Answer:
B.) 
Step-by-step explanation:

A negative and a negative equals a positive. Remove parentheses and simplify

Done.
Answer:
15.25 is your answer
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Given the quadratic
d = - 16t² + 12t ← subtract d from both sides
- 16t² + 12t - d = 0 ← in standard form
with a = - 16, b = 12, c = - d
Use the quadratic formula to solve for t
t = ( - 12 ±
) / - 32
= ( - 12 ±
) / - 32
= ( - 12 ±
) / - 32
= ( - 12 ± 4
) / - 32
=
± 

=
± 

=
±
→ D
Answer:
Option C
Step-by-step explanation:
we have

step 1
Group terms that contain the same variable, and move the constant to the opposite side of the equation

step 2
Factor -6 leading coefficient'

step 3
Complete the square
Remember to balance the equation by adding the same constants to each side


step 4
Rewrite as perfect squares

simplify

Answer:
Step-by-step explanation:
Answer:
Data
Equation 25x² + 64y² = 1600
Process
1.- Divide all the equation by 1600
25x²/1600 + 64y²/ 1600 = 1600/1600
-Simplify
x²/64 + y²/ 25 = 1
2.- Equation of a horizontal ellipse
3.- Find a, b and c
a² = 64 a = 8
b² = 25 b = 5
-Calculate c with the Pythagorean theorem
a² = b² + c²
-Solve for c
c² = a² - b²
-Substitution
c² = 8² - 5²
-Simplification
c² = 64 - 25
c² = 39
-Result
c = √13
4.- Find the center
C = (0, 0)
5.- Find the vertices
V1 = (-8, 0) V2 = (8, 0)
6.- Find the foci
F1 = (-√13, 0) F2 = (√13, 0)