Answer:2x+28 100% right
Step-by-step explanation:
<h3>
Answer: Choice A) <9,0></h3>
Explanation:
Focus on one of the points in the figure on the left. Let's say we go for the upper left corner point (-7, 4)
Notice it moves to the corresponding image point (2,4). It has shifted 9 units to the right to follow the translation rule
. We've added 9 to the x coordinate, and the y coordinate stays the same.
This notation can be shortened to <9, 0>
In general, the notation
is shortened to the translation vector notation
. In this case, a = 9 and b = 0.
Answer:
Center: (-5,10)
Radius: 2
Step-by-step explanation:
The equation of the circle in center-radius form is:

Where the point (h,k) is the center of the circle and "r" is the radius.
Subtract 121 from both sides of the equation:

Add 10x to both sides:

Make two groups for variable "x" and variable "y":

Complete the square:
Add
inside the parentheses of "x".
Add
inside the parentheses of "y".
Add
and
to the right side of the equation.
Then:

Rewriting, you get that the equation of the circle in center-radius form is:

You can observe that the radius of the circle is:

And the center is:

Answer:
x=15
Step-by-step explanation:
2x=15+x
2x-x=15
x=15