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JulsSmile [24]
3 years ago
13

On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5). What is the equation of the line parall

el to the given line with an x-intercept of 4?
Mathematics
1 answer:
Alex777 [14]3 years ago
7 0
Y = mx + c

m = gradient

gradient of line:
[5 - (-3)]/[(-1) - (-3)]
= 8/2
= 4

y = mx + c
subsitute (4, 0)
0 = (4)(4) + c
0 = 16 + c
c = -16

equation of the line:

y = 4x - 16

hope this helped :)



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A person who is 68in tall casts a shadow that is 54in long. At the same moment, a tree casts a shadow that is 18ft long. What is
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Answer:

<u>22.67 ft</u> is the height of tree.

Step-by-step explanation:

Given:

Height of a person is 68 in and casts a shadow that is 54 in long.

At the same point, a tree casts a shadow that is 18 ft long.

Now, to find the height of tree.

Let the height of tree be x.

If height of a person is 68 in he casts a shadow of 54 in.

So, 68 in is equivalent to 54 in.

Thus, x is equivalent to 18 ft.

Now, to get the height of tree by using cross multiplication method:

\frac{68}{54} =\frac{x}{18}

<em>By cross multiplying we get:</em>

<em />1224=54x<em />

<em>Dividing both sides by 54 we get:</em>

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x=22.67\ ft.

Therefore, the height of the tree is 22.67 ft.

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