دائرة مركزها o فيها الوتران cd,ab اذا علمت ان النقطة n نقطة منتصف الوتر cd والنقطة m نقطة منتصف الوترab وكان om=on وطول cn=6cm
2 answers:
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Answer:
Option (b)
Step-by-step explanation:
Let the points represented by the given table lie on a line.
And the equation of the line is,
y = mx + b
Where m = slope of the line
b = y-intercept
Let the points lying on the line are (0, -2) and (3, -3)
Slope of the line 'm' =
m =
m =
m = -
y-intercept 'b' = (-2)
Equation of the line is,
y =
This equation matches with equation given in option (b).
Option (b) will be the answer.
I hope this helps you
Answer:
The coordinates of the vertex are (4 , 16)
Step-by-step explanation:
The coordinates of the vertex of a parabola which represents a quadratic equation y = ax² + bx + c are (h , k), where
- h =
- k is the value of y at x = h
∵ The equation of the parabola is y = - x² + 8x
- Compare it by the form of the equation above to find a, b and c
∵ a is the coefficient of x²
∴ a = -1
∵ b is the coefficient of x
∴ b = 8
∵ c is the numerical term
∴ c = 0
The vertex of the parabola is (h , k)
∵ h =
- Substitute the values of a and b
∴ h =
∴ h = 4
∵ k = y at x = h
- Substitute x by 4 and y by k in the equation
∵ k = - (4)² + 8(4)
∴ k = -16 + 32
∴ k = 16
∴ The coordinates of the vertex are (4 , 16)