Answer:
Step-by-step explanation:
First we have to find the coordinates of the original ordered pairs then we will do the translation.
Now we will add 3 to every x value and add a -2 to every y value.
When you do that you will get the new prime points.
Answer:
Step-by-step explanation:
The directrix y=-6 is parallel to the x axes, so parabola has equation of the form
where is the vertex of parabola and p is parabola's parameter.
By the definition, is the distance from the vertex to the directrix, so
Hence, the equation of parabola is
See attached diagram for the graph of parabola and its directrix.
In vertex form this equation is
Answer:
x = 5
Step-by-step explanation:
For better explanation of the solution, see the attached diagram of the problem :
The triangle angle bisector theorem states that the line which bisects an angle of a triangle divides the opposite two sides of the triangle in two equal segment which are proportional to the other two sides of the triangle.
Now, from the diagram : AD is the angle bisector angle B
On Cross multiplication :
⇒ 9 × 3x = 15 × (2x - 1)
Using the distributive property,
⇒ 27x = 15×2x - 15×1
⇒ 27x = 30x - 15
Subtract 30x from each side:
⇒ 27x - 30x = 30x - 15 - 30x
⇒ -3x = -15
⇒ x = 5
