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Hatshy [7]
3 years ago
10

Here is my question. Please help

Mathematics
1 answer:
Rasek [7]3 years ago
8 0
6x^2 +30x - 36
6( x^2 +5x -6)
6(x^2 -x+6x-6)
6[ x(x-1) 6(x-1)]
(x-1) (x+6)
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Help plzzzzzzzzzzzzzzzzzzzzz
prohojiy [21]

Answer:

c = {\boxed{\boldsymbol{29}}} km

Step-by-step explanation:

Here's the required formula to find the missing side of triangle by pythagoras theorem :

{\longrightarrow{\pmb{\sf{{(a)}^{2} + {(b)}^{2} = {(c)}^{2}}}}}

  • \purple\star a = 20 km
  • \purple\star b = 21 km
  • \purple\star c = ?

Substituting all the given values in the formula to find the third side of triangle :

\begin{gathered} \quad{\longrightarrow{\sf{{(a)}^{2} + {(b)}^{2} = {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{{(20)}^{2} + {(21)}^{2} = {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{(20 \times 20) + (21 \times 21) = {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{(400) + (441) = {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{400 + 441 = {(c)}^{2}}}}  \\  \\ \quad{\longrightarrow{\sf{841= {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{c =  \sqrt{841}}}} \\  \\ \quad{\longrightarrow{\sf{\underline{\underline{\purple{c = 29 \: km}}}}}}\end{gathered}

Hence, the length of missing side of triangle is 29 km.

\rule{300}{2.5}

3 0
2 years ago
What is the slope of the line x=6
zimovet [89]

Answer:

undefined

Step-by-step explanation:

Vertical lines never have a defined slope as you can never divide a number by zero

6 0
3 years ago
Read 2 more answers
In the figure what is the length of BD?
Dmitry_Shevchenko [17]

Answer: 24

Step-by-step explanation: The triangle is a 45-45-90. It’s an isosceles triangle

5 0
3 years ago
Suppose the population of Franklin was 29,494 in the year 2000. If the exponential rate of increase is 1.23%, what is the curren
alukav5142 [94]

Answer:

652997

Step-by-step explanation:

1.23*18=22.14

22.14*29,494=652997.16

round it down to get 652997

8 0
3 years ago
Which shows a correct order to solve this story problem? Each morning Mike bikes 3.5 miles. Each afternoon he bikes 2.3 miles. H
Grace [21]
Ok so
since we h ave
3.5=1 day's morning
and
2.3=1 day's afternoon
we need to add them to find 1 day and multiply by 6 (number of days)
that answer is not listted so we make into anohter form
this wold be
6 times (3.5 +2.3)
if we distributed
a(b+c)=ab+ac
6(3.5+2.3)=6 times 3.5+6 times 2.3

this is D
3 0
3 years ago
Read 2 more answers
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