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3 years ago

What is the value of x?

Mathematics

1 answer:

RSB [31]3 years ago

7 0

X = 8.66

using pythagorean theorem u will get 8.66

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The differential equation y′′=0y′′=0 has one of the following two parameter families as its general solution: yyyy=C1ex+C2e−x=C1

elena-14-01-66 [18.8K]

Answer:

$y(x)=6+9x$

Step-by-step explanation:

Given differential equation, $y''=0$

Characteristic equation is given by $m^2=0$

$\Rightarrow m=0,0$ .

Differential equation have repeated roots and solution of differential equation is $y(x)=C_1+C_2x$ .............................(1)

Initial conditions are $y(0)=6,y'(0)=9$

Plugging first condition in equation (1),

$6=C_1+C_2(0)$

$C_1=6$

Equation (1) becomes

$y(x)=6+C_2x$ ............................(2)

differentiate equation (2) with respect to 'x',

$y'(x)=C_2$

Plugging second condition,

$C_2=9$

Hence, $y(x)=6+9x$

3 0

3 years ago

Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ

Deffense [45]

Answer:

$\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}$

Step-by-step explanation:

$Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}$

$\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16$

$\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i$

6 0

3 years ago

Read 2 more answers

HELP PLEASE

Helga [31]

7.
Discounted price X
————————— = ———
Original Price 100

45 x
—- = —-
72 100

Cross multiply

45 times 100= 4500
72 times x= 72x

72x=4500

Divide

4500/72= 62.5%

4 0

3 years ago

PLZ HELP ASAP ASAP ASAP

lara31 [8.8K]

Answer:

what is the question

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find the value of a if given points are collinear (5,1) (3,2) and (1,a)

Ksenya-84 [330]

9514 1404 393

Answer:

a = 3

Step-by-step explanation:

The x-values 5, 3, 1 form an arithmetic sequence. The y-values will do the same: 1, 2, a = 1, 2, 3 -- a common difference of +1.

a = 3

8 0

3 years ago