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ch4aika [34]
2 years ago
8

What is the equation of the line that passes through the point (3,6) and has a slope of -1/3

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
4 0

\Large\texttt{Answer\::}

Please consult the "Calculations" section of this ans .

\Large\texttt{Calculations\::}

The information we're given is below :

  • slope : -1/3
  • Point crossed by the line : (3, 6)

As per given information , we can do the following :

  • Write the line's equation in point slope form

Point - slope form looks like so :

y-y₁=m(x-x₁)

y-6=-1/3(x-3)

y-6=-1/3x+1

y=-1/3x+1+7

y=-1/3x+6

↑ \small\textsc{EQUATION OF THE LINE}

\small\textit{hope\:helpful~}

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Answer:

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In business terms, the word agreement is equivalent to the word _____.
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3 years ago
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Solve the right triangle, ΔABC, for the missing sides and angle to the nearest tenth given angle B = 27° and side c = 15.
nignag [31]

Answer:

Part 1) C=90\°

Part 2) A=63\°

Part 3) b=6.8\ units

Part 4) a=13.4\ units

Step-by-step explanation:

step 1

Find the measure of angle C

we know that

The triangle ABC is a right triangle

so

Angle C is a right angle

therefore

C=90\°

step 2

Fin the measure of angle A

we know that

In the right triangle ABC

∠B+∠A=90° -----> by complementary angles

we have

B=27\°

substitute

27\°+A=90\°

A=63\°

step 3

Find the length side b

we know that

In the right triangle ABC

sin(B)=b/c

b=(c)sin(B)

substitute the given values

b=(15)sin(27\°)=6.8\ units

step 4

Find the length side a

we know that

In the right triangle ABC

sin(A)=a/c

a=(c)sin(A)

substitute the given values

a=(15)sin(63\°)=13.4\ units

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3 years ago
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3 years ago
What is the sum of 36(6 - 4) and 6(6 – 8)?
Dmitry_Shevchenko [17]

Answer:

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Step-by-step explanation:

=36(6 - 4) 6(6 – 8)

= 36(2) + 6 (-2)

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hope it helps!

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