Distance between Station E and Station G is 8.48 miles (Approx.)
<u>Given:</u>
Distance 3 miles east
Distance 5 miles south
<u>Find:</u>
Distance between Station E and Station G
<u>Computation:</u>
Co-ordinate of Point E = (-3 , 1)
Co-ordinate of Point G is 3 mile east and 5 mile south
So,
Co-ordinate of Point G = (3 , -5)
Distance between two point = √(x2 - x1)² + (y2 - y1)²
So,
Distance between Station E and Station G = √(3 + 3)² + (-5 - 1)²
Distance between Station E and Station G = √(6)² + (-6)²
Distance between Station E and Station G = √36 + 36
Distance between Station E and Station G = √72
Distance between Station E and Station G = 8.48 miles (Approx.)
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Answer:
Correct!
Step-by-step explanation:
That’s right
2x -3y = 13
4x -y = -9
Multiply the second equation by -3 to make the coefficient of Y opposite the first equation.
4x -y = -9 x -3 = -12x + 3y = 27
Now add this to the first equation:
2x -12x = -10x
-3y +3y = 0
13 +27 = 40
Now you have :
-10x = 40
Divide each side by -10:
x = 40 / -10
x = -4
Now you have a value for x, replace that into the first equation and solve for y:
2(-4) - 3y = 13
-8 - 3y = 13
Add 8 to both sides:
-3y = 21
Divide both sides by -3:
y = 21/-3
y = -7
Now you have X = -4 and y = -7
(-4,-7)
Answer::2,075,673,600 batting orders may occur.
Step-by-step explanation: A baseball team has 4 pitchers, who only pitch, and 12 other players, all of whom can play any position other then pitcher.