Answer:
A
Step-by-step explanation:
observe
x² + 12x + y² + 10y = –45
add 36 + 25 on both side
x² + 12x + 36 + y² + 10y + 25 = –45 + 36 + 25 = 16
(x + 6)² + (y + 5)² = 16
Answer:
x = 3; y = 6; z =4
Step-by-step explanation:
The point J is the circumcentre of the triangle.
It is equidistant from the vertices. So
2x + 2 = 8
2x = 6
x = 3
2y - 4 = 8
2y = 12
y = 6
If FI = 9, HI = 9. Then,
3z - 3 = 9
3z = 12
z = 4
So, x = 3; y = 6; z =4.
Answer:
a. 9.75
b.3/2
c.y=3/2x
Step-by-step explanation:
Answer:
5yrs or 1825 days
Step-by-step explanation:
Given the total amount of the investment after n-days at 9% is $2,320 and the principal amount invested is $1,600
-Let P be the principal amount, A be the total amount of the investment.
-We calculate the number of days using simple interest formula.
#Calculate the total interest earned on the investment:

Simple interest is calculated using the formula:

Hence, it takes 1,825 days to achieve your investment goals
For the expression to be factor-able the Discriminant , has to be greater or equal to zero
ax^2 + cx + b = 0
c^2 - 4 ab >= 0
(-3)^2 - 4 * 1 * b >= 0
9 - 4b >= 0
9 >= 4b
b <= 9/4 (2.25)
Pick any value in that range for ex:
0 , 2, -3, -6