Answer:
6x² + 4x + 10
Step-by-step explanation:
(2x - 2)(3x + 5)
2x(3x + 5) - 2(3x + 5)
6x² + 10x - 6x + 10
6x² + 4x + 10 ans.
hope this helps you !
The value of the given expression is 
Solution:
Given expression is
.
Let us first convert mixed fraction into improper fraction.

Substitute this in the given expression.


To simplify the above expression, 21 and 60 are cancelled by 3.

Do cross multiplication to make the denominator same.



The value of the given expression is 
Answer: The required fourth term of the geometric sequence is 
Step-by-step explanation: We are given to find the value of the fourth term in a geometric sequence with first term and common ratio as follows :

We know that
the n-th term of a geometric sequence with first term a1 and common ratio r given by

Therefore, the fourth term of the given geometric sequence will be
Thus, the required fourth term of the geometric sequence is 
Answer:
10√2
Step-by-step explanation:
This is a 45-45-90 triangle which means that the two non-hyptonouse lenghts are the same which means that the bottom lenght of the triangle is also 10 units
We can then use a^2+b^2=c^2 to solve for the last side
so we have
10^2+10^2=x^2
200=x^2
sqrt200=x
and I see that they want an exact answer so you simplify sqrt200 to
10√2
Answer:
Step-by-step explanation:
This right triangle is on a grid.
The area is the height * base/2
The base is on a line segment parallel to the x axis which is 6 squares.
The height is on a line segment parallel to the y axis which is 2 squares
The area is the height * base /2
Area = 6 * 2 /2 = 12/2 = 6 square units.