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3 years ago

Find the smallest solution of the equation 2/3x^2=24

1 answer:

5 0

$\dfrac{2}{3} {x}^{2} \: \: = \: \: 24 \\ \\ \: {x}^{2} \: \: = 24 \: \times \: \dfrac{3}{2} \\ \\ \: {x}^{2} \: \: = \: \: 36 \\ \\ x = 6 \: \: or \: \: x = - 6 \: \: \: \: \\$

Hence , smallest solution is -6

Hope it helps you ! :)

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2 years ago

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4 0

2 years ago

Can someone please help with #16

ollegr [7]

Answer:

∠ WZX = 50°

XW is not an altitude.

Step-by-step explanation:

16. See the attached figure.

XW is the angle bisector of ∠ YXZ, hence, ∠ WXY = ∠ WXZ

Now, given that ∠ YXZ = 8x + 34 and ∠ WXY = 10x - 13

Hence, ∠ YXZ = 2 ∠ WXY

⇒ 8x + 34 = 2(10x - 13)

⇒ 8x + 34 = 20x - 26

⇒ 12x = 60

⇒ x = 5.

Hence, ∠ XZY = ∠ WZX = 10x = 50° (Answer)

Now, ∠ WXZ = ∠ WXY = 10x - 13 = 37°

Hence, from Δ WXZ,

∠ WZX + ∠ WXZ + ∠ XWZ = 180°

⇒ 50° + 37° + ∠ XWZ = 180°

⇒ ∠ XWZ = 93° ≠ 90°

Hence, XW is not an altitude. (Answer)

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2 years ago