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Lady_Fox [76]
3 years ago
6

Make ‘w’ the subject.

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
6 0

Answer:

w = (cv +dy) / (cb - ad)

Step-by-step explanation:

Multiply through by c

aw + y = c(bw + v) / d                Multiply by d

d(aw + y) = c(bw + v)                  Remove the brackets

daw + dy = cbw + cv                  Subtract dy from both sides.

daw +dy - dy = cbw + cv -dy

daw = cbw + cv - dy                   Subtract cbw from both sides

daw - cbw = cbw - cbw + cv - dy

daw - cbw = cv -  dy                  Isolate W on the left.

w(da - cb) =  cv - dy                   Divide by cb - ad on both sides.

w = (cv - dy) / (ad - bc)                Answer


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<h3>Answer:</h3>

y = x - 5

<h3>Step-by-step explanation:</h3>

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Choose the congruence theorem that you would use to prove the triangles congruent.
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<u>3- ASA (angle-side-angle):</u> This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

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5 0
3 years ago
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A sequence is defined by f(0) = -20, f(n) = f(n-1) - 5 forn &gt; 1.
bulgar [2K]

Answer:

1. Proved down

2. proved down

3. f(10) = -20 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5

Step-by-step explanation:

Let us explain how to solve the question

∵ f(0) = -20, f(n) = f(n - 1) - 5 for n > 1

→ That means we have an arithmetic sequence with constant

   difference -5 and first term -20

1. → f(1) means we need to find the second term, which equal the

      term - 5

∵ f(1) means n = 1

∴ f(1) = f(1 - 1) - 5

∴ f(1) = f(0) - 5

∵ f(0) = -20

∴ f(1) = -20 - 5 → Proved

2. → f(3) means we need to find the third term, which equal the

   second term - 5

∵ f(3) means n = 3

∴ f(3) = f(3 - 1) - 5

∴ f(3) = f(2) - 5

→ f(2) = f(1) - 5

∵ f(1) = -20 - 5

∴ f(2) = [-20 - 5] - 5 = -20 - 5 - 5

∴ f(3) = [-20 - 5 - 5] - 5

∴ f(3) = -20 - 5 - 5 - 5 → Proved

3. → From 1 and 2 we notice that the number of -5 is equal to n,

      at n = 1 there is one (-5), when n= 3 there are three (-5)

∵ n = 10

∴ There are ten (-5)

∴ f(10) = -20 - 5(10)

∴ f(10) = -20 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 → Proved

6 0
3 years ago
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