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Serjik [45]
3 years ago
8

Which line from the excerpt is an example of objective language? In the course of the construction of the Bridge a number of liv

es have been lost. Does it not sometimes seem as though every work of enduring value . . . must needs be purchased at the cost of human life? Let us recall with kindness at this hour the work of those who labored here faithfully unto the death . . . Let us give our meed of praise to-day to the humblest workman who has here done his duty well . . .
Mathematics
1 answer:
Svetlanka [38]3 years ago
7 0

Answer:

C

Step-by-step explanation:

The answer is C

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A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the a
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Ratio of height of the man to the length of the shadow = 6:9 = 2:3
Ratio of height of the tree to the length of its shadow = x:25 = 2:3
x/25 = 2/3
x = (25 x 2)/3 = 50/3 = 16.67

Therefore the approximate height of the tree to the nearest foot is 17 feet.
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Which equation is a solution to (x-3)(x+9)=27?
Shtirlitz [24]

Answer:

x = ± 3\sqrt{7} - 3

Explanation:

I'm assuming you want the solutions to that equation, so here goes! (If not, please comment.)

(x-3)(x+9)=27

Let's FOIL this all out and expand. (Remember: First, Outer, Inner, Last.)

x^2 +   9x    -    3x    -  27

(first+ inner + outer + last)

x^2 + 9x - 3x - 27 = 27

Combine like terms, and add 27 to both sides.

x^2 + 6x - 27 + 27 = 27 + 27

x^2 + 6x = 54

Let's complete the square, because factoring doesn't work, and because it's good practice.

x^2 + 6x + ___ = 54 + ____

In the blank we will put b/2 ^2 = 6/2 ^2 = 3^2 = 9 to complete the square.

x^2 + 6x + 9 = 54 + 9

Now we've got a perfect square factor:

(x + 3)^2 = 63

sqrt(x+3)^2 = \sqrt{63}

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x = ± 3\sqrt{7} - 3

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