Answer:
The equation is (x + 1)^2 + (y + 2)^2 = 15
Center is at (-1, -2) and radius = √15
Step-by-step explanation:
2x^2 + 2y^2 + 4x + 8y - 20 = 0
Divide through by 2:-
x^2 + y^2 + 2x + 4y - 10 = 0
x^2 + 2x + y^2 + 4x = 10
Completing the square on the x and y terms:-
(x + 1)^2 - 1 + (y + 2)^2 - 4 = 10
(x + 1)^2 + (y + 2)^2 = 10 + 1 + 4
(x + 1)^2 + (y + 2)^2 = 15
Width-24 Length-29
Two sides of the rectangle are 5 cm bigger than the other two. So you would add the two 5 cm together (10cm). If you take the 10 cm off you (106-10) you will get a square. Then all you have to do is divide 96 by 4 (24), and add back on the two 5cm from the beginning to the length (29).
The answer is 6,811.1
The reason the 0 moved up to a 1 is because the number in the hundredth place was 5 or over. If it were 4 or under, then it would have remained a 0.
I need a picture of the problem or something at least
The reflection of BC over I is shown below.
<h3>
What is reflection?</h3>
- A reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is known as the reflection's axis (in dimension 2) or plane (in dimension 3).
- A figure's mirror image in the axis or plane of reflection is its image by reflection.
See the attached figure for a better explanation:
1. By the unique line postulate, you can draw only one line segment: BC
- Since only one line can be drawn between two distinct points.
2. Using the definition of reflection, reflect BC over l.
- To find the line segment which reflects BC over l, we will use the definition of reflection.
3. By the definition of reflection, C is the image of itself and A is the image of B.
- Definition of reflection says the figure about a line is transformed to form the mirror image.
- Now, the CD is the perpendicular bisector of AB so A and B are equidistant from D forming a mirror image of each other.
4. Since reflections preserve length, AC = BC
- In Reflection the figure is transformed to form a mirror image.
- Hence the length will be preserved in case of reflection.
Therefore, the reflection of BC over I is shown.
Know more about reflection here:
brainly.com/question/1908648
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The question you are looking for is here:
C is a point on the perpendicular bisector, l, of AB. Prove: AC = BC Use the drop-down menus to complete the proof. By the unique line postulate, you can draw only one segment, Using the definition of, reflect BC over l. By the definition of reflection, C is the image of itself and is the image of B. Since reflections preserve , AC = BC.