1) The solution for m² - 5m - 14 = 0 are x=7 and x=-2.
2)The solution for b² - 4b + 4 = 0 is x=2.
<u>Step-by-step explanation</u>:
The general form of quadratic equation is ax²+bx+c = 0
where
- a is the coefficient of x².
- b is the coefficient of x.
- c is the constant term.
<u>To find the roots :</u>
- Sum of the roots = b
- Product of the roots = c
1) The given quadratic equation is m² - 5m - 14 = 0.
From the above equation, it can be determined that b = -5 and c = -14
The roots are -7 and 2.
- Sum of the roots = -7+2 = -5
- Product of the roots = -7
2 = -14
The solution is given by (x-7) (x+2) = 0.
Therefore, the solutions are x=7 and x= -2.
2) The given quadratic equation is b² - 4b + 4 = 0.
From the above equation, it can be determined that b = -4 and c = 4
The roots are -2 and -2.
- Sum of the roots = -2-2 = -4
- Product of the roots = -2
-2 = 4
The solution is given by (x-2) (x-2) = 0.
Therefore, the solution is x=2.
Answer:
vertical angles and complementary
Answer:
Step-by-step explanation:
A coefficent is the number in front of the letter and a constant is just a number
Answer: 
Step-by-step explanation:
Given
String of the kite is 
Angle of elevation 
suppose altitude of the kite is h
from the figure, we can write

Thus, the altitude of the kite is 
Answer:
a line
Step-by-step explanation:
In geometry, we can define a line as a straight one- dimensional figure without thickness but extends infinitely in both directions.
If we are to put it into more understandable words, we can describe a line as the shortest distance between any two points.
A line has a specific definition in geometry. Every other option listed do not have specific definition in geometry.