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erik [133]
3 years ago
13

For each expression,use a property to write an equivalent expression.Tell which property you used. 10:CD= 11:x+13= 12:4(2x-3)= 1

3:2+(a+b)= 14:Draw algebra time models to prove that 4+8x and 4(2x+1) are equivalent.

Mathematics
1 answer:
stellarik [79]3 years ago
4 0
10.) DC 
community property

11.) 13+x
community property


12.) 8x-12
distributive property

13.)  (2+a)+b


14.) 4(2x+1)= 4+8x

For question 14 you can do 4×2=8x. Then do 4×1=4. It is equal. Just do distributive property for number 14 for 4(2x+1)



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Svetllana [295]

{ \qquad\qquad\huge\underline{{\sf Answer}}}

Let's solve ~

Calculate discriminant :

\qquad \sf  \dashrightarrow \: 3 {x}^{2}  + 6x - 1

  • a = 3
  • b = 6
  • c = 1

\qquad \sf  \dashrightarrow \: discriminant =  {b}^{2}  - 4ac

\qquad \sf  \dashrightarrow \: d = (6) {}^{2}  - (4 \times 3 \times 1)

\qquad \sf  \dashrightarrow \: d = 36 - 12

\qquad \sf  \dashrightarrow \: d = 24

\qquad \sf  \dashrightarrow \:  \sqrt {d} = 2 \sqrt{6}

Now, let's calculate it's roots ( x - intercepts )

\qquad \sf  \dashrightarrow \: x =  \cfrac{ - b  \pm \sqrt{d} }{2a}

\qquad \sf  \dashrightarrow \: x =  \cfrac{ - 6\pm 2 \sqrt{6}  }{2 \times 3}

\qquad \sf  \dashrightarrow \: x =  \cfrac{ - 6\pm 2 \sqrt{6}  }{6}

So, the intercepts are :

\qquad \sf  \dashrightarrow \: x =  \cfrac{ - 6 -  2 \sqrt{6}  }{6}

and

\qquad \sf  \dashrightarrow \: x =  \cfrac{ - 6  +  2 \sqrt{6}  }{6}

5 0
1 year ago
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What is the quotient of -1/8 and - 1/3
eimsori [14]

Answer:

Step-by-step explanation:

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Answer: 2 / 15

Step-by-step explanation:

3 red / 10 total

4 white / 9 total

3/10 * 4/9 = 12/90 = 2/15

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