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3 years ago

Its correct guys it wasnt that hard

Mathematics

2 answers:

Arisa [49]3 years ago

8 0

Answer:

what was

Step-by-step explanation:

daser333 [38]3 years ago

6 0

Answer:

nothings hard when u try!

Step-by-step explanation:

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What is the solution to this equation? 2ln4+lnx=3ln2+ln(x+1)

Galina-37 [17]

Answer:

$x=1$

Step-by-step explanation:

Given equation:

$2 \ln 4+\ln x=3 \ln 2+\ln(x+1)$

$\textsf{Apply the power law}: \quad n \ln x = \ln x^n$

$\implies \ln 4^2+\ln x=\ln 2^3+\ln(x+1)$

Simplify:

$\implies \ln 16+\ln x=\ln 8+\ln(x+1)$

Subtract ln 8 from both sides:

$\implies \ln 16+\ln x- \ln 8=\ln(x+1)$

Subtract ln x from both sides:

$\implies \ln 16-\ln 8=\ln(x+1)-\ln x$

$\textsf{Apply the quotient law}: \quad \ln x - \ln y = \ln \frac{x}{y}$

$\implies \ln \left\dfrac{16}{8}\right = \ln \left(\dfrac{x+1}{x}\right)$

Simplify:

$\implies \ln 2 = \ln \left(\dfrac{x+1}{x}\right)$

$\textsf{Apply the equality law}: \quad \textsf{if }\: \ln x= \ln y\:\textsf{ then }\:x=y$

$\implies 2=\dfrac{x+1}{x}$

Multiply both sides by x:

$\implies 2x=x+1$

Subtract x from both sides:

$\implies x=1$

5 0

2 years ago

Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1, 3).

Romashka-Z-Leto [24]

The equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1, 3) in slope intercept form is $y = \frac{-1}{5}x + \frac{16}{5}$

<h3>Solution:</h3>

Given that a line is parallel to line x + 5y = 10 and passes through the point (1, 3)

We have to find the equation of line

The slope intercept form is given as:

y = mx + c -------- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Let us first find the slope of line

Given equation of line is x + 5y = 10

$5y = -x + 10\\\\y = \frac{-1}{5}x + \frac{10}{5}\\\\y = \frac{-1}{5}x + 2$

On comparing the above equation of line with slope intercept form,

$m = \frac{-1}{5}$

We know that slopes of parallel lines are equal

So the slope of line parallel to given line is also $m = \frac{-1}{5}$

Let us find the equation of line with slope m = -1/5 and passes through the point (1, 3)

$\text {substitute } m=\frac{-1}{5} \text { and }(x, y)=(1,3) \text { in eqn } 1$

$3 = \frac{-1}{5} \times 1 + c\\\\15 = -1 + 5c\\\\16 = 5c\\\\c = \frac{16}{5}$

Thus the required equation is:

$\text {substitute } m=\frac{-1}{5} \text { and } c=\frac{16}{5} \text { in eqn } 1$

$y = \frac{-1}{5}x + \frac{16}{5}$

Thus the required equation of line is found

3 0

3 years ago

Need help with multiple choice question

katovenus [111]

I believe the answer is D. 18

7 0

3 years ago

Bajo del Gualicho has an elevation of - 72 meters. Lago Enriquillo has an elevation of - 46 meters. Note

Harman [31]

Answer: Bajo del Gualicho has a higher elevation than Lago Enriquillo.

Step-by-step explanation:

Since in this case the "elevations" are negative because are under sea level, we can call it depth.

In this sense, we are given the "elevations" or depths of two places:

Bajo del Gualicho: -72 m

Lago Enriquillo: -46 m

Keeping in mind we are actually talking about the depth of this places, we can say Bajo del Gualicho is deeper than Lago Enriquillo, and this is best expressed with the following inequality:

$G>E$