What value of k makes the equation true? (5a²b³)(6a^k(b))=30a^6(b^4)

Ответ:

jamieric0324

04.01.2022

we have

$(5a^{2} b^{3} )(6a^{k}b)=30 a^{6}b^{4}$

Multiply the left side and then compare with the right side

$(5a^{2} b^{3} )(6a^{k}b)$

Combine like terms

$(5*6)(a^{2}*a^{k})(b^{3}*b)\\=(30)(a^{k+2})(b^{4})$

Compare with the right side

$(30)(a^{k+2})(b^{4})=30 a^{6}b^{4}$

$(a^{k+2})=a^{6}$

k+2=6

solve for k

k=6-2=4

therefore

the answer is the option C

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rachelrogers85

08.12.2022

The perimeter of the larger sign : 144*1,25= 180 inches

Side of the triangle= 180/3= 60 inches

square of the height= 60^(2) - 30^(2)= 2700 ( Pythagoras' theorem)

height= square root ( 2700)= 51,96

Step-by-step explanation:

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