
Solution:
Given expression is
.
To simplify the expression 
Let us first convert the mixed fraction into improper fraction.



Take LCM for the denominators (LCM of 4, 8 = 8) and make the same.



Now, divide 51 by 8 and again write it in the mixed fraction.


Hence, the simplified answer is
.
The expressions which represents the slope of a tangent to the curve
at any point (x, y) are:

<h3>The slope of a tangent to the curve.</h3>
Mathematically, the slope of a tangent line to the curve is given by this equation:

Given the function:

When (x + h), we have:

Next, we would find the derivative of f(x):

Read more on slope of a tangent here: brainly.com/question/26015157
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Triangle is attached below
The triangle is 12 by 10 by 8
Perimeter:
To find perimeter we add all the sides of the triangle
Perimeter P = 12 + 10 + 8 = 30 units
Semi perimeter:
Semi perimeter is half of its perimeter
We know P = 30
Semi perimeter s=
=
= 15 units
Area:
If we know the sides of the triangle then we use Heron's formula to find the area of the triangle

Where s= semi perimeter
a,b,c are the sides of the triangle
s= 15 units
a= 12 units
b= 10 units
c= 8 units




A= 39.7 square units