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Answer:
127.28 feet
Step-by-step explanation:
Given
Shape of basketball diamond = Square
Length of a side = 90 feet
If the length of a side is 90 feet then the length of other sides is 90 feet.
By finding how far the catcher, at home plate, throw to get the runner "out", we are basically finding the distance from 2nd base to home
This means we're calculating the diagonal of the field..
(Since the field is a square, it has a right angle at 1st base)
Let the diagonal be representing by x.
From Pythagoras,
x² = 90² + 90²
x² = 8100 + 8100
x² = 16200
x = √16200
x = 127.2792206135785
x = 127.28 feet ------ Approximated
7, 14 would be it but you have to divide the whole equation by 2 to get the y alone
Answer:
x = 3
, y = 5
Step-by-step explanation:
Solve the following system:
{3 y - 7 x = -6 | (equation 1)
3 y - 3 x = 6 | (equation 2)
Subtract 3/7 × (equation 1) from equation 2:
{-(7 x) + 3 y = -6 | (equation 1)
0 x+(12 y)/7 = 60/7 | (equation 2)
Multiply equation 2 by 7/12:
{-(7 x) + 3 y = -6 | (equation 1)
0 x+y = 5 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{-(7 x)+0 y = -21 | (equation 1)
0 x+y = 5 | (equation 2)
Divide equation 1 by -7:
{x+0 y = 3 | (equation 1)
0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = 3
, y = 5
