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2 years ago

Value of t? 1.4t — 0.4 (t — 3.1) = 5.8

Mathematics

1 answer:

IceJOKER [234]2 years ago

6 0

Hi!

<h3>Use the distribution property</h3>

1.4t — 0.4 * t - 0.4 * —3.1 = 5.8

1.4t — 0.4t - 1.24 = 5.8

<h3>Simplify</h3>

1t - 1.24 = 5.8

<h3>Add 1.24 to both sides</h3>

1t - 1.24 + 1.24 = 5.8 + 1.24

1t = 7.04

<h2>The answer is t = 7.04</h2>

Hope this helps! :)

-Peredhel

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$\\$

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To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be $\: \sf{d_1} \:$ and the line that is parallel to $\: \sf{d_1} \:$ be $\: \sf{d_2} \:$ .

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

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⇒Subtitute the values :

$\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}$

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Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

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$\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \: the \: line \: and \: b \: is \: the \: y-intercept.}$

$\implies \sf{y = \bold{\dfrac{7}{6}}x + b}$ $\\$

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Therefore, the equation of the line $\: \bold{d_1} \:$ is $\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

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