Answer:
height = 5 ft
Step-by-step explanation:
The height will divide the base of the triangle in two parts of 3 ft, making two smaller right triangles.
Then, to find the height, we can use the Pythagoras' theorem in one of these triangles:
6^2 = 3^2 + height^2
36 = 9 - height^2
height^2 = 27
height = 5.19 ft
Rounding to the nearest foot, we have height = 5 ft
Clear out any fractions by Multiplying every term by the bottom parts.
Add or Subtract the same value from both sides.
Divide every term by the same nonzero value.
Combine Like Terms.
Factoring.
Expanding (the opposite of factoring) may also help.
Can you repost with the full question?
Answer:
The roots of equations are as m =
And n =
Step-by-step explanation:
The given quadratic equation is 2 x² + 6 x - 1 = 0
This equation is in form of a x² + b x + c = 0
Let the roots of the equation are ( m , n )
Now , sum of roots = 
And products of roots = 
So, m + n =
= - 3
And m × n = 
Or, (m - n)² = (m + n)² - 4mn
Or, (m - n)² = (-3)² - 4 (
)
Or, (m - n)² = 9 + 2 = 11
I.e m - n = 
Again m + n = - 3 And m - n = 
Solving this two equation
(m + n) + ( m - n) = - 3 + 
I.e 2 m = - 3 + 
Or, m = 
Similarly n =
Hence the roots of equations are as m =
And n =
Answer