Given a = 10B > 0, find the value of (lgab) ^ 2 - [(LGA ^ 2) × (LGB ^ 2)]

Given a = 10B > 0, find the value of (lgab) ^ 2 - [(LGA ^ 2) × (LGB ^ 2)]

(lgab)^2-[(lga^2)×(lgb^2)]
=(lg10b^2)^2-4lg10b*lgb
=(1+2lgb)^2-4(1+lgb)*lgb
=1

Why does LGA LGB ≥ 2 LGA LGB ≤ - 2 calculate a / b ≥ 100 or 0

lga-lgb≥2
LGA / b ≥ 2, in order to make the inequality hold, it must be a / b > 0, logarithm function bottom 10 > 1, is an increasing function
lga/b≥lg100,
a/b≥100
Similarly, LGA LGB ≤ - 2
LGA / b ≤ LG100 ^ 1 and a / b > 0
0

(2-x) / (x + 1) = 3 to the x power

It can not be solved by conventional method, but can be solved by dichotomy (high school), X ≈ 2.75

The acceleration of a car running at 54km / h after emergency braking is 5m every second. The displacement of the car within 3S after braking is calculated. The acceleration within 6S after braking is calculated

First, speed conversion: 54km / h = 54 * 1000 / 3600 M / S = 15 m / s, braking acceleration a = - 5 m / S ^ 2, using the formula: V2 ^ 2-v1 ^ 2 = 2As. (1) at the same time: V2 = V1 + at = 18-5 * 3 = 3 M / s, from (1) formula: S = (3 ^ 2-18 ^ 2) / (- 5 * 2) = 31.5 m, in fact, the time from braking to stopping is: 18

Xiaojun's walking distance is 1 / 4 more than Xiaohong's, but Xiaohong's walking time is 1 / 10 more than Xiaojun's. what's the speed ratio between Xiaohong and Xiaojun?
It's got to be formula and process

A street with sea view,
Distance ratio: 1: (1 + 1 / 4) = 4:5
Time ratio: (1 + 1 / 10): 1 = 11:10
Speed ratio: (4 / 11): (5 / 10) = 8:11

I didn't study until my father came back_______________________ .
Emphasis sentence:__________________________ .
Half inverted sentence:_____________________________ .
I didn't go to bed until 11 o'clock_____________________________ .
Emphasis sentence:______________________________ ..
Half inverted sentence:__________________________________ .

i did not study until my father came back.

If the line segments a and B (a > b) are known, use a ruler and a compass to draw the line segment AB, so that ab = 2a-2b, leaving only one point space and two traces for the compass

1. Make ray am
2. Intercept on am, AC = a
3. Intercept CD = a on the extension line of AC
4. Intercept de = B in Da direction
5. Intercept EB = B on the extension line of de
AB is the line segment

The time ratio of a certain sewing master to make a shirt, a pair of trousers and a coat is 1:2:3. He can make two shirts, three trousers and four coats in ten working hours. So he needs 14 shirts, 10 trousers and two coats______ Working hours

Suppose that the sewing time for a shirt is x, then the sewing time for a pair of trousers is 2x, and the sewing time for a coat is 3x. Since it takes ten working hours to complete 2 shirts, 3 trousers, and 4 coats, that is, 2x + 3 × (2x) + 4 × (3x) = 10 (working hours), that is, 20x = 10 (working hours), then it takes 2 × (3x) + 10 × (2x) + 14x = 40x = 20 (working hours) to complete 2 shirts, 10 trousers, and 14 shirts, So the answer is 20

In the arithmetic sequence {an}, if the tolerance d = 1 / 2 and the sum of the first 100 items is S100 = 45, then a1 + A2 + a3... + A99 =?
Be quick
The answer is 19.8
By the way, why can't I leave a message???

Tolerance d = 1 / 2, the sum of the first 100 items is S100 = 45
S100=a1+100(100-1)*1/2=45
=>a1=45-4950=-4905
a100=a1+99*1/2=-4905+49.5=-4855.5
a1+a2+a3...+a99
=S100-a100
=45-(-4855.5)
=4900.5

The bottom area of a cube is 750 square centimeters. How many cubic decimeters is its volume
emergency
Is a cube, the bottom area is 16 square centimeters, its volume is how many square decimeters?

Side length √ 750 = 5 √ 30
Volume (5 √ 30) & #179; = 125 √ 27000 = 3750 √ 30 CC
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