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vredina [299]
2 years ago
9

B is the midpoint of AC. AB = 2x+12 and BC = 5x + 10. Find AC

Mathematics
1 answer:
3241004551 [841]2 years ago
5 0

Answer:

x=6

Step-by-step explanation:

/AB/=2x+12

/BC/=5x+10

3x+2=5x-10 subtract 2 from both sides

3x=5x-12 subtract 5x from both sides

-2x=-12 divide both sides by -2x

x =6

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Select the expression in terms of n
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Answer:

2n - 11

Step-by-step explanation:

Note there is a common difference d between consecutive terms of the sequence, that is

d = - 7 - (- 9) = - 5 - (- 7) = - 7 + 9 = - 5 + 7 = 2

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = 2, thus

a_{n} = - 9 + 2(n - 1) = - 9 + 2n - 2 = 2n - 11

6 0
2 years ago
A property is listed for $580,000. The listing agreement promises to
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Answer:

$26,096

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8 0
3 years ago
It takes a train 8 hours to travel a distance of 216 km. What is the average speed of the train?
Contact [7]

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3 0
3 years ago
If y = -6cosx, what is the amplitude?
aniked [119]

 

\displaystyle\bf\\y=-6cos\,x\\\\\textbf{is equivalent to:}\\\\y=6cos(x+\pi)\\\\\textbf{where 6 is the maximum value or amplitude}\\\\\implies~~~\boxed{\bf~amplitude=6}

 

8 0
3 years ago
Yolanda's club has 35 members. its rules require that 60% of them must be present for any vote. at least how many members must b
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35 x .6 = 21 so there must be 21 people present to take a vote.
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3 years ago
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