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aliya0001 [1]
3 years ago
12

What is the missing coefficient of the x-term of the product (-x-5)2 after it has been simplified?

Mathematics
2 answers:
LiRa [457]3 years ago
8 0

Answer:

The missing coefficient of the x-term of the product (-x-5)2 is 10.

Step-by-step explanation:

<h3>Solution:</h3>

Through whole square formula.

(-x-5)2 = (-x)^2 -2(-x)(5)+(5)^2

=x^2+10x+25

Therefore, the missing coefficient of the x-term of the product is 10

nordsb [41]3 years ago
8 0

Answer:

10

Step-by-step explanation:

The given expression is

(-x-5)^2

We need to find the coefficient of x.

According to the property of algebra.

(a-b)^2=a^2-2ab+b^2

In the given expression a=-x and b=5.

Substitute a=-x and b=5 in the above formula.

(-x-5)^2=(-x)^2-2(-x)(5)+(5)^2

On further simplification we get

(-x-5)^2=x^2+10x+25

Coefficient of x is a multiplicative factor of x.

Therefore, the coefficient of x is 10.

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A. The approximate height of the building is 100 m

B. We can use the arc length formula to obtain an approximation of BC since angle A is small.

A.

The approximate height of the building is 100 m

To find the approximate height of the building, we consider the diagram.

From the diagram, we have that using trigonometry,

tanA = BC/AB

Now

  • A = 0.05 radians,
  • BC = height of building and
  • AB = 2 km = 2000 m
<h3 /><h3>Finding the value of BC</h3>

So, making BC subject of the formua, we have

BC = ABtanA

Substituting the values of the variables into the equation, we have

BC = ABtanA

BC =2000tan0.05

BC = 2000 × 0.05

BC = 100 m

So, the approximate height of the building is 100 m

B.

We can use the arc length formula to obtain an approximation of BC since angle A is small.

<h3 /><h3>Arc Length Formula</h3>

We know that the arc length formula L = rФ where

  • r = radius and
  • Ф = angle in radians
<h3 /><h3>The approximate height</h3>

Now BC = ABtanA

We know that Ф ≅ tanФ when Ф is small.

<h3 /><h3>The comparison</h3>

So, BC = AB × A which is the arc length formula with

  • L = BC,
  • r = AB and
  • Ф = A

So, we can use the arc length formula to obtain an approximation of BC since angle A is small.

Learn more about approximate height of building here:

brainly.com/question/3144976

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