Answer:
333
Step-by-step explanation:
Answer:
The space between each value on the scale of a bar graph is called an interval. In other words, the interval is the relation between the units you're using, and their representation on the graph, or the distance between marks. You choose intervals based on the range of the values in the data set.^-^
Step-by-step explanation:
Hoped I Have Helped Have Nice Day "Peace"
Answer:
![(x+3)^2+(y+11)^2=121](https://tex.z-dn.net/?f=%28x%2B3%29%5E2%2B%28y%2B11%29%5E2%3D121)
Step-by-step explanation:
Consider a sketch of the problem as shown in the picture, where:
- Blue line is given by y = 4x + 1.
- Point B is the center of the circle.
- Point A is (-3, 0).
Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.
So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.
Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
then with h = -3, k = -11 and r= 11, the equation of our circle is
![(x+3)^2+(y+11)^2=121](https://tex.z-dn.net/?f=%28x%2B3%29%5E2%2B%28y%2B11%29%5E2%3D121)
If parent functin is f(x)=|x|
it is moved to the left 2 units
vertically streched by a factor of 3
and moved up by 4 units in that order
because
to move a function to left c units, add c to every x
to vertically strech function by factor of c, multiply whole function by c
to move funciotn up c units, add c to whole function
so it is 2 to the left, verteically streched by a factor of 3 then moved up 4 units