16+3/7-(12+2/5)=16-12+3/7-2/5=4+(3*5-2*7)/35=4+1/35
Answer:
4 and 5
Step-by-step explanation:
xy = 20
x = 2y - 3
(2y-3)y = 20
2y^2 - 3y = 20
2y^2 - 3y - 20 = 0
Solve the quadratic equation
you get y = 4, -5/2
Use 5 since it is one of the options
xy = 20, y = 4
x = 5
4 x^2 + 20 x + 25 = 7
Divide both sides by 4:
x^2 + 5 x + 25/4 = 7/4
Write the left-hand side as a square:
(x + 5/2)^2 = 7/4
Take the square root of both sides:
x + 5/2 = sqrt(7)/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
x = sqrt(7)/2 - 5/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
Answer: x = sqrt(7)/2 - 5/2 or x = -5/2 - sqrt(7)/2
Answer:
(2,3)
Step-by-step explanation:
To find the x-coordinate of the midpoint, find the average of -6 and 10. It is 4/2, or 2.
To find the y-coordinate, proceed similarly. Find the average of 2 and 4. It is 3.
Thus, the midpoint is (2, 3).
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