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3 years ago

Help with #2, thank you :)

Mathematics

2 answers:

ahrayia [7]3 years ago

5 0

Answer:

2) 2^6

Step-by-step explanation:

$(2^{2})(2^{4}) = 2^{2+4} = 2^{6}$

marishachu [46]3 years ago

4 0

Answer:

2^6

Step-by-step explanation:

2^2 + 2^4 = 2^6

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Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

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Answer:

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Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

$\sf\longrightarrow 3x - 2y +7=0$

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Step 1 : Convert the equations in slope intercept form of the line .

$\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}$

and ,

$\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}$

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

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And the slope of the second line is ,

$\sf\longrightarrow Slope_2 =\dfrac{-6}{a}$

Step 3: Multiply the slopes :-

$\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1$

Multiply ,

$\sf\longrightarrow \dfrac{-9}{a}= -1$

Multiply both sides by a ,

$\sf\longrightarrow (-1)a = -9$

Divide both sides by -1 ,

$\sf\longrightarrow \boxed{\blue{\sf a = 9 }}$

Hence the value of a is 9 .

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