Step-by-step explanation:
<u>Raise c to the 3rd power:</u>
<u>Triple the amount</u><u> </u><u>(</u><u>Multiply</u><u> </u><u>by</u><u> </u><u>3</u><u>)</u><u>:</u>
Answer:
B. x=1+2i or x=1-2i.
Step-by-step explanation:
The equation is given as;
x²-2x+5=0
complete the square method to find value of x as;
x²-2x = -5
x²-2x + 1 = -5 + 1
x²-2x +1 =-4
( x-1 )² = -4
x-1 = ±√-4 ---------<em>where √-1 = i</em>
x-1 =± 2i
So;
x-1 = + 2i
x= 1+2i
or
x= 1-2i
x= 1-2i
Answer: option d.
Step-by-step explanation:
Based on the information given in the problem, you know that:
You also know that:
Substitute values. Then, you obtain:
Apply square root to both sides. Therefore, you obtain:
Answer:
See attached image
Step-by-step explanation:
This equation for a parabola is given in vertex form, so it is very simple to extract the coordinates of its vertex, by using the opposite of the number that accompanies the variable "x" in the squared expression (opposite of 2) for the vertex's x-value, and the value of the constant (-6) for the vertex's y-value.
The vertex coordinates are therefore: (-2,-6)
The equation of the axis of symmetry of the parabola is a vertical line passing through the vertex. Since all vertical lines have the shape x = constant in our case, in order to pass through (-2,-6) the vertical line is defined by the equation: x = -2.
See image attached to find the vertex drawn as a red point, and the axis of symmetry as an orange vertical line passing through it.
Answer:
D
Step-by-step explanation:
Tangent of the circle is always perpendicular to the radius that is making a 90° angle