Answer: Option (B) is the correct answer.
Step-by-step explanation:
A point at which three altitudes of a triangle meet is known as orthocenter.
Whereas when a circle is inscribed in a triangle and it touches all the sides of a triangle then the center of circle is known as incenter.
When all the three medians of a triangle intersect each other then the point is known as centroid.
Circumcenter is a point where perpendicular bisectors on each side of a triangle bisect and this point is equidistant from all the vertices.
Answer:
Step-by-step explanation:
The standard equation of a hyperbola is given by:
where (h, k) is the center, the vertex is at (h ± a, k), the foci is at (h ± c, k) and c² = a² + b²
Since the hyperbola is centered at the origin, hence (h, k) = (0, 0)
The vertices is (h ± a, k) = (±√61, 0). Therefore a = √61
The foci is (h ± c, k) = (±√98, 0). Therefore c = √98
Hence:
c² = a² + b²
(√98)² = (√61)² + b²
98 = 61 + b²
b² = 37
b = √37
Hence the equation of the hyperbola is:
Answer:
2 5/8 - 6 1/4 + 8 1/2\
=
227
/8
Step-by-step explanation:
hope this helps :)
Answer:
5. (x, y) ⇒ (x +5, y +1)
6. (x, y) ⇒ (x +4, y -1)
Step-by-step explanation:
A translation rule will generally have the form ...
(x, y) ⇒ (x +h, y +k)
where (h, k) is the horizontal and vertical distance to the right and up that the figure is being translated.d
5) The image is 5 units right and 1 unit up from the original, so in the above formula, (h, k) = (5, 1) and the translation rule is ...
(x, y) ⇒ (x +5, y +1)
__
6) The image is 4 units right and 1 unit down from the original, so (h, k) = (4, -1) and the transformation rule is ...
(x, y) ⇒ (x +4, y -1)
