Ideal timeline of the dance routine = 4 minutes = 4 × 60 seconds = 240 seconds
Variation allowed in the dance routine timeline = +- 5 seconds
Let the timeline of the dance routine be T
⇒ 240 seconds - 5 seconds < T < 240 seconds + 5 seconds
⇒ 235 seconds < T < 245 seconds
⇒ minutes < T < minutes
⇒ 3.92 minutes < T < 4.08 minutes
So the least possible time of the dance routine can be 3.92 minutes (or 235 seconds) and the greatest possible time of the dance routine can be 4.08 minutes (or 245 seconds)
Equation is y = -1/6x
Step-by-step explanation:
- Step 1: Given that slope, m = -1/6 and a coordinate (12,-2). Write the equation and find the y-intercept, b.
⇒ y = mx + b
⇒ -2 = -1/6 × 12 + b
⇒ -2 = -2 + b
∴ b = 0
- Step 2: Write the equation in slope intercept form.
⇒ y = -1/6x + 0
⇒ y = -1/6x
1) + $12, since it is a profit
2) -1440 ft, since it is below the sea level
3) - 22°F, since it is below
4) + 31 yards, since it is a gain.
Answer:
uh 792?
Step-by-step explanation:
782
+ 10
----------
792
Graph images undergo transformations, one of the types of transformations are rotations.
rotation is done when each point of the image rotates 90° around a point in the counterclockwise manner.
when rotation is done, (x,y) -> (-y,x)
therefore when taking points from image to original then the reverse is done ;
(-y,x) --> (x,y)
the coordinates of image point q' is (-3,4)
before rotation then the coordinates are (4,3)
answer is (4,3)