Y=3.1x+400 The x is how much it grows per week and the 400 is where it started at. the y is how tall it is after x weeks
Answer:
![\frac{-1}{\sqrt{17} }](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B%5Csqrt%7B17%7D%20%7D)
Step-by-step explanation
We have given that equation of line a+4b=0
⇒4b= -a
⇒![b= \frac{-a}{4}](https://tex.z-dn.net/?f=b%3D%20%5Cfrac%7B-a%7D%7B4%7D)
slope of line = ![tan\theta =\frac{P}{B}= \frac{-1}{4}](https://tex.z-dn.net/?f=tan%5Ctheta%20%3D%5Cfrac%7BP%7D%7BB%7D%3D%20%5Cfrac%7B-1%7D%7B4%7D)
⇒
is negative therefore it lies into 4th quadrant
By, Pythagoras theorem ![H^2=P^2+B^2](https://tex.z-dn.net/?f=H%5E2%3DP%5E2%2BB%5E2)
by putting value of P= -1 & B=4
the value of
with the given condition ![cos\theta>0](https://tex.z-dn.net/?f=cos%5Ctheta%3E0%20)
i.e.
∈ (3π/2, 2π)
now, ![sin\theta= \frac{P}{H}= \frac{-1}{\sqrt{17}}](https://tex.z-dn.net/?f=sin%5Ctheta%3D%20%5Cfrac%7BP%7D%7BH%7D%3D%20%5Cfrac%7B-1%7D%7B%5Csqrt%7B17%7D%7D)
Can you give the data please?
Answer: The area of the Polygon D is 36 times larger than the area of the Polygon C.
Step-by-step explanation:
<h3>
The complete exercise is: "Polygon D is a scaled copy of Polygon C using a scale factor of 6. How many times larger is the area of Polygon D than the area Polygon C"?</h3>
In order to solve this problem it is important to analize the information provided in the exercise.
You know that the Polygon D was obtained by multiplying the lengths of the Polygon C by the scale factor of 6.
Then, you can identify that the Length scale factor used is:
![Length\ scale\ factor=k=6](https://tex.z-dn.net/?f=Length%5C%20scale%5C%20factor%3Dk%3D6)
Now you have to find the Area scale factor.
Knowing that the Length scale factos is 6, you can say that the Area scale factor is:
![Area \ scale\ factor=k^2=6^2](https://tex.z-dn.net/?f=Area%20%5C%20scale%5C%20factor%3Dk%5E2%3D6%5E2)
Finally, evaluating, you get that this is:
![Area \ scale\ factor=36](https://tex.z-dn.net/?f=Area%20%5C%20scale%5C%20factor%3D36)
Therefore, knowing the Area scale factor, you can determine that the area of the Polygon D is 36 times larger than the area of the Polygon C.
Answer:
5
Step-by-step explanation: