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2 years ago

5

two sides of a triangle are equal in length. the length of the third side is three more than the length of the equal sides. the

perimeter of the triangle is 93cm. find the sides of the triangle

1 answer:

cluponka [151]2 years ago

4 0

Answer:

each side is 31cm

Step-by-step explanation:

91/3=31

31+31+31=93

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oksano4ka [1.4K]

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Step-by-step explanation:

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3 years ago

Four students are trying to determine what number must replace the question (x^2)^7=x^4*x^8 in order to make it true

tiny-mole [99]

Answer:

Joe is correct

Step-by-step explanation:

Given equation:

$(x^2)^?=x^4 \cdot x^8$

The exponent outside the bracket is a question mark and the students are trying to determine the value of the question mark.

For ease of answering, let y be the unknown number (question mark):

$\implies (x^2)^y=x^4 \cdot x^8$

First, simplify the equation by applying exponent rules to either side of the equation:

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}\quad\textsf{to the left side}:$

$\implies (x^2)^y=x^4 \cdot x^8$

$\implies x^{2y}=x^4 \cdot x^8$

$\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c} \quad \textsf{to the right side}:$

$\implies x^{2y}=x^4 \cdot x^8$

$\implies x^{2y}=x^{4+8}$

$\implies x^{2y}=x^{12}$

Now, apply the exponent rule:

$x^{f(x)}=x^{g(x)} \implies f(x)=g(x)$

Therefore,

$x^{2y}=x^{12}\implies 2y=12$

Finally, solve for y:

$\implies 2y=12$

$\implies 2y \div 2 = 12 \div 2$

$\implies y=6$

Therefore, <u>Joe is correct</u> as the unknown number is 6.

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The answer is X=1.
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3 years ago

Help me cause I want answers

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