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Zina [86]
3 years ago
8

Y varies directly as x and y = 18 when x= 1/2. write an equation that relates y and x

Mathematics
1 answer:
Mice21 [21]3 years ago
5 0
\bf \qquad \qquad \textit{direct proportional variation}
\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=18\\
x=\frac{1}{2}
\end{cases}\implies 18=k\cfrac{1}{2}\implies 18=\cfrac{k}{2}
\\\\\\
36=k\qquad therefore\qquad \boxed{y=36x}
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(2-7m^6)^2<br><br><br> i dont know this
Pavel [41]
(2-7m^6)^2

rearrange terms:

(2-7m^6)^2

(-7m^6 + 2)^2

expand the squares:

(-7m^6 + 2)^2

(-7m^6 + 2)(-7m^6 + 2)

distribute:

(-7m^6 + 2)(-7m^6 + 2)

-7(-7m^6 + 2) • m^6 + 2(-7m^6 + 2)

distribute:

-7(-7m^6 + 2) • m^6 + 2(-7m^6 + 2)

49m^12 - 14m^6 + 2(-7^6 +2)

distribute:

49m^12 - 14m^6 + 2(-7^6 +2)

49m^12 - 14m^6 - 14m^6 + 4

combine like terms:

49m^12 - 14m^6 - 14m^6 + 4

49m^12 - 28m^6 + 4

solution:

49m^12 - 28m^6 + 4



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7 0
2 years ago
What is 37/5 as a mixed number?
Sveta_85 [38]
7 2/5 is a mixed number for 37/5.
5 0
2 years ago
Emily ran her first lap in 75 seconds she ran her second lap in 69 seconds using percentages how much better was her second lap
julsineya [31]

Answer:

Her second lap was <u>8%</u> better when compared to her first lap.

Step-by-step explanation:

Given:

Emily ran her first lap in 75 seconds she ran her second lap in 69 seconds.

Now, to find how much better was her second lap when compared to her first lap.

Emily ran her first lap in 75 seconds.

Emily ran her second lap in 69 seconds.

So, we get the difference in seconds:

75-69=6\ seconds.

<u><em>Thus, in her second lap she was 6 seconds better than first.</em></u>

Now, to get the percentage of her first lap better than second:

\frac{6}{75}\times 100

=0.08\times 100

=8\%.

Therefore, her second lap was 8% better when compared to her first lap.

7 0
3 years ago
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Anna [14]

Answer:

1 2/9 minutes faster

Step-by-step explanation:

Take the larger number and subtract the smaller number

8 5/9 minutes - 7 1/3 minutes

Get a common denominator

8 5/9 - 7 1/3 *3/3

8 5/9 - 7 3/9

1 2/9 minutes faster

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3 years ago
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earnstyle [38]

Answer:

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Step-by-step explanation:

SAS  =  side- angle- side

It requires two sides and the included angle be congruent.

Given one congruent side and one congruent adjacent angle.

<u>In addition to what is given we need the other side be congruent too:</u>

  • XY ≅ TU
8 0
2 years ago
Read 2 more answers
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