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3 years ago

What is the equation of the line that passes through the point (1, 3) and is perpendicular to the line 2x+3y=15?

Mathematics

1 answer:

WARRIOR [948]3 years ago

5 0

Answer:

Step-by-step explanation:

first let's convert the equation to y=2/3x+5

since the line is perpendicular we know that m=-3/2=1.5. now we just need to plug these numbers into an equation.

3=(-1.5)1+b

multiply.

3=-1.5+b

now add 1.5 to both sides of the equation.

4.5=b

change that into a fraction.

9/2.

now using 9/2 as b and -3/2 as m we have our equation:

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3 years ago

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3 years ago

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4 years ago

Select all the expressions equivalent to: (4^5)⋅4^3 Group of answer choice 2^14 4^12 2^16 16^8 4^8 16^4

kumpel [21]

Answer:

Choices given as $2^{16}, 4^8$ and $16^4$ are correct.

Step-by-step explanation:

Given expression is,

$(4^5)(4^3)$

By applying law of exponents in the given expression,

$(4^5)(4^3)=4^{5+3}$

$=4^8$

$(4^5)(4^3)=(2^2)^5(2^2)^3$

$=(2^{2\times 5})(2^{2\times 3})$

$=2^{10}\times 2^6$

$=2^{16}$

$=(2^4)^4$

$=(16)^4$

Therefore, choices given as $2^{16}, 4^8$ and $16^4$ are correct.

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3 years ago