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bearhunter [10]
2 years ago
8

If 2^x3^y=18 and 2^x×3^y=36 then find the value of x and y​

Mathematics
1 answer:
lesantik [10]2 years ago
3 0

Answer:

x = 1

y = 2

Step-by-step explanation:

x=1 and y=2.

step 1 ,

2^2x*3^y=36

3^y= 36/2^2x ———- equal 1

step 2,

put the value of 3^y in 2^x*3^y = 18 (equal 1)

WHEN BASES ARE SAME POWERS ARE SUBTRACTED IN CASE OF DIVISION.

Therefore, 2^x-2^2x= 1/2

2^-x= 1/2

(1/2)^x = 1/2

COMPARING THE POWERS BECAUSE THE BASE IS SAME.

x=1.

Now, putting the value of x=1 in 2^x*3^y = 18

y=2.

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x=2

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4vir4ik [10]

Answer:

\large\boxed{y-5=-4(x-3)}\\\boxed{y-8=\dfrac{1}{2}(x+1)}

Step-by-step explanation:

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y-y_1=m(x-x_1)

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8 0
3 years ago
Julio’s rotation maps point K(–6, 9) to K’(9, 6). Which describes the rotation?
11Alexandr11 [23.1K]
90 degrees clockwise

5 0
3 years ago
Read 2 more answers
Write as a decimal<br><img src="https://tex.z-dn.net/?f=1%20%5Ctimes%20%5Cfrac%7B5%7D%7B8%7D%20" id="TexFormula1" title="1 \time
Sever21 [200]

<em>Answer</em>

<u>0.625</u>

<em>Explanation</em>

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<em>hope this helps!</em>

<em>have a great day :)</em>

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