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dlinn [17]
3 years ago
6

Factor 10c^2-60cd +80d^2

Mathematics
1 answer:
ozzi3 years ago
5 0
10c^2-60cd +80d^2

(2c - 8d) (5c -10d)

this  \\ is \\ because...

2c*5c=10c^2

2c * -10d=-20cd \\ -8d*5c=-40cd \\ -20cd-40cd=-60cd

-8d * -10d = 80d
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the x-coordinates of the intersection point of the lines y = 3x + 5 and y = 2x – 7

Step-by-step explanation:

When you set two equations or functions equal to each other that is saying you want to know when the graphs intersect.  So the y and x intercept don't matter, unless you combined the terms like this.

3x + 5 = 2x – 7

x + 12 = 0 then that terms x intercept woudl be the x coordinate of the intersection of the other two terms.  But remember, this is onlyif you combines the two functions.  

Of your options you just want the ones dealing with the intersection point.  And of those two we are plugging in x, so we want the x coordinate.

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I need your help guys !!!!!!!!
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\bold{\huge{\blue{\underline{ Solution}}}}

\bold{\underline{ We \: have \:given \: that, }}

  • <u>Distance </u><u>between </u><u>the </u><u>house </u><u>and </u><u>tower </u><u>is </u><u>3</u><u>5</u><u> </u><u>m</u>
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  • <u>The </u><u>height </u><u>of </u><u>the </u><u>house </u><u>is </u><u>2</u><u>5</u><u> </u><u>m</u>

\bold{\underline{ Now}}

  • <u> </u><u>Height</u><u> </u><u>of </u><u>the </u><u>house </u><u>is</u><u> </u><u>2</u><u>5</u><u>m</u>

\bold{\underline{ So, }}

\sf{ CE = 25m }

<u>Therefore</u><u>, </u>

\sf{ AB = AD - CE }

\sf{ AB = 60 - 25  }

\sf{ AB = 35 m }

<u>Now</u><u>, </u><u> </u><u>In </u><u>Right </u><u>angled </u><u>ABC</u>

\bold{tan Φ =}{\bold{\frac{ AB}{BC}}}

\bold{tan Φ =}{\bold{\frac{ 35}{35}}}

\bold{ tan Φ = 1 }

\bold{ tan Φ = 45 °}

\sf{\red{Hence, \: The \:angle \:of \:depression\: is \:45°}}

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