The fourth power of a plus the fourth power of B is 53 and ab is 14. Find a + B the fourth power of a minus the fourth power of B

The fourth power of a plus the fourth power of B is 53 and ab is 14. Find a + B the fourth power of a minus the fourth power of B




If M and N are integers, then the value of the quadratic power of (M + n) - (m-n) must not be ()


The second power of (M + n) - (m-n)
=(m+n+m-n)(m+n-m+n)
=(2m)(2n)
=4mn
It's even
It must not be an odd number



① If the 0 th power of (a + b) is meaningless, then the relationship between a and B is (). ② if the M + n th power of X △ n th power of x = x, then M = ()


Because the 0 power of 0 is meaningless, so a + B = 0 (2) x (M + n) / x n = x m power = x 3 power, so m = 3



10N is such a number ()
A. Ten n-product B. n-product C. 1 followed by (n-1) zeros D. 1 followed by (n + 1) zeros


10N is the multiplication of N 10s



There is a batch of goods to be transported to a certain place. The owner of the goods is going to rent two types of trucks from the automobile transportation company. The situation of renting these two kinds of trucks in the past two times is shown in the table
The first time, the second time
Number of class a trucks (unit: vehicles) 25
Number of type B goods vehicles (unit: vehicles) 36
Accumulated tonnage (unit: ton) 15.535
Now we hire three A-type trains and five B-type trains. We have just finished the shipment at one time. If we pay 30 yuan for each ton, how much is the freight payable by the owner?


Let car a transport x tons of goods each time and car B transport y tons of goods each time,
2X+3Y=15.5
5X+6Y=35
The solution of binary linear equations is x = 4, y = 7.5
At present, we hire three A-type trains and five B-type trains to transport goods at one time, z = 3x + 5Y = 12 + 37.5 = 49.5
Freight M = 49.5 * 30 = 1485 yuan



Find the equation of the circle with P (0, - 1) tangent to the line x + Y-1 = 0 and the center of the circle on the line y = - 2x


Let the coordinates of the center of the circle be (a, - 2A) and the radius of the circle be r, then there is:
r=|a-2a-1|/√2
r^2=(a+1)^2/2
The equation of circle can be set as follows:
(x-a)^2+(y+2a)^2=(a+1)^2/2
By substituting point P into it, we can get the following results
a^2+(2a-1)^2=(a+1)^2/2
The results are as follows
9a^2-10a+1=0
(9a-1)(a-1)=0
So:
A = 1 or a = 1 / 9
The equation of circle is as follows:
(x-1) ^ 2 + (y + 2) ^ 2 = 2 or
(x-1/9)^2+(y+2/9)^2=50/81.



(engineering problem) for a batch of goods, it takes 10 hours for car a to transport alone, 12 hours for car B to transport alone, and 15 hours for car C to transport alone,
How many hours can a, B and C be transported together?


Cooperation = 1 ÷ (1 / 10 + 1 / 12 + 1 / 15) = 4 hours



It is known that the values of the equations 4x + 1 = 3x-2a and 3x-1 = 6x + 2A about X are the same


a=-1



Nine fifths of the tons of Huangsha were transported to Xiaohong's house for decoration. One third of the total was used for the first time, and one fourth for the second time, leaving a few parts of the total unused
I'll give more reward points if there's a formula


1 - (1 / 3) - (1 / 4)
=(2 / 3) - (1 / 4)
=(8 / 12) - (3 / 12)
=5 out of 12
It's not about the total



Finding the analytic formula of the line y = 2x + 1 with respect to the axis symmetry of the line x = 1


First find two points on the line y = 2x + 1
(0,1)(-1,-1)
(0,1) the point of symmetry about the line x = 1 is (2,1)
(- 1, - 1) the point of symmetry about the line x = 1 is (3, - 1)
The desired line passes (2,1) (3, - 1)
So the equation is y = - 2x + 5