Answer:
I would say that by the 20th figure, there would be more than 400 small triangles by the 20th figure.
Step-by-step explanation:
Based on figure 1 and 2, I'm guessing the ratio is 2.
Figure 4: 32
Figure 5: 64
Figure 6: 128
Figure 7: 256
Figure 8: 512
Figure 9: 1,024
Answer:
a=1/2
Step-by-step explanation:
To find the equation of a line knowing two points it passes through, we must first find the slope and then substitute the x and y values to figure out the y intercept.
First thing is to find the slope using the formula m = Δy ÷ Δx
m = 5 - (-2) ÷ 4 - (-5)
Now we simplify
m = 7 ÷ 9
Our equation so far is y = 7/9x + b. Now we can substitute the values of x and y from a point to figure out the answer. The equation here uses the point (4,5)
5 = 7/9 · 4 + b
Get b on one side
5 - 28/9 = b
Simplify
b = 1 + 8/9
That makes the equation of the line y = 7/9x + (1 + 8/9)
The scale factor of DEFG to PQRS is: 3/8.
<h3>What is a Scale Factor?</h3>
- A scale factor of a dilation is the number by which the size of an original figure is changed to a new figure.
- Scale factor is ratio of corresponding side of new figure to original figure.
Thus:
DE corresponds to PQ.
PQRS is the new figure.
DE = 8; PQ = 3
Scale factor of DEFG to PQRS = PQ/DE
Scale factor = 3/8.
Thus, the scale factor of DEFG to PQRS is: 3/8.
Learn more about scale factor on:
brainly.com/question/2826496
Answer:
2x^3+11x^2-43x-24
Step-by-step explanation:
desmos graphing calculator- both factors matched
