Answer:
A and D
Step-by-step explanation:
Let's find the slope of the functions in all tables.
A. -1/2
B. -1/2
C. -1/2
D. 1
E. -1/2
Option D. is out since it has a different slope.
The answer has to be two tables out of A, B, C, and E.
Start with Table A.
As x goes from 8 to 6, y goes up by 1.
We can create points for x = 0 and x = 2
x = 2, y = 9
x = 8, y = 6
This is exactly table D.
Answer: Tables A and D
Answer:
The image of the point is (-27, 6)
Step-by-step explanation:
<em>Let us talk about the dilation</em>
- Dilation is a transformation that changes the size of a figure. It can become larger or smaller, but the shape of the figure does not change.
- The scale factor of dilation measures how much larger or smaller the image will be. If the scale factor greater than 1, then the image will be larger. If the scale factor between 0 and 1, then the image will be smaller
- If the point (x, y) is dilated by scale factor k and the center of dilation is the origin, then its image will be (kx, ky)
∵ Point (-9, 2) is dilated by a scale factor 3
∴ k = 3
∵ The center of dilation is the origin
→ Multiply the coordinates of the point by 3 to find the image
∴ The image = (3 × -9, 3 × 2)
∴ The image = (-27, 6)
The image of the point is (-27, 6)
F(x)=(2/3)x^1.5
The centroid position along the x-axis can be obtained by
integrating the function * x to get the moment about the y-axis,
then divide by the area of the graph,
all between x=0 to x=3.5m.
Expressed mathematically,
x_bar=(∫f(x)*x dx )/(∫ f(x) dx limits are between x=0 and x=3.5m
=15.278 m^3 / 6.1113 m^2
=2.500 m
C= 2 (pi) r
We are given the radius r=25m
Also pi=3.14
Thus just plug and solve
The theoretical probability is how many times it SHOULD land on heads. Since there is two sides, the theoretical l probability says it should land on heads 10 times out of 20 or 1/2. The experimental probability can vary, it is how many times it ACTUALLY lands on heads when you test it. In this case it landed on heads 4 times out of 20 or 1/5 of the time. For this problem, the experimental probability is less than the theoretical probability.<span />