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uranmaximum [27]
3 years ago
6

Are the expressions 3/4a + 8 - 1/4a - 2 and 1/2(a + 12) equivalent? Show why or why not.

Mathematics
1 answer:
natta225 [31]3 years ago
4 0

Answer:Yes they are equivalent.

Step-by-step explanation:

3/4a + 8 - 1/4a - 2 1/2(a + 12)

Combine like terms Distributive property

2/4a+6 1/2a+6

2/4=1/2 (simplify)

1/2+6=1/2+6

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Please help me with this
Ne4ueva [31]

Answer:

Option c

Step-by-step explanation:

A system of equations are given to us. And we need to solve them . The given system is

\begin{cases} y = 2x - 3\dots 1 \\ y = x^2 - 3\dots 2 \end{cases}

We numbered the equations here . Now put the value of equation 1 in equation 2 that is substituting y = 2x - 3 in eq. 2 .

\implies y = x^2 - 3 \\\\\implies 2x - 3 = x^2 - 3 \\\\\implies x^2 - 2x = 0 \\\\\implies x(x-2) = 0 \\\\\implies\red{ x = 0 , 2 }

We got two values of x as 0 & 2 . Alternatively substituting these values we have ,

\implies y = 2 x - 3 \\\\\implies y = 2(0)-3 \qquad or \qquad y = 2(2)-3 \\\\\implies y = 0-3 \qquad or \qquad 4 - 3 \\\\\implies \red{ y = -3 , 1 }

Thefore the required answer is ,

\red{Option\:c} \begin{cases} (0,-3) \\ (2,1) \end{cases}

4 0
3 years ago
Read 2 more answers
How is the Golden Ratio calculated from Fibonacci sequence? Please help me tyyy <3
AveGali [126]

Answer/Step-by-step explanation:

the fibonacci sequence is {1, 1, 2, 3, 5, 8, 13, 21, 34…} and in the visual for the Golden Ratio, if you look those are the those are the numbers that basically equals the golden ration, 1.618.

7 0
2 years ago
15/45 and 45/135 simplified
iren2701 [21]
"15/45" = "1/3"
"45/135" = "1/3" 
8 0
4 years ago
Martin has a piece of purple yarn that is 3 1/2 inches long he has a piece of yellow yarn that is 3 5/6 inches Long how much lon
sweet-ann [11.9K]

Answer:

2 1/3 longer

Step-by-step explanation:

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16 + 35 + 24 + 14 = 51+ 38 = 89
16 + 35 + 24 + 14 = 16 + 59 + 14 = 75 + 14 = 89
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4 years ago
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