Expanding the limit, we get (x^2+2x∆x+∆x^2-2x-2∆x+1-x^2+2x-1)/<span>∆x
Crossing the 1s , the 2xs, and the x^2s out, we get
(2x</span>∆x+∆x^2-2∆x)/<span>∆x
Dividing the </span><span>∆x, we get
2x+</span><span>∆x-2.
Making the limit of </span><span>∆x=0, we get 2x-2.</span>
Answer:
The equation of line is:

Step-by-step explanation:
We are given that a graph is a that passes through two points:
and 
We know that the equation of line passing through two points:
and
is given by:

Here we have:
and 
Hence, the equation of line is:

Hence the equation of line is:

Option B: The area of the trapezoid is 157.5 m²
Explanation:
We need to determine the area of the trapezoid.
The area of the trapezoid can be determined by the formula,

where h is the height, a and b are the base of the trapezoid.
From the figure, it is obvious that
,
and 
Substituting these values in the formula, we have,

Simplifying the terms, we have,

Multiplying the terms in the numerator, we have,

Dividing, we get,

Thus, the area of the trapezoid is 157.5 m²
Hence, Option B is the correct answer.
Answer:
4/10
Step-by-step explanation:
1/10 + 3/10 = 4/10
Answer:
<h2>b) 4,5,15</h2><h2 />
Step-by-step explanation:
In a triangle of sides‘s length a , b and c
in order to be able to form (construct) this triangle we must have :
c - a < b < c + a
in fact this work with cases a) ,c) and d)
but not b)
because 15 - 4 is not < to 5
in other words 15 - 4 > 5