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ch4aika [34]
2 years ago
9

The focus of the parabola -40x = y2 is: (-10, 0) (0, -10) (0, 10) (10, 0)

Mathematics
1 answer:
Luda [366]2 years ago
3 0

Answer:

Option A: (-10,0)

Step-by-step explanation:

The given equation of the parabola is in the form of y^2=4ax where the focus is located at (a,0). Therefore, the focus of the parabola is (-10,0).

You might be interested in
WILL GIVE 100 POINTS
padilas [110]

(a) The explicit rule to model the sequence formed by the number of seats in each row is a_{n}=15+3n

(b) The 35th row has 120 seats

Step-by-step explanation:

The rule of the nth term of an arithmetic sequence is

a_{n}=a+(n-1)d , where

  • a is the the first term
  • d is the common difference between each two consecutive terms

∵ There are 18 seats in the 1st row

∵ There are 21 seats in the 2nd row

∵ 21 - 18 = 3

∵ The number of seats is increased by 3 with each additional row

- The number of seats in each row represents an arithmetic

   sequence because there is a common difference between

   each two consecutive rows

∴ The number of seats in each row formed an arithmetic sequence

∵ The number of seats in the first row = 18 seats

∴ a = 18

∵ The number of seats in a row continues to increase by 3 with each

   additional row

∴ d = 3

- Substitute the values of a and d in the rule of nth term

∴ a_{n}=18+(n-1)3

- Simplify the right hand side

∴ a_{n}=18+3n-3

- Add like terms

∴ a_{n}=15+3n

(a) The explicit rule to model the sequence formed by the number of seats in each row is a_{n}=15+3n

∵ There are 120 seat in a row

- Substitute a_{n} by 120 in the rule above

∴ 120 = 15 + 3n

- Subtract 15 from both sides

∴ 105 = 3n

- Divide both sides by 3

∴ n = 35

∴ The number of the row is 35

(b) The 35th row has 120 seats

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

6 0
3 years ago
Can someone solve this and show work?
jeka94

Answer:

No habla engles

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A potato chip manufacturer produces bags of potato chips that are supposed to have a net weight of 326 grams. Because the chips
marusya05 [52]
When we take data at work, we always do it over a period of time. To me, just one sample set does not show enough data to come to that conclusion. Also it is one batch of bags. I think you would need to have an average of data from different batches & samples to prove your data is accurate and support your claim.
6 0
2 years ago
Phoebe took a survey of her classmates' favorite sport. The results are in the table below:
olga55 [171]

Answer:

.14

Step-by-step explanation:

7 0
2 years ago
I need help with this equation. 9q - 14 + 3(q - 8) = 7 I looked it up and the answer was 3.75, however I don't understand how it
coldgirl [10]
Parentheses first

9q-14+3q-3(8)=7
9q-14+3q-24=7

Combine like terms

9q + 3q - 14 - 24 = 7
12q -38=7

add 38 to both sides

12q - 38 + 38 = 7 + 38

12q = 45

divide both sides by 12

q = 45/12
q = 3.75


8 0
3 years ago
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