The intersection of the first-order function y = X-2 and y = - CX + 3 is in the first quadrant. Find the value of integer C

The intersection of the first-order function y = X-2 and y = - CX + 3 is in the first quadrant. Find the value of integer C

y=x-2
y=-cx+3
Solution
x-2=-cx+3
(1+c)x=5
x=5/(1+c)
y=5/(1+c)-2=(3-2c)/(1+c)
The intersection is in the first quadrant
5/(1+c)>0
(3-2c)/(1+c)>0
c>-1
c

The difference between a great deal of and a plent of

Without the phrase "a plent of", you may mean plenty of. A great deal of can only be followed by abstract nouns or uncountable nouns. A great deal can also be used as adverbial. For example, the race game every one a great deal of pleasure

In the triangle ABC, the angle c = 90 degrees, CD is perpendicular to AB, ab = 12, AC + BC = 17. Find the length of CD

Area of right triangle = AC * BC / 2 = AB * CD / 2
CD=AC*BC/AB (1)
(AC+BC)^2=AC^2+BC^2+2*AC*BC
17^2=AB^2+2*AC*BC
AC*BC=(17^2-AB^2)/2=(17^2-12^2)/2=29*5/2 (2)
Substituting (2) into (1) gives CD = 145 / 24

On the differences between English phrases and synonyms
Meaning and difference of slow down, speed up, pass by and go away
The meaning and difference of hand out, take out, hunt for and pick up
Differences among enter, take part in, join and end

1. Slow down; --- speed up;
Go away (ESP on holiday)
2. Hand out
Take out
Hunt out search
Pick up, pick up, pick up
3. Enter
Talk part in
Join a group
Attend the meeting, etc

If X: Y: z = 2:4:3, the sum of X and Z is 90, what is the value of X + y + Z

x:z=2:3
x=90×2/5=36
z=90×3/5=54
x:y=1:2
y=2x=2×36=72
x+Y+z=36+72+54=162

What are the progressive words or phrases of watch out for

Building owner,
in the middle
in the centre
Be Careful

The numerator of 1 in 13 can be divided into 1 in 3 by adding a number to the denominator at the same time

(1+x)/(13+x)=1/3
x=5

A class of + plural or singular, please explain

Singular, a class
For example:
A class of reaction diffusion system with jump layer is considered.
A reaction diffusion system with jump layer is discussed

Given that f (x-1 / x) = x ^ 2 + 1 / x ^ 2, then the function f (3) is equal to? I have a problem in calculation. How can I calculate the formula of x = expressed by T with X-1 / x = t?
Given f (x-1 / x) = x ^ 2 + 1 / x ^ 2,
Substituting X-1 / x into x ^ 2 + 1 / x ^ 2?
So: X & # 178; - 2 + 1 / X & # 178; + 2, how did this step come about? (is the following + 2 replaced by X-1 / x into 1 / x ^ 2? How can I not calculate it?) thank you

(x-1/x)^2
=x^2-2*x*1/x+(1/x)^2
=x^2-2+1/x^2 (x*1/x=1)
So x ^ 2 + 1 / x ^ 2 = (x-1 / x) ^ 2 + 2
Let t = X-1 / X
f(t)=t^2+2
f(3)=3^2+2=11

The structure of in + noun in English phrases
1. Just in case
2. It will happen
3. In order
4. Visible
5. Total
6. Futile
7. Special
8. All in all
9. In fact
10. In the right place
11. In danger
12. Advance
Write the phrase in + n

in case
in destiny
in line
in vision
in all
in vain
in
in one word
in fact
in the right position
in danger
in advance