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Sholpan [36]
3 years ago
12

How do I solve for x

Mathematics
2 answers:
Leya [2.2K]3 years ago
7 0

Answer:

x=2

Step-by-step explanation:

27^x could also be written as 3^3x because 27 is 3^3. From here you know 3^x+4 is 3^3x. x+4 is 3x.With basic algebra you can find that x is 2

Mandarinka [93]3 years ago
3 0

Answer:

x= 2

Step-by-step explanation:

<u>consider</u>

27 = 3³

__________________________

{3}^{x + 4}  =  {27}^{x}

{x}^{x + 4}  = ( {3}^{3} )^{x}

{3}^{x + 4}  =  {3}^{3(x)}

{3}^{x + 4}  =  {3}^{3x}

x + 4 = 3x

4 = 3x - x

4 = 2x

\frac{4}{2}  = x

2 = x

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3 0
3 years ago
“the perimeter of the rectangle below is 90 units. find the length of side PS. write your answer without variables.”
Rzqust [24]

Answer:

19

Step-by-step explanation:

The opposite sides are equal, so:

PS = 3y+1

RS = 4y+2

QR = 3y+1

PQ = 4y+2

Therefore, we can set the perimeter 90 = PS+RS+QR+PQ

90 = (3y+1) + (4y+2) + (3y+1) + (4y+2), or,

90 = 2(3y+1) + 2(4y+2)

90 = 6y+2 + 8y+4

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84 = 14y

y = 6

Then, we go back to the question. It's asking for the length of PS. PS = 3y+1, so we plug in 6 for y

3(6)+1

18 + 1 = <u>19</u>

5 0
3 years ago
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