Write 21 as the sum of two prime numbers

Write 21 as the sum of two prime numbers


21=2+19



The sum of two prime numbers is 21. What are the two prime numbers (prime numbers) respectively
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2 and 19



Can you fill in the right prime on the line? 15=______ +______ 8=______ +______ 34=______ +______ 20=______ +______ .


15 = 2 + 138 = 3 + 534 = 5 + 2920 = 3 + 17



The mixed operation of 1-2 / 1 + 3 / 1 =? Rational number


1-2 / 1 + 3 / 1
=1/2+1/3
=5/6
That's five out of six



If sin θ and cos θ are the two roots of the equation x & # 178; - MX + M = 0, find the value of Tan θ + (1 / 2 of Tan θ)


According to the relationship between root and coefficient, it is concluded that: 1
sinθ+cosθ=m
sinθcosθ=m
Because: (sin θ + cos θ) & # 178; = Sin & # 178; θ + cos & # 178; θ + 2Sin θ cos θ
That is: M & # 178; - 2m-1 = 0, the solution is: M = 1 ± √ 2
tanθ+1/tanθ
=sinθ/cosθ+cosθ/sinθ
=(sin²θ+cos²θ)/sinθcosθ
=1/m
When m = 1 + √ 2, Tan θ + 1 / Tan θ = 1 / (1 + √ 2) = √ 2-1
When m = 1 - √ 2, Tan θ + 1 / Tan θ = 1 / (1 - √ 2) = - √ 2-1



What's the car logo of a circle and an a in the middle?


It should be the sign of Chery
Do you think it's such a sign?



A strict definition of the symmetry of a line in a function image?
F (x + m) = f (M-X) how to prove the symmetry of "function image" with respect to straight line?
I think it's the definition of symmetry


Prove: take any point P (a, b) in the function image
Then B = f (a)
Because f (a) = f (A-M + m) = f [M - (A-M)] = f (2m-A)
So B = f (2m-A)
So the point Q (2m-A, b) is also on the graph of function y = f (x)
It is easy to know that P (a, b) and Q (2m-A, b) are symmetric with respect to the line x = M
So the point P (a, b) symmetric with respect to the line x = m is on the image of the function y = f (x)
Note the arbitrariness of point P
So the image of the function y = f (x) is symmetric with respect to the line x = M



The school organized spring outings. 52 students went boating in the park. They rented a total of 11 boats. Each boat took 6 people and each boat took 4 people. How many boats did they rent?


If there are x large ships, then there are 11-x small ships
formulation of equation
6x+4(11-x)=52
x=4
Boat 11-4 = 7



Let p be a point on the ellipse x ^ 2 + y ^ 2 = 1, and F1 and F2 be the two focuses of the ellipse, then the absolute value of Pf1 multiplied by the maximum and minimum absolute value of PF2 is


That's a good question
1. X & # 178; + Y & # 178; = 1 is the equation of a circle. Although a circle is a special ellipse, it is generally not done in high school
&So I guess the equation of ellipse in the question is X & # 178 / A & # 178; + Y & # 178 / B & # 178; = 1
2. | Pf1 | and | PF2 | are not the absolute values of Pf1 and PF2, but the modules of vector Pf1 and vector PF2
 
Let | PF2 | = m, a-c ≤ m ≤ a + C
From the first definition of ellipse, | Pf1 | + | PF2 | = 2A
∴|PF1|=2a-|PF2|=2a-m
∴|PF1|×|PF2|=(2a-m)m
∵ A & # 178; - C & # 178; ≤ (2a-m) m ≤ A & # 178; that is, B & # 178; ≤ (2a-m) m ≤ A & # 178;
The minimum value of | Pf1 | x | PF2 | is B & # 178, and the maximum value is a & # 178;



A car travels 80km per hour from place a to place B, and a truck travels 75KM per hour from place B to place A. six hours later, the two cars meet. How many km is the distance between place a and place B?
I don't think it's necessary to solve the equation. If you want to solve the equation, how to solve it


No need
Let's set the total length to X
Then there is: X - (70 + 80) * 6 = 0, x = 150 * 6 = 900