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Mashcka [7]
3 years ago
7

What is an equation of the line that passes through the point (-6, – 7) and is perpendicular to the line 6x + 5y = 30?

Mathematics
1 answer:
fomenos3 years ago
3 0

Answer :6x + 5y = 30

5y = 30 - 6x

y = 6 - (6/5) x

So slope = -6/5

Perpendicular line has slope 5/6   (product of the slopes is -1)

So y = 5/6 x            +   b

Passed through (-6, -7) so           -7  =   -5  + b

Sp b = -2

So y = (5/6)x - 2

Step-by-step explanation:

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Answer:

24.59 feet

Step-by-step explanation:

Let x represent the distance between Sam and the bird.

We have been given that am the owl is looking down at a 24° angle from the top of a tree that is 10 ft tall, when he spots a bird on the ground. We are asked to find the distance between Sam and the bird.

We can see from our attachment that Sam, the bird and angle of depression forms a right triangle with respect to ground. We can see that side 10 ft is opposite side and and side x is hypotenuse for the 24 degree angle.

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

\text{sin}(24^{\circ})=\frac{10}{x}

x=\frac{10}{\text{sin}(24^{\circ})}

x=\frac{10}{0.406736643076}

x=24.5859333557

x\approx 24.59

Therefore, the bird is approximately 24.59 feet away from Sam.

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3 years ago
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Step-by-step explanation:

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Write 100 as a product of primes.<br> Use index notation when giving your answer.
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Step-by-step explanation:

2)100

2)  50

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