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Alex
3 years ago
15

A 15 foot flagpole casts an 11 foot shadow. At the exact same time a 28 foot tree casts a shadow. Which proportion would correct

ly find the length of the tree's shadow?
Mathematics
1 answer:
marishachu [46]3 years ago
8 0
The longer an object, the longer the shadow they cast at a given time of the day and vice versa. This is called direct proportionality. At the same time,

If 15 foot flagpole ---- casts 11 foot shandow
    28 foot tree -------- casts ?? foot shadow

The proportion would therefore be:

Length of shadow cast by tree = (28/15)*11 = 20.533 foot.
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Write an equation for the line that is parallel to the given line and passes through the given point Y= 1/2 x -8 (-6 ,-17)
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Passes through (-6, -17)

Our given slope is 1/2.

Plug the given coordinates into point-slope form.

y - y₁ = m(x - x₁)

y - (-17) = 1/2(x - (-6))

Simplify.

y + 17 = 1/2(x + 6)  ← Your answer.

However, sometimes teachers want this simplified even further.

So, simplify this.

y + 17 = 1/2x + 3

Subtract 17 from both sides.

y = 1/2x + 3 - 17

Simplify.

y = 1/2x - 14 ← Slope-intercept form.

Standard form → -1/2x + y = -14


~Hope this helped!~
8 0
3 years ago
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The answer I got is (3,6, -1)
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<h3>How to solve the proportion?</h3>

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