Answer:
1) solve x+1/x = 5






2) solve x³+1/x³

substitute x = 1/4 into the expression





<u>Solution-</u>
From the figure,
AE = 2.4
EB = 2.8
BC = 11.7
Area of rectangle 1 = 8.68 sq.in

(∵ sides of the rectangle 2)
Area of Triangle 1 = 6.48 sq.in


(∵ sides of the rectangle 1)


(∵ sides of the rectangle 2)



The area of Rectangle 2,

The area of Triangle 2,

The area of the whole figure = Area of Triangle 1 + Area of rectangle 1 + Area of Triangle 2 + Area of rectangle 2
= 6.48+8.68+8.82+6.44=30.42 sq.in
Answer:
The triangle is a right triangle
Step-by-step explanation:
For the triangle to be right, Pythagoras’ theorem must be obeyed
According to the theorem, the square of the longest side (the hypotenuse) equals the sum of the squares of the two other sides
Now, from the given side lengths, the highest value is 10;
squaring this, we have 10^2 = 100
Squaring and adding the other values, we have
6^2 + 8^2 = 36 + 64 = 100
This mean the values are equal and the Pythagoras’ theorem is obeyed
Hence, we can conclude that the triangle with the given side lengths is a right triangle
Answer:
Option D is correct.
D- A number that cannot be expressed as a fraction, , where p and q are integers
Step-by-step explanation:
Irrational number:
An irrational number can not be expressed as a fraction or ratio of integers, like
where p and q are integers
And also it can not be expressed as terminating decimal or repeating decimal
Example of the irrational number is given below.



Therefore option D (A number that cannot be expressed as a fraction, , where p and q are integers) is correct .
Answer:
4
Step-by-step explanation:
Every term is basically a part of the equation that are separated by the plus or minus signs. There are 4 terms, 3t^3, 2t^2, 5t, and 3, since they are not further simplifiable