Вот............... ответ 6
Уравнение прямой: у=кх+b
Прямая n проходит через точки (0,2) и (4,4). Значит , верны равенства:
2=0+b ⇒ b=2
4=4k+b ⇒ 4=4k+2 ⇒ k=1/2 ⇒
Уравнение прямой n : y=1/2 *x+2 .
Прямая m проходит через точки (0,0) и (3,-2). Значит, ⇒верны равенства:
0=0+b ⇒ b=0
-2=k*3+b ⇒ -2=3k ⇒ k=-2/3 ⇒
Уравнение прямой m: у= -2/3 *х .
373
a - b 8b⁴ (a - b) * 4b³ * 2b 2b
--------- * -------------- = ------------------------- = ---------
4b³ a² - ab a* (a - b) * 4b³ a
---------------------------------------------------------------------------------------------------
x² - 4y² 28x² (x - 2y)*(x + 2y) * 4x * 7x
------------- * ---------------------- = ------------------------------------- =
35xy x² - 4xy + 4y² 5y * 7x * (x - 2y)²
4x* (x + 2y) 4x² + 8xy
= --------------------- = --------------------
5y * (x - 2y) 5xy - 10y²
--------------------------------------------------------------------------------------------------
ax + ay + 2y + 2x 6 (x * (a + 2) + y (a + 2)) * 6
-------------------------- * ------------------ = ---------------------------------------- =
2a + 4 5x + 5y 2*(a + 2) * 5 * (x + y)
(a + 2) * (x + y) * 6
= ------------------------------ = 6 / 10 = 0,6
10 * (a + 2)* (x + y)
-------------------------------------------------------------------------------------------------
5 (2 - a) * (2 - a) * 5 10 - 5a 5a - 10
(2 - a)² * ---------------- = -------------------------- = ---------------- = ---------------
ab - 2b -1 * b * (2 - a) -b b
------------------------------------------------------------------------------------------------
373)
m² - 4n² (m + 2n)² (m + 2n)*(m - 2n) 9m²
------------- : ---------------- = ------------------------- * ---------------------------- =
3mn 9m² 3mn (m + 2n)*(m + 2n)
(m + 2n)*(m - 2n) * 9m² (m - 2n) * 3m 3m² - 6mn
= ------------------------------------ = --------------------- = -----------------
(m + 2n)*(m + 2n) * 3mn (m + 2n) * n 2n² + mn
----------------------------------------------------------------------------------------
2x² - xy x + y (2x - y) * (x + y)
(2x - y) : ---------------- = (2x - y) * -------------- = ----------------------- =
x + y 2x² - xy x * (2x - y)
x + y
= ------------
x
--------------------------------------------------------------------------------------------------
a³ - 1 2a² + 2a + 2 (a - 1) * (a² + a + 1) 5a²
------------ : -------------------- = --------------------------- * ------------------------ =
2a³ 5a² 2a³ 2 * (a² + a + 1)
(a - 1) * (a² + a + 1) * 5 * a² 5 * (a - 1) 5a - 5
= ---------------------------------------- = ---------------- = ---------------
2 * (a² + a + 1) * 2a * a² 4a 4a
------------------------------------------------------------------------------------------------
a² - 9 a + 3 (a + 3) * (a - 3) 9 * (a + 2) * (a² - 2a + 4)
---------------- : ---------------- = ----------------------- * ------------------------------------- =
a² - 2a + 4 9a³ + 72 a² - 2a + 4 a + 3
(a + 3) * (a - 3) * 9 * (a + 2) * (a² - 2a + 4)
= ----------------------------------------------------------- = (a - 3) * 9 * (a + 2) =
(a + 3) * (a² - 2a + 4)
= 9 * (a² + 2a - 3a - 6) = 9 * (a² - a - 6) = 9a² - 9a - 54
ОДЗ:
<u>x² -10x+25</u> ≥0
5-4x-x²
5-4x-x²≠0
x²+4x-5≠0
D=16+20=36
x₁≠<u> -4-6 </u>≠ -5
2
x₂≠ <u>-4+6</u> ≠ 1
2
5-4x-x²= -x²-4x+5= -(x+5)(x-1)
x² -10x+25=(x-5)²
<u> (x-5)² </u> ≥0
-(x+5)(x-1)
<u> (x-5)² </u> ≤ 0
(x+5)(x-1)
(x-5)(x-5)(x+5)(x-1) ≤0
x=5 x= -5 x=1
+ - + +
---------- -5 ----------- 1 ------------ 5 ---------------
\\\\\\\\\\\\\\
x= 6 + + + + | +
x=2 - - + + | +
x=0 - - + - | -
x= -6 - - - - | +
x∈ (-5; 1)U{5}
D(y)=(-5; 1)U{5}
(√2*14)/√7=√28/√7=√28/7=√4=2