Answer:
The answer to your question is:th first option is correct.
Step-by-step explanation:
Here we have and hyperbola with center (0, 1), and the hyperbola is horizontal because x² is positive.
Equation
y - k = ±
Process
Find a, b
a² = 9
a = 3
b² = 5
b = √5
h = 0 and k = 1
Substitution
y - 1 = ±
Equation 1
y = 
Equation 2
y = -
Answer:
Step-by-step explanation:
The direction of movement of Jordan on his birthday forms a right angle triangle. His movement from his house to his parents due south represents the opposite side of the right angle triangle. His movement due west represents the adjacent side and the movement back home along the straight line, d represents the hypotenuse. To determine d, we would apply the Pythagorean theorem. Thus
d² = 6² + 4² = 52
d = √52 = 7.2 km
The total distance that he drove on his birthday is
6 + 4 + 7.2 = 17.2 km
Answer:
$7.52 = 7 dollars and 52 cents.
Step-by-step explanation:
Given that three pounds of coffee = $22.56
1 pound of coffee = $22.56/3
Thus, we would have:
.
A pound of coffee = $7.52
$7.52 = 7 dollars and 52 cents.
Answer:
8. 14 for the third question.
9. 18 for the forth question.
Step-by-step explanation:
the third and forth orange equations.
The total area of pool and border = 361 square feet.
Length of square pool = x
Length of square pool plus border = (x + 1 +1 ) = x + 2
There is 1 foot length on each side on the x length.
The other length of the square pool and border = (x + 2)
Area = (x+2)(x+2)
(x + 2)(x +2) = 361. Let A = x +2
A*A = 361
A² = 361 Take square root of both sides
A = √361
A = 19
A = x + 2 = 19
x = 19 - 2
x = 17
Area of square pool = x*x = 17*17 = 289
Area of the pool = 289 square feet.