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Gnesinka [82]
2 years ago
8

Find the distance between the points (-8, -3) and (-2, 5). Hint: Use the Pythagorean theorem. ​

Mathematics
1 answer:
Drupady [299]2 years ago
5 0

Answer:

1/5

Step-by-step explanation:

Use Pythagoras theorem

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What is the domain of the function F(x) = 4 cos(2x+1)?
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statuscvo [17]

9514 1404 393

Answer:

  (a)  x = (3 -ln(3))/5 ≈ 0.819722457734

  (b)  y = 10

Step-by-step explanation:

(a) Taking the natural log of both sides, we have ...

  2x +1 = ln(3) +4 -3x

  5x = ln(3) +3 . . . . . . . . add 3x-1

  x = (ln(3) +3)/5 ≈ 0.820

__

(b) Assuming "lg" means "log", the logarithm to base 10, we have ...

  log(y -6) +log(y +15) = 2

  (y -6)(y +15) = 100 . . . . . . . taking antilogs

  y^2 -9x -190 = 0 . . . . . . . . eliminate parentheses, subtract 100

  (y -19)(y +10) = 0 . . . . . . . . factor

The values of y that make these factors zero are -19 and 10. We know from the first term that (y-6) > 0, so y > 6. That means y = -19 is an extraneous solution.

The solution is ...

  y = 10

__

When solving equations using a graphing calculator, it often works well to define a function f(x) such that the solution is f(x) = 0, the x-intercept(s). That form is easily obtained by subtracting the right side of the equation from both sides of the equation. In part (a) here, that is ...

  f(x) = e^(2x+1) -3e^(4-3x)

8 0
3 years ago
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I don’t understand this pls help!!!
Luba_88 [7]
The exponent value would be 3
4 0
3 years ago
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