You need to ask the question not a bit of dialogue xx
If you have a table that tells you the (x,y) or coordinates on a graph you can take those coordinates and insert them into the equation y=mx=b. this is the equation to find the slope of a line. If you solve for b in the equation you will have the y intercept. the mx would be the slope.
<h3><u>
The value of x is equal to 21.</u></h3>
13 = 5 + 2(x - 17)
<em><u>Distributive property.</u></em>
13 = 5 + 2x - 34
<em><u>Add 34 to both sides.</u></em>
47 = 5 + 2x
<em><u>Subtract 5 from both sides.</u></em>
42 = 2x
<em><u>Divide both sides by 2.</u></em>
x = 21
<span>The equation of a circle with center C=(h,k) and radius r is:
(x-h)^2+(y-k)^2=r^2
In this case the center is the point C=(a,b)=(h,k)→h=a, k=b, then:
(x-a)^2+(y-b)^2=r^2
We can apply the Pythagorean Theorem to find the distance between any point of the circle P=(x,y) and the Center C=(a,b). This distance must be equal to the radius of the circle:
A^2+B^2=C^2, where A and B are the legs of the triangle and C is the hypothenuse.
In this case, according with the figure: The legs of the triangle are:
A=x-a
B=y-b
And the hypothnuse C=r
Then replacing in the Pythagorean Theorem:
(x-a)^2+(y-b)^2=r^2
Equal to the equation of the circle </span>(x-a)^2+(y-b)^2=r^2
Pythagoras: a^2+b^2=c^2
a=b=2
2^2+2^2=c^2
4+4=c^2
8=c^2
√8=c
√(4*2)=c
2*√2=c=x
so it's the third option
