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4 years ago

The solution of the equation (x+3)^2=7 please help!!

1 answer:

6 0

Root both sides of the equation

x+3= plus or minus root 7

Subtract 3 from both sides.

$x_{1} = \sqrt{7} -3\\\\ x_{2}= - \sqrt{7} -3$

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The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

$\implies\ln|u|=\ln|v|+C$

$\implies\ln(y^2+4)=\ln|\ln x|+C$

$\implies y^2+4=e^{\ln|\ln x|+C}$

$\implies y^2=C|\ln x|-4$

$\implies y=\pm\sqrt{C|\ln x|-4}$

4 0

3 years ago

You basically look at the bar graph on the right and see which statement is true. Brainliest and thank you!

wel

Answer:

Step-by-step explanation:

To check this answer, you could obviously graph the points, but without graphing, you can tell the line would be straight because each x value is multiplied by the same number to get the corresponding y value.

3 x 5 = 15, 4 x 5 = 20, etc. This shows linear growth. If each x value were multiplied by twice itself (3 x 6, 4 x 8, and so on), you wouldn't have a straight line because the number that x is multiplied by changes depending on the value of x.

7 0

3 years ago

Please help me out!!

solniwko [45]

The slope is 1 because it is parallel and y=x+b, so, 2=-3+b and b=5
y=x+5

8 0

3 years ago

What is the expression in factored form? 9 x 2 − 4

attashe74 [19]

Answer:

(3x - 2)(3x + 2)

Step-by-step explanation:

9x² - 4 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Thus

9x² - 4

= (3x)² - 2²

= (3x - 2)(3x + 2) ← in factored form

5 0

3 years ago

Read 2 more answers

Find AM in the parallelogram

n200080 [17]

Answer:

AM = 6

Step-by-step explanation:

Using the property of a parallelogram

• The diagonals bisect each other

MO is a diagonal, hence

AM = AO = 6

5 0

4 years ago