Answer:
The answer to your question is Center = (-3, 5) radius = 8
Step-by-step explanation:
Data
(x + 3)² + (y - 5)² = 64
Process
Because of the characteristics of the equation, we conclude that it is a circle.
Standard form of a circle:
(x - h)² + (y - k)² = r²
In this form of the equation, the center has coordinates (h, k), just change the signs.
And to get the radius, just get the square root of r²
h = -3
k = 5
r = 8
Center = (-3, 5)
radius = 8
Answer:
a
Step-by-step explanation:
since 90 degrees is 1/4 of a circle, the area of the sector is 5²pi/4 = 25/4pi = 19.63
Answer:
• The function is a linear function
• The function changes at a constant rate
Step-by-step explanation:
A graph of the function shows it to be a straight line (linear function). Such a function always changes at a constant rate. The line goes downward to the right, so the function is a decreasing function.
___
"changes at a constant rate" and "linear function" are two different ways of saying the same thing: the graph of the function is a straight line.
Answer:63
Step-by-step explanation:
The amount of money that Carly would have left if she doesn't buy any packs of baseball cards is $20.
<h3>How to calculate the amount of money?</h3>
In order to calculate the amount of money that Carly would have left if she doesn't buy any packs of baseball cards, we would determine the cost of each baseball card as follows:
- Let the cost of each baseball card be x.
- Let the number of cards bought be n.
Translating the word problem into an algebraic expression, we have;
x - n = 16
x - 2n = 12
Solving the simultaneous equations by elimination, we have:
n = 4
Therefore, Carly's minimum balance is given by:
x - n = 16
x = 16 + n
x = 16 + 4
x = $20.
Read more on word problems here: brainly.com/question/13170908
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<u>Complete Question:</u>
The graph shows the relationship between the total amount of money that Carly will have left, y, if she buys x packs of baseball cards. How much money will she have if she doesn't buy any packs of baseball cards?