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ch4aika [34]
3 years ago
8

write an equation in point-slope form for the line through the given point with the given slope (10,-9);m=-2​

Mathematics
1 answer:
fgiga [73]3 years ago
5 0

Answer:

The answer is

<h2>y + 9 =  - 2(x - 10)</h2>

Step-by-step explanation:

To find the equation of a line given a point and slope we use the formula

<h3>y - y1 = m(x - x1)</h3>

where

m is the slope

( x1 , y1) is the point

From the question

Slope / m = - 2

The point is ( 10, - 9)

Substitute the values into the above formula

That's the final answer is

<h3>y + 9 =  - 2(x - 10)</h3>

Hope this helps you

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Answer:

see below

Step-by-step explanation:

1. 0 = (r + 1)(r + 8)

Using Zero Product Property, r = -1, r = -8

2. h(r) = (r + 1)(r + 8)

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         = (r + 9/2)² - 81/4 + 8

         = (r + 4.5)² - 12.25 (Complete the square)

   Vertex: (-4.5, -12.25)

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Step-by-step explanation:

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The length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58° to 3
siniylev [52]
<h3>Answer: Approximately 119.76 meters</h3>

===================================================

Work Shown:

x = starting length of the shadow

y = height of the pole

tan(angle) = opposite/adjacent

tan(58) = y/x

1.6003345 = y/x

1.6003345x = y

x = y/1.6003345

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-------------------------

When the angle changes, the adjacent side gets 90 meters longer

tan(angle) = opposite/adjacent

tan(36) = y/(x+90)

0.72654253 = y/(0.62486936y+90)

0.72654253(0.62486936y+90) = y

0.453994166y + 65.3888277 = y

65.3888277 = y-0.453994166y

65.3888277 = 0.546005834y

0.546005834y = 65.3888277

y = 65.3888277/0.546005834

y = 119.758478075162

y = 119.76

The height of the pole is about 119.76 meters.

8 0
3 years ago
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