The standard forrm equation of the circle is (x-h)² + (y-k)² = r²
where h,k : x,y-coordinate of the center
r : radius of the circle
Get the center of the circle : h = (x1 + x2)/2 = (9+5)/2 = 7
k = (y1 + y2)/2 = (4+2)/2 = 3
=> the center is (7,3)
Because the given information gave 2 endpoints so we can choose one of these, then use the distance formula to get the radius
r = √(x1 - h)² + (y1 - k)²
r = √(9 - 7)² + (4 - 3)²
r = √2² + 1²
r = √5
Finally, the equation of the circle is (x - 7)² + (y - 3)² = (√5)²
(x - 7)² + (y - 3)² = 5
Answer:
A. {-2, -1, 0, 3, 5}
Step-by-step explanation:
The domain is the set containing the x-coordinates of all the points of the function.
{(<u>-2</u>, 1), (<u>0</u>, 0), (<u>3</u>, -1) (<u>-1</u>, 7), (<u>5</u>, 7)}
Domain: {-2, -1, 0, 3, 5}
Answer:
36
Step-by-step explanation:
Square roots have a neat property: 
provided <em>a</em> and <em>b</em> are positive real numbers.
This property is what's behind simplifying square roots. You look for perfect square factors (4, 9, 16, 25, 36, ...) inside the square root sign.
Example: 
.
In this problem, both factors are perfect squares.
<u>Answer</u>
<h3>12 ) $1000</h3><h3 /><h3>13 ) Y-Intercept = 1000</h3><h3> Slope =
=
=
</h3><h3 /><h3>14 )
→
→
→
</h3><h3 /><h3>15 ) The meaning of the slope is the steepness of the line, in this graph, the meaning is 500 over 1.</h3><h3 />
<em>Hope this helps! <3</em>
<h2 />
