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BlackZzzverrR [31]
3 years ago
13

1/2n+3=6 what is the solution to this equation

Mathematics
2 answers:
nata0808 [166]3 years ago
7 0

Answer:

n=6

Step-by-step explanation:

1/2 n + 3 = 6

Subtract 3 from each side

1/2 n +3-3=6-3

1/2n = 3

Multiply each side by 2

1/2 n * 2 = 3*2

n = 6

Mkey [24]3 years ago
3 0

Given that,

1/2n + 3 = 6

Now we can subtract 3 from each side,

→ 1/2 n +3-3 = 6-3

→ 1/2n = 3

Now we can multiply each side by 2,

→ 1/2 n × 2 = 3 × 2

→ n = 6

Hence, 6 is the correct answer.

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What are the solutions to the equation? x2−14x=15 Enter your answers in the boxes. x = and
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What is the slope of the line that passes through the points (8,-8) and (5,-1)?
dezoksy [38]

Hey there!

  • Answer :

\sf{ \purple{ \boxed{\bold{m =  -  \dfrac{7}{3} }}}}

\\

  • Explanation :

We are given the points \sf{P_1(\overbrace{ \blue{8}}^{\blue{x_1}} ,\underbrace{\orange{-8}}_{ \orange{y_1}}) \: and \: P_2(\overbrace{ \green{5}}^{\green{x_2}} ,\underbrace{\red{-1}}_{\red{y_2} })} . To find the slope \sf{\purple{m}} of such a line, we use the slope formula which is the following:

\sf{ \purple{m} }=  \dfrac{\Delta y}{\Delta x}  =  \dfrac{ \red{y_2} - \orange{y_1}}{ \green{x_2 }- \blue{x_1}}

\\

⇢Now, by plugging in our values, we get :

\sf{ \purple{m}} =  \dfrac{ \red{ - 1} -  \orange{( - 8)}}{ \green{5} \:   -  \:  \blue{8}}  =  \dfrac{ \:  \: 7 \: }{ -  3 \: }  \\  \\  \implies \sf{ \purple{ \boxed{m =  -  \dfrac{7}{3} }}}

Therefore, the slope of the line is \sf{ \purple{ \boxed{m =  -  \dfrac{7}{3} }}}

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