Answer: 10 units
Step-by-step explanation:
Use the distance formula(√(x1-x2)^2+(y2-y1)^2)
![\sqrt{(6-2)^2+(0-(-3))^2} \\\\\sqrt{4^2+3^2}\\\\\sqrt{16+9}\\ \\\sqrt{25}\\ \\5](https://tex.z-dn.net/?f=%5Csqrt%7B%286-2%29%5E2%2B%280-%28-3%29%29%5E2%7D%20%5C%5C%5C%5C%5Csqrt%7B4%5E2%2B3%5E2%7D%5C%5C%5C%5C%5Csqrt%7B16%2B9%7D%5C%5C%20%5C%5C%5Csqrt%7B25%7D%5C%5C%20%5C%5C5)
Thus, the radius of the circle is 5. Because the diameter is 2r, the diameter = 2(5) = 10
Hope it helps <3
Answer:
7.975
Step-by-step explanation:
Answer:
B.a=b, c≠0
C.a=b, c=0
D.a-b=1, c≠1
Step-by-step explanation:
The equation given is c = ax - bx. We can factor the right-hand side to obtain an equivalent equation which is c = (a-b)x
Let’s explore each answer choice given. We are looking for cases where there is no one solution for the equation.
A
a-b = 1 so the right-hand side becomes 1x and we have x=c. Since c is 0 we have one solution that is x=0
B
a=b so a-b =0 and the equation becomes 0=c but the answer choice says c does not equal zero. So in this case there is no solution. This is a correct answer to the problem.
C
This is the same as choice B but since C =0 both sides of the equation equal zero. We get 0=0 but notice that this is true no matter what the value of x is so this equation is called identity and any value of x will do so there isn’t one solution but rather infinitely many. This is another right answer.
D
Here a-b=1 so we end up with x = c and since c doesn’t equal one any value of x except 1 is a solution so there isn’t one solution but infinitely many. This too is an answer to the question.
E
Since a doesn’t equal b and since c = 0 we have (a-b)x = 0 so. Either a-b is zero but since a and b are different this can’t be or x is zero. This there is one solution: x=0.
<em>From the above, the answer to the question is choices </em><em>B, C, and D</em>