Initial:

Changed to:

As you can see the change is: from -1 to +6.
In a equation as follow:

The k is a transformation that moves up or down the graph of the function. If k is changed to a less value the graph moves down, If k is changed to a greather number the graph moves up.
In this case the graph moves up
To find the number of units the graph moves find the difference betwwen values of k:

Then, the parabola y=x²-1 is moved 7 units up when it is changed to y=x²+6
Answer:
The number is 12.
Step-by-step explanation:
Given: 
We need to find a number multiply to each term to get rid of fraction.
We will find LCD of denominator.
First we see the numbers at denominator
Denominators are 4,3,2
Now, we will find the LCD of 2,3, and 4
Factor of 2: 2x1
Factor of 3: 3x1
Factor of 4: 2x2x1
LCD = 2x2x3 = 12
If we multiply by 12 to each term to eliminate the fraction.
Simplest equation:


Hence, The number is 12.
Answer:
x=43 (being vertically opposite angles
Step-by-step explanation:
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Step 1
Find the length of MD
we know that
The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle
so
In this problem
------> is the radius of a circle inscribed inside the triangle
we have that

therefore


Step 2
Find the length of DC
we know that
In the right triangle MDC
Applying the Pythagoras theorem

we have


substitute




Answer:
Step-by-step explanation:
