Factorization: (20x-15) (7X-2) + (4x-3) (15-35x)

Factorization: (20x-15) (7X-2) + (4x-3) (15-35x)

（20x-15）（7x-2）+（4x-3）（15-35x）
=5(4x-3)(7x-2)+(4x-3)(15-35x)
=(4x-3)(35x-10)+(4x-3)(15-35x)
=(4x-3)(35x-10+15-35x)
=5(4x-3)

Factorization X & sup2; + 7x-18 =? Solution
Factorization X & sup2; + 7x-18 =? Solution

（x+9)(x-2)=0
x=-9,x=2

Find the tangent equation of the curve f (x) = LNX at the intersection with X axis

Y '= 1 / X of y = LNX derivation
Substituting x = 1
So k = y '= 1
So there is
Tangent equation y-0 = X-1

The volume of an open bucket is 24 cubic decimeters, and the bottom area is 7.5 square decimeters. There is a hole 0.7 decimeters away from the opening of the bucket. How many kg can this bucket hold? (1 cubic decimeter of water mass = 1kg)

The height is: 24 △ 7.5 = 3.2 decimeters
Now this bucket can hold: 7.5x (3.2-0.7) = 18.75 cubic decimeters
18.75*1=18.75kg
It can hold 18.75kg

The three views, front view, top view and left view of a space geometry are right triangles, and the surface area and volume of the circumscribed ball of the geometry are 8 pies and 1
Then the volume of the geometry is? The main view is a large isosceles true angle triangle, and the left view is a right triangle. It is known that the top view is an isosceles right angle triangle, the right side is root 2, and the hypotenuse is 2.

This is a triangular pyramid (similar to an angle cut from a cube, whose volume is equal to 1 / 6 of the volume of the cube). The surface area of the circumscribed sphere is 8 π, which is obtained from 4 π R & # 178; = 8 π, r = √ 2. Let the edge length of the cube be a, then the volume diagonal = √ 3

As shown in the figure, it is an unfolded drawing of a rectangular carton without a cover. The bottom area of the carton is 600cm2. (1) what is the height of the carton? (2) what is the perimeter of the unfolded drawing?

(1) let the length of the bottom be 3x and the width be 2x
Then 2x &; 3x = 600, the solution is x2 = 100, and the solution is x = 10
So the height is 10 cm
(2) The perimeter of the expanded figure is 2 (5x + 4x) = 180cm

How many cubic meters is a ton of water

1 cubic meter
One ton = 1000 kg water density: 1.0 x 10 ^ 3 kg / m ^ 3
According to: mass / volume = density
So water volume = 1 cubic meter

To solve the equation 7200 / x-720-7200 (1 + 20%) / x = 4, the denominator of the first formula is x-720. The second formula is 7200 (1 + 20%) and the denominator is X

7200/（x-720）-7200（1+20%）/x=4
7200x-7200*1.2(x-720)=4x(x-720)
7200x-8640x+8640*720=4x²-2880x
4x²-1440x-8640*720=0
x²-360x-2160*720=0
The formula solution is X1 = 1440, X2 = - 1080
Cross phase multiplication (x-1440) (x + 1080) = 0

Given that the parabola y = ax2-5ax + 4 passes through the three vertices of △ ABC, the points a and C are on the x-axis and y-axis respectively, and BC ‖ x-axis, AC = BC, the analytical formula of the parabola is obtained

From the parabola y = ax2-5ax + 4, we can know C (0,4), the axis of symmetry x = - B2A = 52, then BC = 5, B (5,4), AC = BC = 5, OC = 4. In RT △ AOC, according to Pythagorean theorem, we get Ao = 3, a (- 3,0) B (5,4) C (0,4). By substituting the coordinate of point a into y = ax2-5ax + 4, we get the analytic formula of parabola a = - 16, passing through three points a, B and C as y = - 16x2 + 56x + 4

The density of a pattern is 1.85g/m3, the moisture content is 34%, and the specific gravity of soil particles is 2.7%
If you want to have a formula, you'd better explain it

Hi, let me tell you