Answer:
(x-7)² + (y+1)² = 4² or (x-7)² + (y+1)² =16
Step-by-step explanation:
1) coordinates of the center
x0=(x1+x2)/2=(7+7)/2=7
y0=(y1+y1)/2=(3-5)/2 = -1
(7, -1) - coordinates of the center
2) radius of the circle
length of the diameter =√((x2-x1)²+(y2-y1)²)=√((7-7)²+(-5-3)²)=√(8)²= 8
r = length of the radius = length of the diameter / 2 = 8/2 = 4
3) the equation of the circle
(x-x0)² + (y-y0)²= r²
(x-7)² + (y+1)² = 4²=16
Answer:
The interest rate of Jess's account was 7%
Step-by-step explanation:
A = P * (1 + rt)
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
Replacing with the values we know:
A = P * (1 + rt)
8,150 = 5,000 * (1 + r * 9)
8,150/5,000 = 1 + 9r
1.63 = 1 + 9r
1.63 - 1 = 9r
0.63 = 9r
r = 063/9
r = 0.07 = 7%
The interest rate of Jess's account was 7%
Answer:
You would have 32% of alcohol and still have 100L of a solution.Because i took the test.
Step-by-step explanation:
12%+5%+15%=
17%+15%=
32%
Answer:
Step-by-step explanation:
so first you need to make a equation
since we are trying to find out the amount of rides we can make that stand for x so..
we can first write it as 2.50x
(x = the numbers of rides)
since the entree fee is 17 dollars but they are two kids we have to times 17 by 2 giving us 34 we can add 34 dollars to the equation
34 + 2.50x
alex and kendra have only $51.50 dollars and they cant spend more then that so that means the whole equation has to equal $51.50
34 + 2.50x = 51.50
since we are trying to find the number of rides we can subtract 34 on both sides giving us
2.50x = 51.50 - 34
2.50x = 17.50
then we solve for x which you can divde 2.50 on both sides
x = 17.50 /2.50
x = 7
