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Anika [276]
3 years ago
13

Write an equation of the line that passes through the points (0, –5) and (4, 7).

Mathematics
1 answer:
Viefleur [7K]3 years ago
7 0
Y = 3 x - 5. it said my answer has to be at least 20 characters long soo.. .
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Select the correct answer. What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 1? A. -0.21 B. 0.74 C. 1.35 D. 1.97
WARRIOR [948]

Given the:

ln(x + 6) - ln(2x - 1) = 1

Using the logarithm rule:

  • ln a - ln b = ln (a/b)
  • ln((x + 6) / (2x - 1)) = 1
  • ((x + 6) / (2x - 1)) = E ¹

We know,

  • e1 = ²'⁷²
  • ((x + 6) / (2x - 1)) ≈ 2.72

Simplifying we get,

  • (x + 6) = 2.72 (2x - 1)
  • x + 6 = 2.72 (2x) - 2.72 (1)
  • x + 6 = 5.44x - 2.72
  • 8.72 = 4.44x

By cross multiplication we get,

  • x = 8.72 / 4.44
  • x = 1.97

Therefore, the value of x is 1.97.

The correct option in the exercise ln (x + 6) - ln (2x - 1) = 1 is alternative "D".

7 0
2 years ago
Select the correct answer. In ΔABC, if the lengths of sides a and c are 8 centimeters and 16 centimeters, respectively, and the
pashok25 [27]

Answer:

A

Step-by-step explanation:

using the Sine rule in ΔABC

\frac{a}{sinA} = \frac{c}{sinC}

substitute given values

\frac{8}{sinA} = \frac{16}{sin35} ( cross- multiply )

16sinA = 8sin35° ( divide both sides by 16 )

sinA = \frac{8sin35}{16} = 0.28678...

⇒ A = sin^{-1}(0.28678..) = 16.67° ( to 2 dec. places )


4 0
4 years ago
9
Musya8 [376]

Answer:

do no

Step-by-step explanation:

4 0
4 years ago
In Alice, how many directions can an object move
Makovka662 [10]
Im pretty sure its six
8 0
3 years ago
How many times does 20 go into 286?
photoshop1234 [79]
14 (286/20 = 14,3) you just need to remove the decimal and you can see how many times it can enter
6 0
4 years ago
Read 2 more answers
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