If the square + (M + 3) x + 4 of polynomial x is a complete square, then the value of M is? Fast

If the square + (M + 3) x + 4 of polynomial x is a complete square, then the value of M is? Fast


m+3=±4;
m=-3±4;
M = 1 or - 7;
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It is known that m and N are the midpoint of AB and AC on both sides of the triangle ABC, P is any point on Mn, extending BP, CP intersecting AC and AB on K and h. to prove: ah / HB + AK / KC = 1
Be as specific as possible


It is proved that the extension lines of EF ‖ BC and CH, BK intersect at e, F through a
Because m and N are the midpoint of AB and AC on both sides of the triangle ABC
From the median line theorem
MN‖BC‖EF,
So EP / PC = an / NC = 1, FP / Pb = am / MB = 1
So EP = PC, FP = Pb
And ∠ EPF = ∠ BPC
So △ EPF ≌ CPB
So EF = BC
Also EF ‖ BC
So △ EHA ∽ CHB, △ AKF ∽ CKB
So ah / HB = EA / BC, AK / KC = AF / BC
So ah / HB + AK / KC = EA / BC + AF / BC
Ah / HB + AK / KC = (EA + AF) / BC = EF / BC = 1
So ah / HB + AK / KC = 1



What are the last three digits of the 1999 power result of 1999?


What is the law of the last three digits of 1999 ^ n
999 when n is odd
When n is even, it is 001
The last three places in 1999 ^ 1999 are 999



Sum: 1 + 11 + 111 + 1111 + 11111


an=10^0+10^1+10^2+...10^(n-1)=(10^n-1)/9 Sn=[(10^1+10^2+10^3+...+10^n)-n]/9={[(10^(n+1)-10]/9-n}/9=[(10^(n+1)-9n-10]/81



Equations: 4x-2y = 4 2x + y = 2


It is reduced to 2x-y = 2, 2x + y = 2
The sum is 4x = 4, x = 1
Substitute x = 1 to get 4-2y = 4, y = 0
So the solution of the equations is: x = 1, y = 0



In a series circuit: what is the total voltage equal to? The expression can express why


Ohm's Law: (deformation formula: u = IR, i.e. the principle of calculating resistance by volt ampere method) ρ electric work: w = uit = Pt (applicable to all circuits) w = (generally applicable to pure resistance series circuits) w = UQ (generally applicable to pure resistance parallel circuits) electric power: P = UI =



Is 1 / a a a fraction? Is 1 / A + 1 / b a fraction?


The former is, the latter is not



The name plate of an electric kettle is marked with the word "220V 1000W". When it works normally, what is the current


From P = UI, it is concluded that:
I=P/U=1000W/220V=4.5A



The simplest common denominator of 1 / AB ^ 2, a / 2BC, 3 / 3A ^ 2C is


The least common multiple of 2,3 is 6
A maximum of 2 times
B maximum 2 times
C maximum once
So it's 6A ^ 2B ^ 2C



The resistance of an electrical appliance is 120 Ω. To make 15% of the total current in the circuit pass through the electrical appliance, it is the same as the electrical appliance______ Join one______ If the voltage at both ends of the appliance is 15% of the total voltage, it should be connected with the appliance______ Join one______ The resistance in Ω


(1) In order to make 15% of the total current in the circuit pass through the consumer, a resistor should be connected in parallel, ∵ the voltage at both ends of each branch in the parallel circuit is equal, and the main circuit current is equal to the sum of the currents of each branch, ∵ according to Ohm's law, we can get: u = I consumer r consumer = IRR = (I-I consumer) r, that is, 15I × 120 Ω = (i-15i) r, the solution is: r = 30 Ω; (2) the voltage at both ends of the consumer should be used According to Ohm's law, we can get: u consumer r consumer = URR ′ = u ′ - U consumer R ', that is, 15u ′ 120 Ω = u ′ - 15u ′ R', and the solution is: R ′ = 480 Ω