The answer to page 32-37 of volume one

The answer to page 32-37 of volume one


Answer your question: 1. The solution of the former equation is: x = (2m-7) & 47; 3. The solution of the latter equation is: x = (2-m) & 47; 2. Now the title says: the former solution is smaller than the latter one, that is: (2m-7) & 47; 3 + 1 = (2-m) & 47; 2. The solution of the equation M = 2 is also obtained; 395 we have said before when there is a solution and when there is no solution, We can change the equation into x = (3-B) & 47; (a + 1) if there is no solution, then the numerator ≠ 0 and denominator = 0, that is, in a = - 1, B ≠ 3 (2), the equation is the same, X = (3-B) & 47; (a + 1) if the solution is all real numbers, then the numerator = 0 and denominator = 0, that is, a = - 1, B = 3



If a 6.28m long wire is enclosed into a square, the area of the square is______ M2; if it is enclosed in a circle, the area of the circle is______ m2.


(1) 6.28 △ 4 = 1.57 (m), 1.57 × 1.57 = 2.4649 (M2), a: the area of the enclosed square is 2.4649 m2. (2) 6.28 △ 3.14 △ 2 = 1 (m), 3.14 × 12 = 3.14 (M2), a: the area of the enclosed circle is 3.14 M2. So the answer is: 2.4649; 3.14



If the value of the polynomial 2x - (7 + 2x) / 3 is 7, what is the value of X?


2x-(7+2x)/3=7
6x-(7+2x)=21
6x-2x-7=21
4x=21+7=28
x=7



An applied problem in high school mathematics
The two families share a piece of land ABC, which is an isosceles right triangle with an angle of C = 90 ° and AC = a M. if the two families are going to divide a dividing line PQ (straight line segment), the land area obtained by the two families will be equal, where P and Q are on line AB and AC respectively
(1) If you are going to build a wall on the dividing line, how can you draw the dividing line to minimize the cost of building the wall?
(2) If you plan to plant the same fruit tree on the dividing line, how can you draw the dividing line to maximize the output of the fruit tree?


Take C as the origin, a = (0, a), B = (a, 0), let P = (x1, Y1), q = (0, Y2), satisfy the equation of AB line at ab point according to P, in addition, if the areas of two blocks are equal, a function of PQ length with respect to any unknown quantity can be obtained, and then the extreme point can be obtained by finding the derivative equal to 0



The sum of the areas of two squares is 10 square centimeters, and the sum of their girths is 16 centimeters. If the side length of a square is x centimeters, according to the equation in the title,


X^2+((16-4X)/4)^2=10
X = 1 or x = 3



The student knew that the round light spot under the shade of the tree was the image of the sun on the ground through the small holes between the leaves. He measured the diameter of the light spot was 2.8 cm, and the light spot was 2.8 cm
The distance of the small hole is 3.0 meters. According to the book, the distance between the sun and the earth is 1.5 × 10 cubic meters, which can be used to estimate the diameter of the sun?
The distance between the spot and the hole is 3.0 meters


The distance between the sun and the earth can be approximated as the distance between the sun and the small hole. The triangle formed by the diameter of the sun and the small hole and the diameter of the light spot are similar to the triangle formed by the small hole. Then there are 11 cubic meters of 0.028/3 = x / 1.5 * 10, X is the diameter of the sun, and 11 cubic meters of x = 0.028 * 1.5 * 10 / 3 = 9 cubic meters of 1.4 * 10



What's the difference between formula, definition, determination and expression in physics?


In fact, it's not necessary to be so clear
Formula is a general term, as long as the data is not brought in can be understood as a formula, but the general formula is the most original unchanged form
Definition formula is to define a physical quantity. For example, the definition formula of power is work divided by time



The functional relationship between the area y of a circle and its circumference x is____ Yes_____ The value range of independent variable is_
The functional relationship between the area y of a circle and its circumference x is____ Yes_____ The value range of independent variable is_____


Y = x square / 4 π, is a quadratic function, and the value range of X is (0, + infinity)
If you don't understand this question, please understand,



Simple calculation of 57 × 66 × 17 of 73


I forgot what simple arithmetic is



If f (x) = 1 / (2 ^ X - 1) + A is an odd function, find the value of a and the range of function


1. Take the special value x = - 1, because f (x) is an odd function, so f (- 1) = - f (1)
The equation is - 2 + a = - A-1, and the solution is a = 1 / 2
2. Because 2 ^ x > 0, so 2 ^ X-1 > - 1, so 1 / (2 ^ x-1) range is (negative infinity, - 1) U (0, positive infinity), so f (x) = 1 / (2 ^ x-1) + 1 / 2 range is (negative infinity, - 1 / 2) U (1 / 2, positive infinity),