Answer:
x =
± 
Step-by-step explanation:
Given
x² - 7x + 9 = 0 ( subtract 9 from both sides )
x² - 7x = - 9
Solve using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2( -
)x +
= - 9 +
(x -
)² =
( take the square root of both sides )
x -
= ±
= ±
( add
x =
±
= 
Answer:
The answer to your question is below
Step-by-step explanation:
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)
You will take 140 times 5 since that is the amount she made so you times it buy the price she earns then after you do that subtract it buy 650 since that is what you have to pay
140 x 5 = 700
700 - 650 = 50
so she made a profit of 50
Answer:
$15.70/hr
Step-by-step explanation:
The unit rate (amount earned per hour) is calculated as follows:
$102.05
------------- = $15.70/hr
6.5 hrs
Answer:
If
and
, then 
Step-by-step explanation:
This is a problem that utilizes both substitution and the order of operations.
