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babunello [35]
3 years ago
13

Pythagorean Theorem in Cones. Please help

Mathematics
1 answer:
Lady_Fox [76]3 years ago
5 0
3^2 + height^2 = 9^2

9 + height^2 = 81
height ^2 = 72

height = sqrt(72)

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vladimir2022 [97]

Answer:

1) m=2/9; y-intercept= 17/3

2) m=7 ; y-intercept= 22

3) m= -2/11 ; y-intercept= 100/11

4) m= 13/19 ; y-intercept= -53/13

Step by Step Explanation:

Use the slope formula to find the slope m.

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Input each points. (x,y) for each equation to find out if the system of equations are equivalent.

Point (-3,4) is a solution of this system of equations.

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In 2003 a town’s population was 1431. By 2007 the population had grown to 2134. Assume the population is changing linearly.How m
sergiy2304 [10]

We will have the following:

First, we will have that the population change by:

\Delta P=2134-1431\Rightarrow\Delta P=703

So, the population changed by 703 people.

It took the follwoing number of years to change from 1431 to 2134:

\Delta y=2007-2003\Rightarrow\Delta y=4

So, it took 4 years to changes from 1431 to 2134.

m=\frac{2134-1431}{2007-2003}\Rightarrow m=175.75

The average population growth per year is of 175.75 people per year.

The population in 2000 would have been:

P_{2000}=\frac{2000\cdot1431}{2003}\Rightarrow P_{2000}=1428.856715\ldots

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So, the population in 2000 would have been approximately 1429 people.

We will have that the equation for the population would be:

P=(\frac{2134-1431}{2007-2003})t+1429\Rightarrow P=\frac{703}{4}t+1429

So, the equation would be:

P=175.75t+1429

Now, we predict the number of people of the town in 2014:

P_{2014}=175.75(14)+1429\Rightarrow P_{2014}=3889.5

\Rightarrow P_{2014}\approx3890

So, there will be approximately 3890 people of the town in 2014.

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1 year ago
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