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romanna [79]
3 years ago
5

Determine the value of the missing sides for the following triangle

Mathematics
1 answer:
pshichka [43]3 years ago
7 0

x=√128/3,

Y=16√2/3

Step-by-step explanation:

explanation is in the image above

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What is an equation of the line perpendicular to y=-x-2 and through (-2, 4)?
Salsk061 [2.6K]

Answer: y = x + 6

Step-by-step explanation:

\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:perpendicular\:to\:}y=-x-2\mathrm{\:that\:passes\:through\:}\left(-2,\:4\right)

\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}

m=-1

\mathrm{The\:perpendicular\:slope\:is\:the\:negative\:reciprocal\:of\:the\:given\:slope}

\left(-1\right)m_p=-1

\frac{\left(-1\right)m_p}{-1}=\frac{-1}{-1}

m_p=1

\mathrm{Compute\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:for\:slope\:m=}1\mathrm{\:and\:passing\:through\:}\left(-2,\:4\right)\mathrm{Plug\:the\:slope\:}1\mathrm{\:into\:}y=mx+b

y=x+b

\mathrm{Plug\:in\:}\left(-2,\:4\right)\mathrm{:\:}\quad \:x=-2,\:y=4

4=\left(-2\right)+b

-2+b=4

\mathrm{Add\:}2\mathrm{\:to\:both\:sides}

-2+b+2=4+2

\text{Simplify}

b=6

\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=1\mathrm{\:and\:}\mathbf{b}=6

y=x+6

3 0
2 years ago
If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days ?
Gemiola [76]
If 100 cats killed 100 mice in 100 days, you can say that each cat killed one mouse the day after the last cat. So, if four cats killed four mice, and we're going of off the same basis that each cat killed one mouse the day after the last cat, then the answer would be 4.
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Answer:

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Step-by-step explanation:

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6 0
2 years ago
The product of 12 and k is 84
Vedmedyk [2.9K]

Answer:

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Hope this helps

-Amelia

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