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3 years ago

1.

Mathematics

1 answer:

zheka24 [161]3 years ago

5 0

The number of ratios from students to adults would be a/s

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Ill mark brainlist plss help

Gelneren [198K]

Answer:

quadrilateral, parallelogram, rhombus

8 0

3 years ago

Read 2 more answers

6.7z = 5.2z + 12.3 z=

vladimir1956 [14]

Answer:

z = 8.2

Step-by-step explanation:

6.7z = 5.2z + 12.3

combine like terms by subtracting 5.2z from both sides

1.5z = 12.3

divide by 1.5

z = 8.2

7 0

3 years ago

Read 2 more answers

Find the integral <br> ∫√(9+x)/(9-x)

densk [106]

I suppose you mean

$\displaystyle \int \frac{\sqrt{9+x}}{9-x} \, dx$

Substitute y = √(9 + x). Solving for x gives x = y² - 9, so that 9 - x = 18 - y², and we have differential dx = 2y dy. Replacing everything in the integral gives

$\displaystyle \int \frac{2y^2}{18 - y^2} \, dy$

Simplify the integrand by dividing:

$\dfrac{2y^2}{18 - y^2} = -2 + \dfrac{36}{18 - y^2}$

$\implies \displaystyle \int \left(\frac{36}{18-y^2} - 2\right) \, dy$

For the first term of this new integral, we have the partial fraction expansion

$\dfrac1{18 - y^2} = \dfrac1{\sqrt{72}} \left(\dfrac1{\sqrt{18}-y} + \dfrac1{\sqrt{18}+y}\right)$

$\implies \displaystyle \frac{36}{\sqrt{72}} \int \left(\frac1{\sqrt{18}-y} + \frac1{\sqrt{18}+y}\right) \, dy - 2 \int dy$

The rest is trivial:

$\displaystyle \sqrt{18} \int \left(\frac1{\sqrt{18}-y} + \frac1{\sqrt{18}+y}\right) \, dy - 2 \int dy$

$= \displaystyle \sqrt{18} \left(\ln\left|\sqrt{18}+y\right| - \ln\left|\sqrt{18}-y\right|\right) - 2y + C$

$= \displaystyle \sqrt{18} \ln\left|\frac{\sqrt{18}+y}{\sqrt{18}-y}\right| - 2y + C$

$= \boxed{\displaystyle \sqrt{18} \ln\left|\frac{\sqrt{18}+\sqrt{9+x}}{\sqrt{18}-\sqrt{9+x}}\right| - 2\sqrt{9+x} + C}$

6 0

2 years ago

P(2,-5);y=1/2x+4 write this equation for the line in point-slope form

Nina [5.8K]

Answer:

x..{9 u have }7 gnf butbnot after 25 points

Step-by-step explanation:

7 0

2 years ago

Can anyone help me to solve this question? Please

LuckyWell [14K]

Answer:

y = 1/2x + 2

Step-by-step explanation:

m = -2, (3, - 1)

y - - 1 = -2(x - 3)

y + 1 = -2x +3

y = - 2x + 2

Perpendicular line slope: 1/2x

y = 1/2x +2

8 0

3 years ago