The parabola will show the vertex in the format: y-k = (x-h)^2, where the vertex point
lies at (h, k).
let's first put it in "y =" standard format:
Since we cannot get a perfect square out of this, we complete the square: a=1, b=2, c=3
(b/2)^2 = (2/2)^2 = 1, so
So there's +2 leftover, since 3-1=2; so:
Now we'll subtract the 2 from both sides to show our vertex:
where our vertex (h, k) is at (-1, 2)
The answer is 24 as it's the smallest number given that is divisible by both 6 and 8.
Answer:
below
Step-by-step explanation:
The point N is at (-7, -8)
The point N’ is at (4, -4)
On the x-axis, -7 to 4 is a shift of 11 units to the right.
On the y-axis, -8 to -4 is a shift of 4 units upward.
To find the scale factor, we need to find the change in radius size.
As previously identified, the center of Circle N is (-7, -8). If we draw a vertical line from the center to the edge of the circle, the line will be 2 units long.
As previously identified, the center of Circle N’ is (-4, -4). If we draw a vertical line from the center to the edge of the circle, the line will be 6 units long.
6 is 3 times the amount of 2, meaning the scale factor is 3.
Hope this helps!
Answer:
8 more boys
Step-by-step explanation:
5 + 3 = 8
32 ÷ 8 = 4
5 × 4 = 20
3 × 4 = 12
20 - 12 = 8
Answer:
B, 215483cm^3
Step-by-step explanation:
volume of a cylinder equals its base area by its height;
.
its base area = r^2 x 3.14 = 15^2 x 3.14 = 706.5
.
volume = 706.5 x 305 = 215482.5 cm^3
.
approximately 215483 cm^3
