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2 years ago

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What is the area of the triangle? 13 5 12

1 answer:

andrey2020 [161]2 years ago

8 0

Answer:29

Step-by-step explanation:

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ln(y+1)-lny=1+3lnx . Express y in terms of x, in a form not involving logarithms. (4 marks, Maths CIE A level)

Delicious77 [7]

$remember$
$ln(x)=log_e(x)$
$and$
$log_x(a)-log_x(b)= log_x( \frac{a}{b} )$
$and$
$log_a(b)=c$ means $a^c=b$
$and$
$blog(a)=log(a^b)$

$so$

$ln(y+1)-ln(y)=1+3ln(x)$
$ln( \frac{y+1}{y} )=1+ln(x^3)$

$minus$ $ln(x^3)$ $from$ $both$ $sides$

$ln( \frac{y+1}{y}-ln(x^3) )=1$
$ln( \frac{y+1}{yx^3})=1$
$log_e( \frac{y+1}{yx^3})=1$

$translate$

$e^1=\frac{y+1}{yx^3}$
$e=\frac{y+1}{yx^3}$

$times$ $both$ $sides$ $by$ $yx^3$

$eyx^3=y+1$

$minus$ $y$ $from$ $both$ $sides$

$eyx^3-y=1$
$y(ex^3-1)=1$

$divide$ $both$ $sides$ $by$ $(ex³-1)$

$y= \frac{1}{ex^3-1}$

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2 years ago

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(n/‒7) + 3 = ‒2<br> explain it

iris [78.8K]

Answer:

The answers is n=35

Step-by-step explanation:

Solve for n by simplifying both sides of the equation. Then isolating the variable.

J’espère que ça aide.

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2 years ago

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2 numbers total 47 and have a difference of 21 what are the two numbers

murzikaleks [220]

x+y = 47

x-y = 21

------------ add together

2x =68 divide by 2

x=34

x+y = 47

34+ y = 47

subtract 34 from each side

y = 13

the two numbers are 34 and 13

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2 years ago

In ΔSTU, the measure of ∠U=90°, the measure of ∠T=79°, and US = 9.1 feet. Find the length of TU to the nearest tenth of a foot.

il63 [147K]

Answer:

Step-by-step explanation:

tan(79°) = US/TU = 9.1/TU

TU = 9.1/tan(79°) = 1.8 ft

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2 years ago

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-104=8x what is the answer?

Nezavi [6.7K]

Answer:

x=-12

Step-by-step explanation:

8x=-104

8x÷8=-104÷8

x=-104÷8

x=-13

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2 years ago

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