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romanna [79]
3 years ago
8

22.5x−4.6=3.5 Solve correctly

Mathematics
1 answer:
Colt1911 [192]3 years ago
8 0

Answer:

x = 0.36

Step-by-step explanation:

22.5x − 4.6 = 3.5

first, add the -4.6 over

22.5x = 8.1

then, divide 8.1 by 22.5

x = 0.36

best of luck!

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Remember
(x^m)/(x^n)=x^(m-n)

7^16/6^12=7^(16-12)=6=7^4

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In a geometric sequence, the ratio between consecutive terms is...
Leokris [45]
<h3>Answer: The same or equal</h3>

========================================================

Explanation:

Consider an example like 3, 6, 12, 24, 48, ...

The ratio between consecutive terms is

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  • 24/12 = 2
  • 48/2 = 2

Each time we divide any given term over its previous one, we get the same ratio 2. We call this the common ratio. In terms of notation, the variable r is used for the common ratio, so r = 2 in this case.

As another example, the geometric sequence 5, 50, 500, 5000, ... has r = 10 as the common ratio because we multiply each term by 10 to get the next one. Moving forward has us multiply by r, moving backward and we divide by r. The value of r cannot be zero, but it can be negative.

An example with r being negative would be something like

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3 years ago
Determine the equation of the line that is perpendicular to the lines r(t)=(-2+3t,2t,3t)
Mnenie [13.5K]
<span>Vector Equation
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Create a direction vector: AB = (-1 - 2, 4 - 5) 
= (-3,-1) or (3,1)when -1 (or any scalar multiple) is divided out.
r = (2,5) + t(-3,-1);tER</span>Find the vector equation of the line passing through A(2,5) & B(-1,4)<span>x = 4 - 3t
y = -2 + 5t
;tER</span>Write the parametric equations of the line passing through the line passing through the point A(4,-2) & with a direction vector of m =(-3,5)<span>Create Vector Equation first:
AB = (2,8)
Point: (4,-3)
r = (4,-3) + (2,8); tER
x = 4 + 2t 
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;tER</span>Write the parametric equations of the line through A(4,-3) & B(6,5)<span>Make parametric equations: 
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y = -2 + 3t ; tER
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-3 = 5 + 4t 
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For y sub in -8 
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(-8 + 2)/3 = t
-2 = t
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x = 5 + 4t
y = -2 + 3t ; tER
For x sub in 1
-1 = 5 + 4t 
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For y sub in -7 
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Parameter 't' is inconsistent so pt(1,-7) is not on the line.</span>Given the equation r = (5,-2) + t(4,3);tER, is (1,-7) on the line?<span>Use parametric equations when generating points: 
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X-int:
sub in y = 0
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x = 5 + (8/3)
x = 15/3 + (8/3) 
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3 years ago
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