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4 years ago

Solve this inequality. 8x + 6 less than or equel to 54

Mathematics

1 answer:

Step2247 [10]4 years ago

6 0

Answer:

$x\le 6$

Step-by-step explanation:

We need to solve the given inequality $8x+6\le 54$ ....(1)

Subtract 6 on both sides of the equation as :

$8x+6-6\le 54-6\\\\8x\le 48$

Dividing both sides of the equation by 8 such that,

$x\le 6$

So, the value of x is less than equal to 6. Hence, this is the required solution.

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san4es73 [151]

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Use identity for angle between 2 vectors:
$u*v = |u| |v| cos \theta$

Evaluate dot product and unit vectors:
$u*v = (4,0,0)*(1,5,2) = 4 \\ \\ |u| = \sqrt{4^2 +0^2+0^2} = 4 \\ \\ |v| = \sqrt{1^2 + 5^2+2^2} = \sqrt{30}$

Sub into identity and solve for theta:
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Angle of intersection is about 79 degrees.

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