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BabaBlast [244]
3 years ago
6

What is the distance between (12.-7) and (-3, -7)? ​

Mathematics
1 answer:
vitfil [10]3 years ago
6 0

Step-by-step explanation:

distance between (12.-7) and (-3, -7)

\sqrt{ {(12  +  3)}^{2} +  {0}^{2}  }

=12+3

=15 units

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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
An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 1 of 2 : Suppose a sample of
Elenna [48]

Answer:

p = 0.299

Step-by-step explanation:

A proportion is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

We want to estimate the proportion of oil tankers that had spills. Of the 1453, 1018 did not have spills, and 1453 - 1018 = 435 had. So D = 435

Total outcomes:

All the 1453 tankers, so T = 1453

Estimating the proportion

p = \frac{D}{T} = \frac{435}{1453} = 0.299

5 0
4 years ago
What is the intercept
Andreyy89
Ok so which intercept? y or x
4 0
3 years ago
Please explain to me. how do I figure out this problem? thank you!​
aksik [14]

i think its ASA

Step-by-step explanation:

5 0
3 years ago
NEED HELP ASAP WILL GIVE BRAINLY
Anon25 [30]

Answer:

15.7

Step-by-step explanation

hard to explain

5 0
3 years ago
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