Answer:
Option B is the correct answer
Step-by-step explanation:
Center of the circle lie on point (-1, - 3) = (h, k)
![\implies \: h = - 1 \: \: k = - 3 \\radius \: r \: = 2 \\ equation \: of \: circle \: in \: standard \: form \: \\ is \: given \: as : \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ {(x + 1)}^{2} + {(y + 3)}^{2} = {2}^{2} \\ \purple{ \boxed{ \bold{ {(x + 1)}^{2} + {(y + 3)}^{2} = 4}}}](https://tex.z-dn.net/?f=%20%5Cimplies%20%5C%3A%20h%20%3D%20%20-%201%20%5C%3A%20%20%5C%3A%20k%20%3D%20%20-%203%20%5C%5Cradius%20%5C%3A%20r%20%5C%3A%20%20%3D%202%20%20%5C%5C%20equation%20%5C%3A%20of%20%5C%3A%20circle%20%5C%3A%20in%20%5C%3A%20standard%20%5C%3A%20form%20%5C%3A%20%20%5C%5C%20is%20%5C%3A%20given%20%5C%3A%20as%20%3A%20%20%5C%5C%20%20%7B%28x%20-%20h%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20-%20k%29%7D%5E%7B2%7D%20%20%3D%20%20%7Br%7D%5E%7B2%7D%20%20%5C%5C%20%20%7B%28x%20%20%2B%20%201%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20%20%2B%20%203%29%7D%5E%7B2%7D%20%20%3D%20%20%7B2%7D%5E%7B2%7D%20%20%5C%5C%20%20%5Cpurple%7B%20%5Cboxed%7B%20%5Cbold%7B%20%7B%28x%20%20%2B%20%201%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20%20%2B%203%29%7D%5E%7B2%7D%20%20%3D%204%7D%7D%7D)
Answer:15
Step-by-step explanation:
If 85% pass then 15% failed and 15% of 1,200 is 180 so 180 people failed.
Answer:
C
Step-by-step explanation:
Given
+ ![\left[\begin{array}{ccc}3&1\\-1&2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%261%5C%5C-1%262%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Add corresponding elements to obtain the sum, that is
= ![\left[\begin{array}{ccc}-2+3&3+1\\2-1&4+2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%2B3%263%2B1%5C%5C2-1%264%2B2%5C%5C%5Cend%7Barray%7D%5Cright%5D)
=
→ C
Answer:
Inequality:
120 + 0.05x ≥ 200
Solution:
x ≥ $1,600
Her total weekly sales must be equal to or greater than $1,600
Step-by-step explanation:
Let x represent the weekly sales she must make to reach her goal.
Given;
Pay rate = $8
Weekly total work hours = 15 hours
Commission on sales = 5% = 0.05
Total weekly earnings is;
8×15 + 0.05×x
120 + 0.05x
Minimum Weekly target earnings = $200
So;
120 + 0.05x ≥ 200
Solving the inequality equation;
0.05x ≥ 200 - 120
0.05x ≥ 80
x ≥ 80/0.05
x ≥ 1600
x ≥ $1,600
Her total weekly sales must be equal to or greater than $1,600