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ale4655 [162]
3 years ago
11

Use cramers rule to solve 4x+3y=4 -3x-y=7 show your work

Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0
\left\{\begin{array}{ccc}4x+3y=4\\-3x-y=7\end{array}\right\\\\D=  \left|\begin{array}{ccc}4&3\\-3&-1\end{array}\right|=(4)(-1)-(-3)(3)=-4+9=5\\\\D_x=\left|\begin{array}{ccc}4&3\\7&-1\end{array}\right|=(4)(-1)-(7)(3)=-4-21=-25\\\\D_y=\left|\begin{array}{ccc}4&4\\-3&7\end{array}\right|=(4)(7)-(-3)(4)=28+12=40\\\\x=\dfrac{D_x}{D}\Rightarrow x=\dfrac{-25}{5}=-5\\\\y=\dfrac{D_y}{D}\Rightarrow y=\dfrac{40}{5}=8
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PLEASE HELP!!!!! explain too please
ale4655 [162]

Answer:

8. Not similar

9. Similar

Step-by-step explanation:

8. You could try to us the AA theorem which means that two angles in the triangle are equal, which would mean that the triangles are similar. But 46+58=104 and 180-104=76 so there are not two similar angled between the triangles.

9. You can use the same theorem for this problem (AA). So 106+31=137 and then 180-137=43 which is one of the angles in the second triangle. Since at least two of the angles are equal, you can use AA theorem yo prove they are similar.

Hope this helps!

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The ratio between x and y is 1:4. 4 times 4 is 16. Hope this helped! :)

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Answer:

15

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