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3 years ago

Which equation represents a line that passes through (–2, 4) and has a slope of 2/5 ?

1 answer:

3 0

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ -2}}\quad ,&{{ 4}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{2}{5}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-4=\cfrac{2}{5}[x-(-2)]
\implies 
y-4=\cfrac{2}{5}(x+2)
\\\\\\
y-4=\cfrac{2}{5}x+\cfrac{4}{5}\implies y=\cfrac{2}{5}x+\cfrac{4}{5}+4\implies y=\cfrac{2}{5}x+\cfrac{24}{5}$

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Olivia is planning to study for 8 hours. she has to spend studying English twice the time she needs for science and the time she

vaieri [72.5K]

Answer:

science = $\frac{4}{3} \ hours$

English = $\frac{8}{3} \ hours$

Math = 4 hours

Step-by-step explanation:

let the number of hours spend on science = x

Hence the number of hours on English will be = 2x

Given that the number of hours spend on science is one third of the time spend on maths. Hence the time spend on math is 3 times that of the time spend on science. That the time spend on maths is = 3x

Hence the total time to study is

x+2x+3x

which is given as 8 hours

Hence

x+2x+3x =8

6x=8

dividing both sides by 6

$\frac{6x}{6}=\frac{8}{6}$

$x=\frac{8}{6}$

$x=\frac{4}{3}$

Hence the number of hours foe studying science = $\frac{4}{3}$

Number of hours to study English = $\frac{4}{3} \times 2$ = $\frac{8}{3}$

Number of hours to study Math= $\frac{4}{3} \times 3$ = $4$

5 0

3 years ago

Somone explain this question to me ? And help me do it

vlabodo [156]

To answer your question the correct answer would be the last one because you would have to slide the triangle to the right to (1,1) and reflect it over the x-axis so that it became (-1,-1)

hope this helps

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3 years ago

PLEASE HELP IM FAILING THIS CLASS

BaLLatris [955]

Answer:Y=3x+7.25

Step-by-step explanation:

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3 years ago

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A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in

Andreyy89

So, she has 3hrs to grade all papers, for 35 students.. alrite.

the first 5, she does them in 30minutes.. what's the speed rate? well, 5/30 or 1/6

now, she has still 2 hours and a half, or 150 minutes, to do the remaining 30 papers... she has to work at a rate of 30/150 then... which is 1/5 simplified.

now if we take 1/6 as the 100%, what is 1/5 in percentage then?

$\bf \begin{array}{ccllll}
rate&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{1}{6}&100\\\\
\frac{1}{5}&x
\end{array}\implies \cfrac{\frac{1}{6}}{\frac{1}{5}}=\cfrac{100}{x}\implies \cfrac{1}{6}\cdot \cfrac{5}{1}=\cfrac{100}{x}\implies \cfrac{5}{6}=\cfrac{100}{x}
\\\\\\
x=\cfrac{6\cdot 100}{5}\implies x=120$

so 1/5 is 120% in relation to 1/6... meaning the rate of 1/5 she needs to move through, namely 1 paper every 5 minutes, is 20% faster than 1/6.

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The triangle below is isosceles. Find the length of side x in simplest radical form with

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That all cause u the length of the time

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