Solve the problem as directed. If x and y vary directly, and x = 10 when y = 3, what will be the value of x when y = 9?
2 answers:
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Answer:
The maximum height is reached after 3.75 seconds.
Step-by-step explanation:
Assuming the deceleration due to gravity is unaided by air resistance, gravity causes the ball to lose vertical speed at the rate of 32 ft/s every second. The initial vertical speed of 120 ft/s will decline to zero when t satisfies ...
... 120 ft/s - (32 ft/s²)t = 0
... (120 ft/s)/(32 ft/s²) = t = 3.75 s
The ball will not go any higher after its vertical speed is zero.
I have attached the image showing the location of the three schools.
Answer:
Should be built at the centroid of the triangle formed by points A, B and C.
Step-by-step explanation:
From the attached image, we see that if we join the 3 points by a straight line, they will form a triangle.
Now, to get a location that will be roughly the same distance from all 3 schools, it means a point that is equal to each of 3 vertex of the triangle.
The point that is equal to each vertex of a triangle is known as "Centroid".
Now, to find this centroid, we will add up the (x, y) coordinates of the 3 vertex and divide by 3.
For example;let's assume ;A has a coordinate of (x1, y1) ; B has a coordinate of (x2, y2) ; C has a coordinate of (x3, y3).
The coordinates of the centroid will be;
[(x1 + x2 + x3)/3], [(y1 + y2 + y3)/3]
