Answer:
B) f(x) = -16(x - 1.5)² + 40
Step-by-step explanation:
The equation we have is: h(t) = -16x² + 48x + 4
The answers are all in vertex form, so we need to covert this equation into vertex form by completing the square.
Step 1: factor out -16 from the first 2 terms...
-16(x² - 3x) + 4
Step 2: complete the square on this term...
-16(x² - 3x + (3/2)² - (3/2)²)
-16(x² - 3x + (3/2)²) + 4 + 16(3/2)²
-16(x - 3/2)² + 4 + 16(9/4)
-16(x - 1.5)² + 4 + 4(9)
-16(x - 1.5)² + 40
So f(x) = -16(x - 1.5)² + 40
Answer:
10 rounds.
Step-by-step explanation:
Let x represent number of rounds around the field.
We have been given that the distance around our playing field is 300 meters long. So distance covered in x rounds would be meters.
We are also told that your coach wants you to run 3 kilometers. Let us convert 3 km in meters.
1 km = 1000 m
3 km = 3*1000 m = 3000 m
Now, we will equate total distance covered in x rounds by 3000 as:
Therefore, you need to run 10 times around the field.
Answer:
x=2+i, 2-i
Step-by-step explanation:
Use symbolab, it's literally so easy.
A: This is a rectangular pyramid. This is because once a square is divided in half, all of the side lengths are no longer equilateral, being only half as wide as they are long.
B: This becomes a triangular pyramid. If it's perpendicular to the base, that means that it bisects the angle of the square, thus creating taking away one vertex of the complete shape.
Answer:
B
Step-by-step explanation:
it's more like 10 points