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3 years ago

2x - y = 5

Mathematics

2 answers:

goldfiish [28.3K]3 years ago

6 0

Im pretty sure that the answer it is A. 7
because if you subtract 2 from 7 you get 5

Lesechka [4]3 years ago

5 0

The two equations are,

1. 2 x- y=5

2. x + 3 y =7

To determine the y-determinant, we will evaluate

$\begin{vmatrix} 2& 5\\ 1& 7\end{vmatrix}\\\\\\=14-5=9\\\\ As,D= \begin{vmatrix} a& b\\ c& d\end{vmatrix}\\\\ D= a d - b c$

Option (B)→ 9 is correct y-Determinant.

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2 years ago

Evaluate the following integral using trigonometric substitution.

wariber [46]

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Step-by-step explanation:

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3.) Rewriting the given integral using the substiution will result into;

$\int\limits {7\sqrt{49-x^{2} } } \, dx \\= \int\limits {7\sqrt{7^{2} -x^{2} } } \, dx\\= \int\limits {7\sqrt{7^{2} -(7sin\theta)^{2} } } \, dx\\= \int\limits {7\sqrt{7^{2} -49sin^{2}\theta } } \, dx\\= \int\limits {7\sqrt{49(1-sin^{2}\theta)} } } \, dx\\= \int\limits {7\sqrt{49(cos^{2}\theta)} } } \, dx\\since\ dx = 7cos\theta d\theta\\= \int\limits {7\sqrt{49(cos^{2}\theta)} } } \, 7cos\theta d\theta\\= \int\limits {7\{7(cos\theta)} }}} \, 7cos\theta d\theta\\$

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3 years ago

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dalvyx [7]

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3 years ago