For a fraction, the sum of numerator and denominator is 168. If you subtract 6 from both numerator and denominator, the fraction will become 5-7. What is the original number

For a fraction, the sum of numerator and denominator is 168. If you subtract 6 from both numerator and denominator, the fraction will become 5-7. What is the original number


Let X be the numerator and y the denominator
x+y=168
(x-6)/(y-6)=5/7
Solution
x=71
y=97
So the original number is 71 / 97



What are the quantifiers that can only be followed by countable nouns in English? What are the quantifiers that can not be followed by countable nouns?


There are no quantifiers in English
A number of many a quite a few
A great deal of quite a little a large amount of



Given x = 2y-1 / 1 + y, find 1) the analytic expression of the function of Y with respect to X; 2) the value of the function y when x = 0, - 1,3
3. The value range of independent variable x
The more detailed, the more points. Tonight


1. X = (2y-1) / (1 + y) x (1 + y) = 2y-1 x + xy = 2y-1 x + 1 = (2-x) YY = (x + 1) / (2-x), that is, the analytic expression of Y function about X is: y = (0 + 1) / (2-0) = 1 / 2 when y = (x + 1) / (2-x) 2 and x = 0; y = (- 1 + 1) / (2 + 1) = 0 when x = - 1; y = (3 + 1) / (2-3) = - 4 when x = 3



Translate several Chinese phrases into English
Length 2.2 × width 1 × height 0.8
First floor plan of plant
Second floor plan of the plant
Defective product area
Finished product warehouse
Stairway


Shailmy's translation is good, but it should be noted that the expressions of floor in British English and American English are different. In American English, "first floor" and "second floor" are "1st floor" and "2nd floor" respectively, which are the same as those in Chinese, but in British English they are "ground" and "1st floor"; in addition, "length 2.2



In △ ABC, ab = BC, ∠ ABC = 90 °, D is the point on AB, AE ⊥ CD intersects its extension line at point E, AE = 12CD, BD = 8cm, find the distance from D to AC


Extend the extension line of AE intersection CB at point F, make DG ⊥ AC at g, as shown in the figure ∵ AE ⊥ CD, ∵ AED = 90 °, ∵ ABC = 90 °, ∵ ead = DCB, ∵ in △ ABF and △ CBD, ∵ Fab = DCB ≁ ABF = cbdab = CB, ≌ Abf ≌ CBD (AAS), ∵ AF = CD, ∵ AE = 12CD, ∵ AE = 12af



Change the following words into plural
The words are: Banana tomato orange hamburger carrot egg strawberry apple vegetable chair table pencil case volleyball pear broccoli


bananas
tomatoes
oranges
hamburgers
carrots
eggs
strawberries
apples
vegetables
chairs
tables
pencils
cases
volleyballs
pears
The last one is not sure



For any integer B, is there a real number C such that the equation x & # 178; + BX + C is a quadratic equation of even system, and the reason is given
(2) The reasons are as follows:
∵ x2-6x-27 = 0 and X2 + 6x-27 = 0 are quadratic equations of even system,
Suppose C = MB2 + N,
When B = - 6, C = - 27,
-27=36m+n.
∵ x2 = 0 is a quadratic equation of even system,
When n = 0, M = - 3 / 4,
∴c=-3/4b2.
∵ x2 + 3x &; 27 / 4 = 0 is a quadratic equation of even system,
When B = 3, C = - 34 × 32
Let C = - 34b2
For any integer B, C = - 3 / 4B2,
△=b2-4ac,
=4b2.
x=−b±2b2,
∴x1=-3/2b,x2=1/2b.
∴|x1|+|x2|=2|b|,
∵ B is an integer,
For any integer B, when C = - 34b2, the equation x2 + BX + C = 0 about X is a quadratic equation of even system
Why let C = MB2 + n? Why is ∵ x2 = 0 a quadratic equation of even system? When ∵ n = 0, M = - 3 / 4,


I feel that this example is just a mess
Do you want to prove that for any given B, the equation x ^ 2 + BX + C = 0 has roots x1, X2 satisfying
|X1 | + | x2 | = 2 | B |
Obviously, when B = 0, C = 0 is satisfied
When b > 0, take CB
X1 = (- B + radical (b ^ 2 - 4C)) / 2 > 0, | x1 | = (- B + radical (b ^ 2 - 4C)) / 2
X2 = (- B - radical (b ^ 2 - 4C)) / 2



How are you spell your name, please


Change are to do



If the side length of a square is increased by 3 cm, the area will be increased by 39 square cm?


39-3 * 3 = 30 square centimeter
30 / 2 = 15 cm2
15 / 3 = 5cm
5 * 5 = 25 square centimeter
Draw a picture and you'll see. You can hi me



Ask ordinal word no homophone my corresponding word she plural form mine plural form write homophone first antonym


There are only three such ordinal words. In the whole ordinal word