The center of the circle is the x and y in the equation.
To find the center you need to solve for x and Y when the equations inside parenthesis are set to zero.
(x-6)=0
x = 6
(y+3)=0
y = -3
The center of the circle is (6,-3)
Answer:
B.
Step-by-step explanation:
Consider triangle XYZ with vertices at points X(1,-3), Y(3,0) and Z(-1,-1). If triangle XYZ is reflected across the line y = 1, then the rule of reflection is
(x,y)→(x,-y+2).
The image X' of point X will have coordinates according to the given rule:
X(1,-3)→X'(1, -(-3)+2)=X'(1,5).
Answer: correct choice is D.
Answer:
$9,347.62
Step-by-step explanation:
<u>Compound Interest Formula</u>
where:
- A = final amount
- P = principal amount
- r = interest rate (in decimal form)
- n = number of times interest applied per time period
- t = number of time periods elapsed
Given:
- P = $6,500
- r = 3.7% = 0.037
- n = 1
- t = 10 years
Substituting the given values into the formula and solving for A:
Therefore, the value of account after 10 years is $9,347.62
Complete question is:
Nancy is checking to determine if the expressions x+4+x and 6+2x-2 are equivalent. When x=3 , she correctly finds that both expressions have a value of 10. When x = 5, she correctly evaluates the first expression to find that x + 4 + x = 14. What about the second expression?
Answer:
when x = 5; both expressions are equivalent and equal to 14
Step-by-step explanation:
We are told the expressions are:
(x + 4 + x) and (6 + 2x - 2).
We are also told that when x = 3,both expressions are equal and have a value of 10 each.
Now, when x = 5; we are told the expression (x + 4 + x) has a value of 14.
So when x = 5,let's find the value of the second expression by putting 5 for x in (6 + 2x - 2);
So, we have; 6 + 2(5) - 2 = 6 + 10 - 2 = 14
So when x = 5; both expressions are equivalent and equal to 14