Determine the coordinates of the center of the circle defined by the equation $x^2 + y^2 + 4x - 6y - 12 = 0$.
Determine the coordinates of the center of the circle defined by the equation $x^2 + y^2 + 4x - 6y - 12 = 0$.
Determine the coordinates of the center of the circle defined by the equation $x^2 + y^2 + 4x - 6y - 12 = 0$.
An altar for ancient rituals is in the form of a cube of edge 1.5 m. If you double the size of the cube, what will be the dimension of its edges?
How many three-digit even numbers can be made out from the digits 1, 2, 3, 4, 5, 6, and 7 if repetition of digit is not allowed?
A Ferris wheel, 9 m in radius, is rotating such that the riders will experience zero gravity at the topmost part of the wheel. How many revolutions it made in every minute?
Three adjacent faces of a rectangular parallelepiped measures 8 square inches, 10 square inches, and 20 square inches, respectively. Find its volume.
the numbers are odd and repetition of digit is not allowed.
repetition of digit is not allowed.
Given the digits 0, 1, 2, 3, 4, and 5. How many 3-digit numbers can be made from the given digits if...
A line on the xy-plane has an equation 5x + 12y = 60. A uv-plane of the same origin has its u-axis rotated at an angle of +arctan (4/3) from the x-axis.
following is a set of notes of the earthwork of a road embankment.
Sta 5 + 040 | ||
$\dfrac{12}{-3}$ | $-5$ | $\dfrac{24}{-9}$ |
Sta 5 + 140 | ||
$\dfrac{15}{-4.5}$ | $-7$ | $\dfrac{30}{-12}$ |
If the width of roadway is 12 m and the side slope is 2:1...