Step-by-step explanation:
b is the
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Answer:
(x + 1)² + (y − 3)² = 41
Step-by-step explanation:
The center of the circle is the midpoint of the diameter.
(h, k) = ((x₂ + x₁)/2, (y₂ + y₁)/2)
(h, k) = ((3 + -5)/2, (-2 + 8)/2)
(h, k) = (-1, 3)
The radius is half the length of the diameter.
r = ½ √((x₂ − x₁)² + (y₂ − y₁)²)
r = ½ √((3 − -5)² + (-2 − 8)²)
r = ½ √(8² + 10²)
r = √41
Therefore, the equation of the circle is:
(x − h)² + (y − k)² = r²
(x + 1)² + (y − 3)² = 41
Answer:
0,1.5
Step-by-step explanation:
y = 510 - 60x
We want to find the domain or the x values where x represents the time
We need to determine the possible values for x
Y cannot be greater than 510 or less than 0. 510 means they have not started the trip, and 0 means they have arrived
510 = 510 -60x
Subtract 510 from each side
510-510 = 60x
0 = 60x
The smallest value of x can be 0
0 = 510 - 60x
Subtract 510 from each side
-510 = 510-510-60x
-510=-60x
Divide by -60
-510/-60 = -60x/-60
8.5 = x
The maximum value of x is 8.5 hours
So x must be between 0 and 8.5 inclusive.
The taxi ride is an illustration of a linear proportional equation
The taxi ride was 13.25 miles
<h3>How to determine the number of miles</h3>
From the question, we have:
- Total cost = $39.75
- Cost per mile = $3.00
The number of miles (n) is the quotient of the total cost of the ride, and the cost per mile.
So, we have:
n = 39.75/3.00
Evaluate the quotient
n = 13.25
Hence, the ride was 13.25 miles
Read more about proportional equations at:
brainly.com/question/12242745
Answer:
c) -7/2
Step-by-step explanation:
14/-4= -3.5
