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snow_lady [41]
4 years ago
15

Triangle DEF is similar to triangle GHK. What is the value of DF if GK is 3.4 inches, Ef is 2.5 inches, and HK is 9 inches

Mathematics
1 answer:
xeze [42]4 years ago
6 0
<span>The corresponding sides of similar triangles are in same ratio. Hence DF/GK=EF/HK or DF=EFxGK/HK =2.5x3.4/9 =0.94 Hence DF=0.94</span>
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21. Which of the following statements is true?
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3 years ago
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Read 2 more answers
Find the general solution for differential equation<br><br> (D4 - 5D3 + 5D2 + 5D - 6)y = 0
slava [35]
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=> D4 - 5D3 + 6D2 - D2 + 5D - 6 = 0

=> D2 (D2 - 5D + 6) - (D2 - 5D + 6) = 0

=> (D2 - 5D + 6)(D2 - 1) = 0           ................................(1)

Now

D2  - 1 = (D - 1)(D + 1)  and

Factors of D2 - 5D + 6

D2 - 5D + 6 = D2 - 2D - 3D + 6

= D(D - 2) - 3(D - 2)

= (D - 3)(D - 2)

Therefore, equation (1) implies

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=> D = 3, 2, 1, -1 or D = -1, 1,, 2, 3

=> General solution of differential equation is,<span>

=><span> y = C1 e-x + C2 ex + C3 e2x + C4 e3x</span> .

Hope it helps
</span>
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