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vampirchik [111]
3 years ago
9

Plss I need answer fast!!

Mathematics
2 answers:
fenix001 [56]3 years ago
7 0

Answer:

C.

Step-by-step explanation:

The equation for the slope of a line is y2-y1/x2-x1, and both triangles have the same slope equation for their hypotenuse.

Strike441 [17]3 years ago
7 0

Answer:

\huge\boxed{C.\ \dfrac{1-7}{9-5}=\dfrac{1-10}{9-3}}

Step-by-step explanation:

slope=\dfrac{y_2-y_1}{x_2-x_1}

C(9;\ 1)\\E(5;\ 7)\\B(3;\ 10)\\\\slope_{EC}=\dfrac{1-7}{9-5}=slope_{CE}\\\\slope_{BC}=\dfrac{1-10}{9-3}=slope_{CB}

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The fish population in a certain lake rises and falls according to the formula F = 3000(23 + 11t − t2). Here F is the number of
Gemiola [76]

Answer:

a) On January 1, 2017 the fish population will be the same as the initial population.

b) On September 18th, 2018 the fish population will be zero.

Step-by-step explanation:

Hi there!

a) First, let´s write the function:

F(t) = 3000(23 + 11t − t²)

The population on January 1, 2006 is the population at t = 0. Then:

F(0) = 3000(23 + 11· 0 - 0²)

F(0) = 3000 · 23 = 69000

This will be the population every time at which t² - 11t = 0. Then let´s find the other value of t (besides t = 0) that makes that expression to be zero:

t² - 11t = 0

t(t - 11) = 0

t = 0

and

t - 11 = 0

t = 11

On January 1, 2017 (2006 + 11), the fish population will be the same as the initial population.

b) We have to obtain the value of t at which F(t) = 0

F(t) = 3000(23 + 11t − t²)

0 = 3000(23 + 11t − t²)

divide both sides of the equation by 3000

0 = 23 + 11t − t²

Let´s solve this quadratic equation using the quadratic formula:

a = -1

b = 11

c = 23

x = [-b ± √(b² - 4ac)] / 2a

x = 12.8  ( the other value of x is negative and therefore discarded).

After 12.8 years all the fish in the lake will have died.

If 1 year is 12 months, 0.8 years will be:

0.8 years · 12 months/year = 9.6 months

If 1 month is 30 days, 0.6 month will be:

0.6 month · 30 days / month = 18 days

All the fish will have died after 12 years, 9 months and 18 days from January 1, 2006. That is, on September 18th, 2018.

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The inequality x2 – 5x + 3 < 3 can be broken down into two related inequalities. The graphs of these related inequalities are
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Answer:

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Step-by-step explanation:

Look where both lines intersect.

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3 years ago
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S_A_V [24]

Answer:

A.481.25

Step-by-step explanation:

d=rt

Plug in numbers

d=38.5(12.5)

d=481.25

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