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goldfiish [28.3K]
2 years ago
13

Another quick geometry question! Thanks!

Mathematics
1 answer:
miss Akunina [59]2 years ago
5 0
Cross multiply.
14/12=x/18
14 x 18 = 252
252/12= 21
so x=21
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Question 1<br> 2 (4x - 1) + 6<br> Equivalent to what
WARRIOR [948]

Answer:

2 (4x - 1) + 6 = 8x + 4 = 4(2x+1)

Step-by-step explanation:

2 (4x - 1) + 6

= (2*4x + 2*-1) + 6

= 8x - 2 + 6

= 8x + 4

= 4/(2x+1)

8 0
3 years ago
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Kayla is 13 years old. her uncle says that his age minus 22 is equal to kaylas age how old is kaylas uncle?
solniwko [45]
The age of uncle as compared to kavya is 35


4 0
3 years ago
Given that P = (-5, 5) and Q = (-13, 10), find the component form and magnitude of 2 vector PQ.
Brut [27]
Define unit vectors along the x-axis and the y-axis as \hat{i} , \, \hat{j} respectively.

Then the vector from P to Q is
\vec{PQ} = (-13+5)\hat{i} + (10-5)\hat{j} = -8\hat{i} + 5\hat{j}
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The magnitude of vector PQ is
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Answer:
The vector PQ is (-8, 5) and its magnitude is √89  (or 9.434).
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Please help me with these, oh sweet jesus
Lelechka [254]

Answer:

77.  \cot^{6} x = \cot^{4} x \csc^{2}x - \cot^{4} xProved

78.  \sec^{4}x \tan^{2} x = \sec^{2}x [\tan^{2}x + \tan^{4}x ] Proved

79. \cos^{3} x\sin^{2} x = [\sin^{2}x - \sin^{4}x] \cos x Proved.

80. \sin^{4}x - \cos^{4}x = 1 - 2\cos^{2}x + 2 \cos^{4} x Proved.

Step-by-step explanation:

77. Left hand side

= \cot^{6} x

= \cot^{4} x \times \cot^{2} x

= \cot^{4}x [\csc^{2}x - 1]  

{Since we know, \csc^{2} x - \cot^{2}x = 1}

= \cot^{4} x \csc^{2}x - \cot^{4} x  

= Right hand side (Proved)

78. Left hand side

= \sec^{4}x \tan^{2} x

= \sec^{2} x [1 + \tan^{2}x] \tan^{2} x  

{Since \sec^{2}x - \tan^{2}x = 1}

= \sec^{2}x [\tan^{2}x + \tan^{4}x ]

= Right hand side (Proved)

79. Left hand side  

= \cos^{3} x\sin^{2} x

= \cos x[1 - \sin^{2} x] \sin^{2} x

{Since \sin^{2}x + \cos^{2} x = 1}

= [\sin^{2}x - \sin^{4}x] \cos x

= Right hand side

80. Left hand side  

= \sin^{4}x - \cos^{4}x

= [\sin^{2}x + \cos^{2}x]^{2} - 2\sin^{2} x \cos^{2}x

{Since \sin^{2}x + \cos^{2} x = 1}

= 1 - 2\cos^{2} x[1 - \cos^{2}x ]

= 1 - 2\cos^{2}x + 2 \cos^{4} x

= Right hand side. (Proved)

7 0
3 years ago
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liraira [26]
If 0.3 = 1 then 0.9 = 3 because 0.3+0.3+0.3=the 3.
7 0
3 years ago
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