Find the intersection and vertex coordinates of the square + 2x + 3 of function y = x and X axis

Find the intersection and vertex coordinates of the square + 2x + 3 of function y = x and X axis

(x+1)^2+2
The vertex coordinates are (- 1,2)
x^2+2x+3=0
=> 2^2-4*1*3

If AB = 3cm, BC = 5cm, the area of the overlap △ DEF is ()
A. 7.5cm2B. 5.1cm2C. 5.2cm2D. 7.2cm2

If AE = x, then a ′ e = xcm, de = 5-x (CM), ｜ a ′ E2 + a ′ D2 = ED2, ｜ x2 + 9 = (5-x) 2, the solution is: x = 1.6, ｜ de = 5-1.6 = 3.4 (CM), and the area product of ｜ DEF is: 12 × 3.4 × 3 = 5.1 (cm2)

What is the M-1 power of 8 to the M-1 power of 4 to the M + 1 power?
What is the M-1 power of 8 / 4 / M + 1 power of 2

8^m=2^3m
4^(m-1)=2^(2m-2)
2^[3m-(2m-2)-(m+1)]=2

Who can help me find 100 math problems in grade one?
Better have an answer

3.3ab-4ab+8ab-7ab+ab=______ .
4.7x-(5x-5y)-y=______ .
5.23a3bc2-15ab2c+8abc-24a3bc2-8abc=______ .
6.-7x2+6x+13x2-4x-5x2=______ .
7.2y+(-2y+5)-(3y+2)=______ .
11.(2x2-3xy+4y2)+(x2+2xy-3y2)=______ .
12.2a-(3a-2b+2)+(3a-4b-1)=______ .
13.-6x2-7x2+15x2-2x2=______ .
14.2x-(x+3y)-(-x-y)-(x-y)=______ .
16.2x+2y-[3x-2(x-y)]=______ .
17.5-(1-x)-1-(x-1)=______ .
18.( )+(4xy+7x2-y2)=10x2-xy.
19.(4xy2-2x2y)-( )=x3-2x2y+4xy2+y3.
21. Given a = x3-2x2 + x-4, B = 2x3-5x + 3, calculate a + B=______ .
22. Given a = x3-2x2 + x-4, B = 2x3-5x + 3, calculate a-b=______ .
23. If a = - 0.2, B = 0.5, the value of the algebraic formula - (| A2B | - | AB2 |) is______ .
25. Subtract 3m4-m3-2m + 5 from a polynomial to get - 2m4-3m3-2m2-1, then the polynomial is equal to______ .
26.-(2x2-y2)-[2y2-(x2+2xy)]=______ .
27. If - 3a3b2 and 5ax-1by + 2 are of the same kind, then X=______ ,y=______ .
28.(-y+6+3y4-y3)-(2y2-3y3+y4-7)=______ .
29. The result of simplifying the algebraic expression 4x2 - [7x2-5x-3 (1-2x + x2)] is______ .
30.2a-b2+c-d3=2a+( )-d3=2a-d3-( )=c-( ).
31.3a-(2a-3b)+3(a-2b)-b=______ .
32. The reduced algebraic formula X - [y-2x - (x + y)] is equal to______ .
33.[5a2+( )a-7]+[( )a2-4a+( )]=a2+2a+1.
34.3x-[y-(2x+y)]=______ .
35. Simplify | 1-x + y | - | X-Y | (where x0) is equal to______ .
36. It is known that x ≤ y, x + Y - | X-Y|=______ .
37. Known x

The length of a rectangle is 3 / 5 decimeters, which is 1 / 3 decimeters longer than the width. How many decimeters is the circumference of the rectangle?

Kuan Shi
3 / 5-1 / 3 = 4 / 15 (decimeter)
What is the circumference of a rectangle
(3 / 5 + 4 / 15) × 2 = 26 / 15 (decimeter) = 1 and 11 / 15 (decimeter)

1/1*3+3/3*5+1/5*7… 1/2005*2007+1/2007*2009+1/2009*2011

Each factor is expanded twice, a 1 / 2 is put out outside the brackets, 2 / 3 × 5 is equal to 1 / 3 - 1 / 5, and so on
The original formula is 1 / 2 (2 / 1 × 3 + 2 / 3 × 5 + 2 / 5 × 7 2/2005×2007+ 2/2007×2009 + 1/2009×2011)
=1/2(1- 1/3 + 1/3 - 1/5 + 1/5 -1/7 +…… 1/2005 - 1/2007 + 1/2007 - 1/2009 + 1/2009 - 1/2011)
= 1/2 (1-1/2011)
= 1/2 × 2010/2011
= 1005 / 2011

It takes 36 seconds for a train to pass the 1500 meter long bridge and 4 seconds for it to pass the sentry at the end of the bridge. What is the length of the train______ Rice

Let the length of the car be X. since it takes 4 seconds to pass the sentry at the bridge head, the following equation X4 = 1500 + X36 can be solved to get x = 187.5, so the answer is 187.5 meters

The perimeter ratio of the two rectangles is 10; 9. The length to width ratio of the first rectangle is 7:3, and the length to width ratio of the second rectangle is 5:4______ ．

According to the stem analysis, the ratio of the sum of the length and width of the two rectangles is 10:9. Suppose the sum of the length and width of the first rectangle is 10a, then the length is 10A × 77 + 3 = 7a, and the width is 10a-7a = 3A; if the sum of the length and width of the second rectangle is 9a, then the length is 9a × 55 + 4 = 5a, and the width is 9a-5a = 4A

F (x) = log2 (x) - logx (4) x ∈ (0,1), we also know that the sequence an satisfies f (2An) = 2n, (n ∈ n *) to find the general term of the sequence an
Log2 (x) - logx (4) x ∈ (0,1), 2 and X are base numbers respectively

Substituting x = 2An, 2n = log2 (2An) - log2an (4), let log2 (2An) be t, then log2an (4) = 2 / T
When T-2 / T = 2n, both sides are the same as * t, the following result is obtained:
t=n±√(n^2+2)
∴2^〖n±√(n^2+2)〗=2an
And X ∈ (0,1), ∥ 0

The taxi charge standard of a city is: 6 yuan for 3 km and within 3 km; 2 yuan for every 1 km above 3 km. Now Beibei has 28 yuan. He wants to take a taxi to his grandmother's home 18 km away from home. Is it enough? (write down the calculation process)

18-3 = 16 yuan
28-6=22（km)
22\2=11(km)
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