Answer:
The vertices are (-16,-5) and (14,-5)
The foci are (-26,-5) and (24,-5)
Please, see the attached file.
Thanks.
Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation = 
For real roots,

p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.
Subtract 9x from 23x yields 14x. This was done by subtracting algebraically the variables.
Answer:
The answer to your question is 55 ft
Step-by-step explanation:
Data
Person's height = 5 ft
Person's shadow = 10 ft
Tree's height = ?
Tree's shadow = 110 ft
- Use the Thales' theorem to solve this problem
Person's height / Person's shadow = Tree's height / Tree's shadow
- Substitution
5 / 10 = x / 110
-Solve for x
x = 5 (110) / 10
-Simplification
x = 550 / 10
-Result
x = 55 ft
-Conclusion
The tree is 55 ft height