The equation of a circle is written as (x-h)^2 +(y-k)^2 = r^2
h is the x value of the center and k is the y value of the center and r is the radius.
Replace h, k and r with the given information:
(x- -7)^2 + (y - -6)^2 = 4^2
Simplify:
(x+7)^2 + (y+6)^2 = 16
Option C:
The solution of inequality 2x + y < 10 is (5, –3).
Solution:
Given inequality is 2x + y < 10.
Lets substitute the given points in the inequality and find the solution.
Option A: (6, –1)
2(6) + (–1) < 10
12 – 1 < 10
11 < 10
This is false because 11 > 10.
Therefore (6, –1) is not the solution of the inequality.
Option B: (1, 10)
2(1) + (10) < 10
2 + 10 < 10
12 < 10
This is false because 12 > 10.
Therefore (1, 10) is not the solution of the inequality.
Option C: (5, –3)
2(5) + (–3) < 10
10 – 3 < 10
7 < 10
This is true.
Therefore (5, –3) is the solution of the inequality.
Option D: (5, 5)
2(5) + (5) < 10
10 + 5 < 10
15 < 10
This is false because 15 > 10.
Therefore (5, 5) is not the solution of the inequality.
Hence Option C is the correct answer.
The solution of inequality 2x + y < 10 is (5, –3).
Hello!
Rate of income tax = Tax paid / Monthly income
⇒ Rate = 8,000 / 40,000
⇒ Rate = 0.2
⇒ Rate = 20%
∴ The rate of income tax is 20%.
Answer:
x= 5√7
Step-by-step explanation:
Use the Pythagorean theorem
16^2= 9^2 + x^2
x^2=175
x= √175
x= 5√7
