Okay all you have to do is complete the square of the x and y's
so divide the coefficient of x by -2, then square it all and minus the square of the coefficient of x
hence (x-3)^2 - 9
then do the same for y
(y-4)^2 - 16
so (x+3)^2 + (y+4)^2 = 36
the radius is the root of the 36 so 6, and the centre is (-3,-4) because it's whatever would make the (x+3) or (y+4) equal to 0
Answer:
find the lcm (least common multiple) of the three denominators
The volume formula of a sphere is 4/3 Pi R^3
To figure this out, we must cube the radius (multiply 3 times).
2 x 2 x 2 = 8 (4 x 2).
Now we must multiply 8 by 3.14
8 x 3.14 = 25.12
Since we have gotten those out of the way, we now have to multiply 25.12 by 4/3.
4/3 x 25.12 = 33.51
33.5 in ^3 is your answer since we used volume.
Hope this helps!
Given points A(−2,0), B(−5,3), C(−9,−1), P(7,6), Q(4,0), and R(−4,4), which of the following proves that △ABC~△PQR?
UNO [17]
Based on the SSS similarity theorem, △ABC ~ △PQR because AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5 (option D).
<h3>The SSS Similarity Theorem</h3>
Two triangles having three pairs of sides that are proportional can be proven to be similar by the SSS similarity theorem.
If the triangle ABC and triangle PQR are similar, their corresponding sides will be proportional, meaning that: AB/PQ = BC/QR = CA/RP.
Therefore, using the distance formula, 
, the sides of each triangle is found.
Therefore, it shows that:
AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5
Therefore, based on the SSS similarity theorem, △ABC ~ △PQR because AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5 (option D).
Learn more about the SSS similarity theorem on:
brainly.com/question/4163594
