The slope of straight line passing through points a (m, 3) and B (1,2) is calculated, and the range of inclination angle α is pointed out

The slope of straight line passing through points a (m, 3) and B (1,2) is calculated, and the range of inclination angle α is pointed out

m=1,a=π/2.
M ≠ 1, k = 1 / (m-1) ∈ (- ∞, 0) and (0, + ∞)
So a ∈ (0, π)

My favorite fruit is apple

This is my favorite fruit fruit is my apple (English) English) English) τ α α α (α α α α α α α α - α - α - α - α - α - α - α - α - α - α - α - α - π941; _; _; _; _; _; _; _; _; _; _; _; _; _; _; _; _; _; _; _; _; τ α α α α - α - α οοοοοοοοοοι οι||}}|ツツツ||r é EST pomm (French) meine lieblingsfrucht ist Apfel (German)

If the parabola y = 2x2 + 8x + m has only one common point with the X axis, then the value of M is______ ．

There is only one common point between ∵ parabola and x-axis, ∵ Δ = 0, ∵ b2-4ac = 82-4 × 2 × M = 0; ∵ M = 8

Let f (x) = LNX + (2A / x), a ∈ R
(1) If the function f (x) is an increasing function on [2, positive infinity], find the value range of real number a
(2) If the minimum value of function f (x) on [1, e] is 3, find the value of real number a

（1）
The domain is x > 0
f'(x)=1/x-2a/x^2=(x-2a)/x^2
F (x) is an increasing function on [2, + ∞)
f'(x)=(x-2a)/x^2>=0
x>=2a
Xmin = 2
∴2>=2a
a

(- T & # 179; + 3T & # 178; - 5T + 7) + (5T & # 178; - 7T) - (T & # 179; - t + 3) help me to see. It's better to write the process

(-t³+3t²-5t+7)+(5t²-7t)-(t³-t+3)
=-t³+3t²-5t+7+5t²-7t-t³+t-3
=-2t³+8t²-11t+4

Re understanding of 9.6 multiplication fraction

I can't find it in the book. Could you tell me more about it?

In the quadrilateral ABCD, ∠ d = 60 °, the value of ∠ B is 20 ° larger than that of ∠ a, and the value of ∠ C is 2 times of that of ∠ a

Let a = x, then B = x + 20 ° and C = 2x. The theorem of sum of internal angles of quadrilateral obtains x + (x + 20 °) + 2x + 60 ° and 360 ° respectively, and the solution is x = 70 °. A = 70 °, B = 90 ° and C = 140 °

It is known that the line 3x + 4y-12 = 0 intersects the x-axis and y-axis at two points a and B, and the point C moves on the circle (X-5) 2 + (y-6) 2 = 9, then the difference between the maximum and minimum value of △ ABC area is 0______ ．

Let a straight line parallel to a known line and tangent to circle (X-5) 2 + (y-6) 2 = 9 be made, and the tangent points are P1 and P2 respectively. As shown in the figure, when moving point C moves on circle (X-5) 2 + (y-6) 2 = 9, if C coincides with point P1, the area of △ ABC reaches the minimum; when C coincides with point P2, the area of △ ABC reaches the maximum ∵

The parabola y = - X & # 178; + (m-1) x + m intersects the Y axis at (0,3)
(1) Find out the value of M and draw this parabola (2) find out the coordinates of its intersection with the X axis and the vertex coordinates of the parabola (3) when taking what value, the parabola is above the X axis? (3) when taking what value of X, the value of Y decreases with the increase of the x value

A:
The parabola y = - X & # 178; + (m-1) x + m intersects the Y axis at (0,3)
1) Point (0,3) is substituted into the equation to get: - 0 + 0 + M = 3
The solution is m = 3
So: y = - X & # 178; + 2x + 3, the image is shown in the figure below
2) At the intersection point with X axis, the ordinate value is 0: - X & # 178; + 2x + 3 = 0
x²-2x-3=0
(x-3)(x+1)=0
X = - 1 or x = 3
So: the intersection point with X axis is (- 1,0), (3,0)
When x = 1, x = 1, y = 4, vertex coordinates (1,4)
3) When - 1 & lt; X & lt; 3, the parabola is above the x-axis
4) When X & gt; = 1, the value of Y decreases with the increase of X

The sum of three consecutive integers is 2013. Let the largest of the three integers be x, and the countable equation be

x+x-1+x-2=2013
x=672