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Inessa05 [86]
3 years ago
13

Combine like terms to create an equivalent expression -1/2(-3y+10)

Mathematics
2 answers:
Marina86 [1]3 years ago
8 0

Answer:

= \frac{ 3y}{2}   - 5 \\

Step-by-step explanation:

we know that,

( - ) \times ( - ) = ( + ) \\ ( - ) \times ( + ) =  ( - )

Let's solve now,

-  \frac{1}{2} ( - 3y + 10) \\  \frac{3y}{2}  -  \frac{10}{2} \\   = \frac{ 3y}{2}   - 5

marysya [2.9K]3 years ago
3 0

Answer:

3/2y - 5

Step-by-step explanation:

-1/2(-3y+10)

Expand the brackets.

-1/2(-3y) -1/2(10)

Multiply.

3/2y - 5

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Step-by-step explanation:

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Select all the equations that have the same solution as the equation 3x−12=24
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3x=36, so x=12

Step-by-step explanation:

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What is 5/8 with a denominator of 24?
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The area of a rectangle painiting is given by the trinomial x^2-9x-36. what are the possible dimensions of the painting ? use fa
bagirrra123 [75]
<span> (x + 3) • (x - 12)
</span>

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span> 

Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is  <span> -9 </span>.

<span><span>     -36   +   1   =   -35</span><span>     -18   +   2   =   -16</span><span>     -12   +   3   =   -9   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  3 
                     <span>x2 - 12x</span> + 3x - 36

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-12)
              Add up the last 2 terms, pulling out common factors :
                    3 • (x-12)
Step-5 : Add up the four terms of step 4 :
                    (x+3)  •  (x-12)
             Which is the desired factorization

Final result :<span> (x + 3) • (x - 12)</span>
8 0
3 years ago
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