What is an equation of the line that is perpendicular to 2x + y = -4 and passes through the point (2, -8)?

Mathematics

1 answer:

11Alexandr11 [23.1K]2 years ago

3 0

Answer:

(y+8)/(x-2)=0.5

then write in standard form by rearranging y=mx+c

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The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea

Gre4nikov [31]

A) zeroes

P(n) = -250 n^2 + 2500n - 5250

Extract common factor:

P(n)= -250 (n^2 - 10n + 21)

Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0 or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3 or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

Maximum profit =1000 at n = 5

C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.

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3 years ago

Which figures will have a volume that is greater than 100 cubic units? Select two options.

igor_vitrenko [27]

Answer:

B and D

Step-by-step explanation:

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1 year ago

PLEASE HELP ASAP WILL GIVE BRAINLEST

Fittoniya [83]

Each ratio is
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