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pishuonlain [190]
3 years ago
12

Austin takes 1 minute and 45 seconds to run three-quarters of a circular track. His rate of motion is /

Mathematics
1 answer:
castortr0y [4]3 years ago
6 0
Length of circular track is:

L = 2*r*pi

He run 3/4 of it so length is:
L' = 3*2/4*r*pi = 3/2*r*pi

To calculate speed of his movement we use formula:
v = s/t where s = L' and t = 1 minute 45 seconds = 105 seconds

v = L'/t = 3*r*pi/2*105

v = r* pi/70

If we take that r = 1
 
answer
\pi /70
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Factor 9x^+12x+4=0 please help
UkoKoshka [18]

Answer:

(3x+2) ^2

x = -2/3

Step-by-step explanation:

9x^2+12x+4 = 0

We need to recognize that this is perfect squares

(a + b)2 = a^2 + 2ab + b^2;

Where a = 3x  and b =2

a^2 = 9x^2 2ab = 2*3x*2 = 12x and b^2 = 2^2 =4

So we can factor this as (3x+2) ^2

If you want to solve

We can use the zero product property

(3x+2) ^2 =0

Take the square root of each side

3x+2 =0

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3 years ago
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Alja [10]

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Ratling [72]

Answer:

Step-by-step explanation:

Part A

(m + n)x = 4x + 5 + 8x - 5

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Part B

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Part C

The trick here is to put n(x) into m(x) wherever m(x) has an x.

m[n(x)] = 5(n(x)) + 5

m[n(x)] = 5(8x - 5) + 5

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4 years ago
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lozanna [386]

Answer:

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Step-by-step explanation:

We are required to simplify the following expression;

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Using the properties of radicals;

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The expression can be re-written as;

\sqrt{\frac{8y}{y}}=\sqrt{8}

Now;

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