1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naddika [18.5K]
2 years ago
15

The lines shown below are parallel. If the green line has a slope of -1/2 what is

Mathematics
1 answer:
Arisa [49]2 years ago
5 0

Answer:

By definition, two parallel lines must have the same slope.  Therefore, the slope of the red line is the same as that of the green line.

You might be interested in
The geometric sequence a i a i ​ a, start subscript, i, end subscript is defined by the formula: a 1 = 8 a 1 ​ =8a, start subscr
frozen [14]

Question:

The geometric sequence ai is defined by the formula: a₁ = 8, aᵢ = aᵢ₋₁(-1.5 ).

Find the sum of the first 20 terms in the sequence. Choose 1 answer:

Answer:

The sun of 20 terms of the progress is -10,637.621536256

Step-by-step explanation:

Given

Geometric Sequence

a₁ = 8

aᵢ = aᵢ₋₁(-1.5 )

First, the common ratio needs to be calculated.

The common ratio is the ratio of a term to its previous term.

In other words,

Ratio = 2nd term ÷ 1st term or 3rd term ÷ 2nd term, ...... Etc.

We can calculate the common ratio from aᵢ = aᵢ₋₁(-1.5 ) by dividing both sides by aᵢ₋₁. This gives

aᵢ / aᵢ₋₁ = aᵢ₋₁(-1.5 ) / aᵢ₋₁

aᵢ / aᵢ₋₁ = -1.5

So, the common ratio, r = -1.5

Now that we've had the common ratio and first term to be -1.5 and 8 respectively, the sum of 20 terms can then be calculated using the sum of n terms formula.

Sₙ = a(1 - rⁿ)/(1 - r)

We're making use of this formula because r is less than 1

Where n = 20

a = first term = 8

r = -1.5

By substituting these values; we get

S₂₀ = 8(1 - (-1.5)²⁰)/(1 - (-1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (3325.25673008

))/(2.5)

S₂₀ = 8(1 - 3325.25673008

)/(2.5)

S₂₀ = 8(-3324.25673008

)/(2.5)

S₂₀ = -10,637.621536256

5 0
3 years ago
2 x<br>— = -----<br>7 x + 10<br><br>x = ???​
valentina_108 [34]

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

Maybe you want to find x such that ...

  2/7 = x/(x +10)

  2(x +10) = 7x . . . . . . multiply by 7(x+10)

  20 = 5x . . . . . . . . . . subtract 2x, simplify

  4 = x . . . . . . . . . . . . divide by 5

_____

<em>Additional comment</em>

You can almost solve this "by inspection" if you recognize the difference of the denominator and numerator is 5 on the left and 10 on the right. If you multiply the fraction on the left by 2/2, you get 4/14, the values in x/(x+10) in the fraction on the right.

6 0
2 years ago
I need help plz and I have to show work
bija089 [108]

This is a very simple and easy problem. I'm not sure why you need someone else to solve it, but I hope this helps

a. Linear equation:

Let x be amount of movies rented

$8 + ($2.50 * x)

b.

$8 + ($2.50 * 10)

= $8 + $25.0

= $33

8 0
2 years ago
What is the volume of the prism?<br><br> ________ cm3
Vera_Pavlovna [14]
The asnwer would be 768 cm^3<span />
8 0
2 years ago
Read 2 more answers
Please help me with this sum​
Scilla [17]

Answer:

1. 384

2. 180

3. 324

4. 648

5. 476

6. 528

7. 294

8. 384

9. 414

10. 80

11. 72

12. 301

13. 222

14. 146

15. 156

16. 270

17. 283

18. 300

19. 292

20. 58

21. 64

22. 138

23. 296

24. 170

Hope it helps you

7 0
2 years ago
Other questions:
  • Find the distance between the number 2.6 and 5.9 on the numberline
    6·2 answers
  • there are 27 children in Ms. kloot's class. when the flu was going around , about 26% of the students in the class were absent.
    13·1 answer
  • A type of bacterium triples in population every hour. Assuming you start with
    10·1 answer
  • A baby blue whale weighed 5520 pounds at birth. After two days, the baby weighed 5710. After 14 days, the baby weighed 8180 poun
    10·2 answers
  • Choose the equation that represents the line passing through the point -3,-1 with a slope of 4
    14·2 answers
  • Compare the decimals 18.10 and 18.1
    7·2 answers
  • a rectangular prism has a volume of 1008 cubic centimeters. if the length of the prism is tripled, what will be the volume of th
    6·1 answer
  • Select the correct answer. If g = 8, what is the value of the expression g/8+2
    7·1 answer
  • Can someone help me please !
    13·1 answer
  • The total mileage of the trip is 3000 miles they have driven 900 miles so far. What percent do they still have left
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!