is being reflected over the X-axis.
The enclosed shape is that of a trapezoid. The area of a trapezoid is the product of the height of it (measured perpendicular to the parallel bases) and the average length of the two parallel bases. The formula is generally written ...
... A = (1/2)(b₁ + b₂)·h
Here, the base lengths are the y-coordinates at x=4 and x=9. The height is the distance between those two x-coordinates: 9 - 4 = 5.
You are expected to find the y-values at those two points, then use the formula for the area of the trapezoid.
You can save a little work if you realize that the average of the two base lengths is the y-coordinate corresponding to the average x-coordinate: (9+4)/2 = 6.5. That is you only need to find the y-coordinate for x=6.5 and do the area math as though you had a rectangle of that height and width 5.
Going that route, we have
... y = 2(6.5) - 1 = 13 - 1 = 12
Then the trapezoid's area is
... A = 12·5 = 60 . . . . square units.
She uses 11/36 yards of string for each.
In this problem, you're dividing the amount of string by the number of banners, so 11/12 ÷ 3. To do this though, it's easiest to convert the 3 into a fraction. After you do this, you're left with:
11/12 ÷ 3/1
When dividing fractions, you flip the second fraction upside down and change the operation to its opposite, which gives you:
11/12 × 1/3
Then you just multiply across. 11×1=11 and 12×3=36, so you're left with 11/36 yards of string.
Answer:
choose all except " The outcome of events A and B are dependent on each other"
Step-by-step explanation:
I got it right on K.A! (:
