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anzhelika [568]
3 years ago
13

Find the 1st term of a sequence if the common difference = -2 and the 13th term =59

Mathematics
1 answer:
Marat540 [252]3 years ago
8 0

Answer:

83

Step-by-step explanation:

<u>Formula for 13th term:</u>

t(13) = a + 12d, where a- first term, d- common difference

<u>Given</u>

  • t(13) = 59
  • d = -2
  • a = ?

<u>As per the formula for 13th term:</u>

  • 59 = a + 12*(-2)
  • 59 = a - 24
  • a = 59 + 24
  • a = 83
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Find the midpoint of the line segment connecting (1,1) and<br> (3,-3).
likoan [24]

Answer:

2,-1

Step-by-step explanation:

graph, find length between points (sqrt 20) and slope (-2). sqrt20/2=sqrt5.

change in y/change in x = -2, change in y squared + change in x squared= 5. solve system of equations to get x=1, y=-2, or x=-1, y=2. i think i did something wrong but the answer should be correct

8 0
3 years ago
Simplify the following expression below:
IrinaK [193]
So, 4/3 - 2i

4/3 - 2i = 12/13 + i8/13

multiply by the conjugate: 
3 + 2i/3 + 2i
= 4(3 + 2i)/(3 - 2i) (3 + 2i)
(3 - 2i) (3 + 2i) = 13

(3 - 2i) (3 + 2i)

apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
a = 3, b =  - 2
= 3^2 + (- 2)^2

refine: = 13
= 4(3 + 2i)/13

distribute parentheses:
a(b + c) = ab + ac
a = 4, b = 3, c = 2i
= 4(3) + 4(2i)

Simplify:
4(3) + 4(2i)
12    +    8i


4(3) + 4(2i)
Multiply the numbers: 4(3) = 12
= 12 + 2(4i)

Multiply the numbers: 4(2) = 8
= 12 + 8i


   12 + 8i
= 12 + 8i/13

Group the real par, and the imaginary part of the complex numbers:


Your answer is: 12/13 + 8i/13





Hope that helps!!!
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Answer:

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Step-by-step explanation:

5 0
3 years ago
Which measure is equivalent to 25,200 seconds?<br><br> 1 min = 60 s<br><br> 1 h = 60 min
sertanlavr [38]

Solution:

<u>Note that:</u>

  • 1 min = 60 sec
  • 1 h = 60 min.

<em>The given time is in seconds. Convert it into minutes by dividing it by 60.</em>

  • => 25,200 seconds = 25,200 ÷ 60 minutes = 420 minutes

<em>The obtained time is in minutes. Convert it into hours by dividing it by 60.</em>

  • => 420 minutes = 420 ÷ 60 hours = 7 hours

<u>We can conclude that:</u>

  • 25,200 seconds = 420 minutes = 7 hours
7 0
2 years ago
Read 2 more answers
The area of a rectangle is 72 square feet. Its length is 12 feet. Which equivalent formula could you use to find the width?
klasskru [66]

Answer:

w=6ft

Step-by-step explanation:

72 divided by 12 is 6

Using the formula

A=wl

Solving for w

w=A

l=72

12=6ft

4 0
3 years ago
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