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3 years ago

#18. How is the answer -3. How do I get it?

Mathematics

2 answers:

castortr0y [4]3 years ago

4 0

I hope this will help you.

Ann [662]3 years ago

4 0

7m+3(m+2)=-24
Distribute
3(m+2)=3m+6
7m+3m+6=-24
Combine like terms
7m+3m=10m
10m+6=24
Do the additive inverse of addition
-24-6=
Do keep change change
-24+-6=-30
10m=-30
Do the inverse of division/multiplication
the m cancels out
-30÷10=-3
because a negative divided by a positive equals a negative the result is -3
this is why it is -3.

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The perimeter of the triangle is 42. Find the length of all the sides.

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<h3>Given :-</h3>

Perimeter of triangle = 42

Side 1 of triangle = (x + 4)

Side 2 of triangle = (3x + 8)

Side 3 of triangle = (5x + 6)

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<h3>Explanation:</h3>

So to find length of sides we have to find the value of x.We can find value of x , by this formula:

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$\bigstar \boxed{ \rm perimeter \: of \triangle \: = side_1 + side_2 + side_3}$

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$\dashrightarrow \tt perimeter \: of \triangle \: = side_1 + side_2 + side_3 \\$

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$\dashrightarrow \tt 42 = (x + 4) + (3x + 8)+( 5x + 6) \\$

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$\dashrightarrow \tt 42 = x + 4+ 3x + 8+5x + 6 \\$

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$\dashrightarrow \tt 42 = x + 3x+5x+ 4 + 8 + 6 \\$

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$\dashrightarrow \tt 42 = 9x+ 4 + 8 + 6 \\$

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$\dashrightarrow \tt 42 - 18 = 9x \\$

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$\dashrightarrow \tt 24 = 9x \\$

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$\dashrightarrow \tt 9x = 24 \\$

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$\dashrightarrow \tt x = \dfrac{24}{9} \\$

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$\dashrightarrow \bf x =2.67 \{approx \}\\$

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Side 1 of triangle = (x + 4)
Side 1 of triangle =2.67 + 4
Side 1 of triangle = 6.67

Side 2 of triangle = 3x + 8
Side 2 of triangle = 3 × 6.67 + 8
Side 2 of triangle = 20.01 + 8
Side 2 of triangle = 28.01

Side 3 of triangle = 5x + 6
Side 3 of triangle = 5 × 2.67 + 6
Side 3 of triangle = 13.35 + 6
Side 3 of triangle = 19.35

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