Answer:
No solution.
Step-by-step explanation:
Given
Required
Find all possible solutions
If , then the triangle is right-angled and the hypotenuse is at b
Given that
This implies that a > b
In a right-angled triangle, the hypotenuse (side b) is the longest.
Since this is not true for the given sides, then the triangle has no solution.
Given:
The first two terms in an arithmetic progression are -2 and 5.
The last term in the progression is the only number in the progression that is greater than 200.
To find:
The sum of all the terms in the progression.
Solution:
We have,
First term :
Common difference :
nth term of an A.P. is
where, a is first term and d is common difference.
According to the equation, .
Divide both sides by 7.
Add 1 on both sides.
So, least possible integer value is 30. It means, A.P. has 30 term.
Sum of n terms of an A.P. is
Substituting n=30, a=-2 and d=7, we get
Therefore, the sum of all the terms in the progression is 2985.
Answer:
8by + 2ax - 4bx - 4ay
Step-by-step explanation:
I assume you mean expand so:
(a - 2b)(3x - 5y) + (2b - a)(x - y)
3ax - 5ay - 6bx + 10by + 2bx - 2by - ax + ay
Now collect like terms:
2ax - 4ay - 4bx + 8by
This is your answer but in a better order:
8by + 2ax - 4bx - 4ay
Answer:
m=9
Step-by-step explanation:
11-9m=-70
-11 -11
-9m = -81
divide both sides by -9 and you get m=9