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Ksenya-84 [330]
3 years ago
11

(−t 4 −5t 3 −10t 2 )+(9t 3 +3t 2 −1)

Mathematics
1 answer:
klemol [59]3 years ago
4 0

Answer:

\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1

Step-by-step explanation:

Given the expression

\left(-t^4\:-5t^3\:-10t^2\:\right)+\left(9t^3\:+3t^2\:-1\right)

Remove parentheses:  (a)=a

=-t^4-5t^3-10t^2+9t^3+3t^2-1

Group like terms

=-t^4-5t^3+9t^3-10t^2+3t^2-1

Add similar elements        

=-t^4-5t^3+9t^3-7t^2-1         ∵ -10t^2+3t^2=-7t^2

Add similar elements        

=-t^4+4t^3-7t^2-1                  ∵  -5t^3+9t^3=4t^3

Thus, the equivalent expression in simplified form:

\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1

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Answer:

That is, the number of rows of stitches Buddy knitted is 42 rows.

Step-by-step explanation:

With the question, we note that the size of 3.5 rows of stitch = 0.5 inches

The size of Buddy = 6 inches

The number of rows of stitch required to make 6 inches is given by;

0.5 in = 3.5 rows

1 in = 3.5 ÷ 0.5 or 7 rows

Therefore, 6 inches is given by,

7 rows/inch ×6 inches = 42 rows

That is, the number of rows of stitches Buddy knitted = 42 rows.

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Answer:

Take x = 10.2 in. or x = 10 in.

Step-by-step explanation:

Given :

Length = (2x+3) in.

Breadth = x in.

Also, the Area of Rectangle = 240 sq in.

We know that,

Area of Rectangle = length x breadth

240 = (2x+3) x

2x² + 3x = 240

2x² + 3x - 240 = 0

Solving    2x²+3x-240 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

                                   

           - B  ±  √ B²-4AC

x =   ————————

                     2A

In our case,  A   =     2

                     B   =    3

                     C   =  -240

Accordingly, B²  -  4AC   = 9 - (-1920) = 1929

Applying the quadratic formula :

              -3 ± √ 1929

  x  =    ——————

                     4

 √ 1929   , rounded to 4 decimal digits, is  43.9204

So now we are looking at:

          x  =  ( -3 ±  43.920 ) / 4

Two real solutions:

x =(-3+√1929)/4=10.230 ≈ 10

or

x =(-3-√1929)/4=-11.730

We'll take x = +ve value for calculation of length and breadth.

Therefore,

Length = [2(10.2) + 3 ]

L = 23.4 in.

Breadth = 10.2 in.

OR

Length = [2(10) + 3]

L = 23 in.

Breadth = 10 in.

3 0
4 years ago
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