Answer:
Your answer would be 
.
Step-by-step explanation:
The formula for the equation of a circle is 
, where (h, k) is the center of the circle, and r is the radius. Since the center is (-1, 3), the left half of the equation is 
. Now, all we have to do now is find the radius, r. To do that, you can use the distance formula to find the distance between the center (-1, 3) and a point that passes through the circle, or is on the circumference, (-4, -2). When you calculate that, you will get 
, so the radius is 
. But, we want the radius squared, which is 34. So, the final answer is what I wrote above.
Hope that helped! :)
The slope of the line that passes through the points, (3, 4) and (-4, -5) is: A. 9/7.
<h3>How to Determine the Slope of a Line?</h3>
The slope of a line can be calculated by using the slope formula, which is given as:
Slope (m) = change in y / change in x or rise / run.
Given that the following points lie on a line:
The slope of the line would be solved using the slope formula as explained below:
Slope (m) = change in y / change in x = (-5 - 4) / (-4 - 3)
m = -9 / -7
Slope (m) = 9/7.
Therefore, the slope is identified as:
a. 9/7.
Learn more about the slope of a line on:
brainly.com/question/28172698
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Answer:
<em>number = 0.011</em>
Step-by-step explanation:
<u>Decimal Representation</u>
The model is shown in the figure. It has a form of a cube where each face is divided into 10 equal squares, forming a 10x10x10=1,000 smaller cubes piece.
Out of that 1,000 cubes, only 11 are shaded. This leaves us to think the decimal represented by the model is the division between the shaded cubes by the total cubes, thus:
Dividing:
number = 0.011
Using the Pythagorean theorem you would find X by taking the square root of the base squared (Y^2) subtracted from the hypotenuse squared ( 10^2 = 100)
The equation would be x = √100-y^2
The second answer is the correct one.
