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4 years ago

Can I get some help with equivalent expressions:/ , don’t comment if you’re not gonna help at all :|

Mathematics

1 answer:

antoniya [11.8K]4 years ago

5 0

1)8(y - 7) 2)-2x + 7 3)1 3/5
8y - 7 5x
1y

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Mark walks 1/2 miles in 3/4 of an hour what is the unit rate per hours

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Answer:

$unit \: rate = \frac{distance}{time} \\$

substitute:

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Step-by-step explanation:

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Find the Y-coordinate of point P that lies 1/3 along segment RS, where R (-7, -2) and S (2, 4).

QveST [7]

Solution:

Given that the point P lies 1/3 along the segment RS as shown below:

To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have

$\begin{gathered} RP:PS \\ \Rightarrow\frac{1}{3}:\frac{2}{3} \\ thus,\text{ we have} \\ 1:2 \end{gathered}$

Using the section formula expressed as

$[\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}]$

In this case,

$\begin{gathered} m=1 \\ n=2 \end{gathered}$

where

$\begin{gathered} x_1=-7 \\ y_1=-2 \\ x_2=2 \\ y_2=4 \end{gathered}$

Thus, by substitution, we have

$\begin{gathered} [\frac{1(2)+2(-7)}{1+2},\frac{1(4)+2(-2)}{1+2}] \\ \Rightarrow[\frac{2-14}{3},\frac{4-4}{3}] \\ =[-4,\text{ 0\rbrack} \end{gathered}$

Hence, the y-coordinate of the point P is

$0$

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2 years ago

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Can you see it ? I hope the picture help !

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3 years ago