Answer:
(x+2)² + (y-3)² = 26
The graphic is showed below
Step-by-step explanation:
The circle equation is given by the expression:
(x-a)² +(y-b)² = r²
The point (a,b) represents the center, and r is the radius. So:
(x+2)² + (y-3)² = r²
If the point A (3,2) is on the circle, then we can replace it in the equation to find r:
(3+2)² + (2-3)² = r²
r² = 5² + (-1)²
r² = 25 + 1
r² = 26
So, the circle has radius r = √26, and the equation is:
(x+2)² + (y-3)² = 26
To graph it, we must put the center C(-2,3), then the radius r = √26 and form a circle, like the figure below.
Answer:
D
Step-by-step explanation:
To find this, we need to find the points that are the steepest (or have larger slope). We have the points (2, 3), (4, 11), and (6, 23). The line that has (2, 3) and (4, 11) has a slope of 4, and the line with (4, 11) and (6, 23) has a slope of 6. Therefore the answer is D.
Note: Simple eyeballing will do the trick too!
Answer:
X=8
Step-by-step explanation:
Since it has a tangent and a radius you could use the Pythagorean Theorem to find your x. This is what it would look like:
Answer:
x=4.8
This here you use Pythagorean Theorem.
Step-by-step explanation:
a^2+b^2=c^2
The longest side is c. And the two legs are a and b.
So it'd be 11^2+x^2=12^2
121+x^2=144
Subtract 121 from both sides.
x^2=23
Then take the √ of x^2 and 23
So √x^2=√23
x=4.8
Hope this helps