Answer:
Option C
Step-by-step explanation:
The standard form of equation of a cirle is:
(x-h)^2+ (y-k)^2=r^2
In the given question as the point is given and the radius of circle is given:
So,
(h,k)=(2,-1)
and
r=3
Here,
h=2
k= -1
Putting the values of h,k and r in standard form
(x-2)^2+ (y-(-1))^2=(3)^2
(x-2)^2+ (y+1)^2=(3)^2
So the equation of circle is:
(x-2)^2+ (y+1)^2=9(3)^2
Option C is the correct answer ..
Answer:
$306
Step-by-step explanation:
First you make it into fractions. 1/300 = 2/100
The 2 in the fraction represents the tax rate over 100
The 300 represents the microscope price.
Now multiply the 300 and 2 and 1 and 100
300 x 2 & 1 x 100
600 & 100
Now divide these two
Now you have 6
The 6 is the tax
So now add 300 + 6
$306
Additive inverse: In math the additive inverse of "a" is the number when added to "a" should give zero (a) + (-a) = 0
So the sum of a number and its additive inverse is always equal to zero
Answer:
k = 4
Step-by-step explanation:
In order for the claim to be true, (x-3) must be a factor of each of the terms in the first expression. That is, you must have that expression factor as ...
(x -3)(2x +5) +(x -3)(x +7)
Factoring out (x -3), we get ...
= (x -3)(2x +5 +x +7) = (x -3)(3x +12)
= 3(x -3)(x +4)
The value of k must be 4.