If the solution of equation 4x-5 (x-1) is the same as that of equation 2 (AX + 4) = 3ax-12 concerning x, find the value of A fast

4X-5(X-1)=0
4x-5x+5=0
-x+5=0
x=5
This solution is also the solution of 2 (AX + 4) = 3ax-12
2（5a+4)=15a-12
10a+8=15a-12
a=4

We know the equation 3ax-12 = 2x about X. when a is an integer, the solution of the equation is a positive integer

3ax-12 = 2x 3ax-2x = 12, x = 12 / (3a-2) because x is a positive integer, 12 can divide 3a-2, so 3a-2 is 1,2,4,6,12, and a is an integer, so a = 1 or 2

Given the ellipse x ^ 2 + 2Y ^ 2 = 1, the equation of the straight line of the chord bisected by M passing through point m (1 / 2,1 / 2) is

Let P (x1, Y1) and Q (X2, Y2) be the intersection points of the line and the ellipse. Then the coordinates of the two points satisfy the elliptic equation, and they are substituted into the elliptic equation respectively, and then subtracted to get: (x1 & sup2; - x2 & sup2;) + 2 (Y1 & sup2; - Y2 & sup2;) = 0, that is, (y1-y2) / (x1-x2) = - (x1 + x2) / (2y1 + 2Y2) /. Since m (1 / 2,1 / 2) is the midpoint of PQ, X1 + x2 = 1 and Y1 + y2 = 1, substitute, So the equation of line PQ is y = - (1 / 2) (x-1 / 2) + 1 / 2, that is, 2x + 4y-3 = 0

Given the ellipse x ^ 2 / 16 + y ^ 2 / 4 = 1, if one of its strings AB is bisected by M (1,1), the equation of the straight line where the string AB lies is obtained
We need specific solutions,

Solution:
Let a and B coordinates be (x1, Y1), (X2, Y2) respectively
Substitute:
x1^2/16+y1^2/4=1
x2^2/16+y2^2/4=1
By subtracting the two formulas, we get the following result:
(x1+x2)(x1-x2)/16+(y1+y2)(y1-y2)/4=0
And X1 + x2 = 2 * 1 = 2, Y1 + y2 = 2
That is: 2 (x1-x2) / 16 + 2 (y1-y2) / 4 = 0
(y1-y2)/(x1-x2)=-1/4
That is, the slope of AB is - 1 / 4
So the equation is: Y-1 = - 1 / 4 (x-1)
It is reduced to x + 4y-5 = 0

Xiao Li read a book. On the first day, she read 10% of the whole book. On the second day, she read 35% of the whole book. On the third day, she read 44 pages, just half of the whole book. How many pages are there in this book?

A: there are 880 pages in this book

If y = x-2a + 1 is a positive proportional function, then the value of a is________ How to calculate?

∵ y = x-2a + 1 is a positive proportional function
∴-2a+1=0
2a=1
a=1/2
(the general formula of positive proportion function is y = KX, that is - 2A + 1 can only be 0)

A car from a to B is 350 meters away. It took 60% of the whole journey in the first three hours. At this speed, how many hours will it take to finish the whole journey?
Please think in a variety of ways, just list the formula without calculation
Solution 1:
Solution 2

Solution 1: 3 △ 60% = 5 hours,
5 × (1-60%) = 2 hours;
Solution 2: 350 × 60% △ 3 = 70 km / h
350 × (1-60%) / 70 = 2 hours
Solution 3: (1-60) △ 60% × 3 = 2 hours

If the square of M + Mn = 2, NM + (the square of n) = - 1, then what is the square of M + 2Mn + n

Add the above two formulas to the left, add the left, add the right to get the square of M + 2Mn + n = 2 + (- 1) = 1

The speed of a train is 1.25 times that of a car, and that of an airplane is 12.5 times that of a train. How many kilometers does an airplane fly per hour?

1250km
（80*1.25）*12.5=1250

How many times does the number 2 appear in 1,2,3,4,..., 499500?

Sort by one digit, two digit and three digit

If the solution of equation 4x-5 (x-1) is the same as that of equation 2 (AX + 4) = 3ax-12 concerning x, find the value of A fast