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Akimi4 [234]
3 years ago
14

X + y=-4 X +2y=13 Using elimination method

Mathematics
1 answer:
laila [671]3 years ago
6 0
\begin{array}{lrlll}
x+y=-4&\times -1\implies &-x-y=4\\
x+2y=13&\implies &\ x+2y=13\\
&&\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\\
&&\boxed{?}+\boxed{?}=\boxed{?}
\end{array}
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Step-by-step explanation:

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The ratio of boys to girls in a classroom is 4 : 5. What is the meaning of this ratio? ​
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Sinx = 1/2, cosy = sqrt2/2, and angle x and angle y are both in the first quadrant.
Leviafan [203]

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we know that

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sin^{2}(\alpha)+cos^{2}(\alpha)=1

step 1

Find cos(X)

we have

sin(x)=\frac{1}{2}

we know that

sin^{2}(x)+cos^{2}(x)=1

substitute

(\frac{1}{2})^{2}+cos^{2}(x)=1

cos^{2}(x)=1-\frac{1}{4}

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Find tan(x)

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substitute

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step 3

Find sin(y)

we have

cos(y)=\frac{\sqrt{2}}{2}

we know that

sin^{2}(y)+cos^{2}(y)=1

substitute

sin^{2}(y)+(\frac{\sqrt{2}}{2})^{2}=1

sin^{2}(y)=1-\frac{2}{4}

sin^{2}(y)=\frac{2}{4}

sin(y)=\frac{\sqrt{2}}{2}

step 4

Find tan(y)

tan(y)=sin(y)/cos(y)

substitute

tan(y)=1

step 5      

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tan(x+y)=\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}

substitute

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7 0
3 years ago
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