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lora16 [44]
3 years ago
15

Solve. Show all steps. 1/8 x = 1/2

Mathematics
2 answers:
In-s [12.5K]3 years ago
5 0

Answer:

x = 4

Step-by-step explanation:

1/8 * x = 1/2

x = 1/2 *8

x = 4

hope it help you

Law Incorporation [45]3 years ago
3 0

Answer:

\frac{1}{8} x =  \frac{1}{2}  \\ x =  \frac{8}{2}  \\  \boxed{x = 4}

<h3><u>x=4</u> is the right answer.</h3>
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3 years ago
Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)
Sedbober [7]

Answer:   \bold{y=-\dfrac{1}{3}x-1}

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\

Next, find the midpoint of (4, 1) and (2, -5):

Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\


6 0
3 years ago
Determine the domain of the function. <br> f(x) = 13/3-x
Sedbober [7]
Hi..... the domain(D) will be:

\mathtt {f(x)=\dfrac{13}{3-x}\rightarrow \boxed{D=\{x\in R\,|\,x\neq 3\}}}

Thanks... :)
6 0
3 years ago
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