Answer:
The length of the resulting segment is 500.
Step-by-step explanation:
Vectorially speaking, the dilation is defined by following operation:
(1)
Where:
- Center of dilation.
- Original point.
- Scale factor.
- Dilated point.
First, we proceed to determine the coordinates of the dilated segment:
(
,
,
,
)
![P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]](https://tex.z-dn.net/?f=P%27%28x%2Cy%29%20%3D%20O%28x%2Cy%29%20%2B%20k%5Ccdot%20%5BP%28x%2Cy%29-O%28x%2Cy%29%5D)
![P(x,y) = (0,0) +5\cdot [(10,40)-(0,0)]](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B5%5Ccdot%20%5B%2810%2C40%29-%280%2C0%29%5D)

![Q'(x,y) = O(x,y) + k\cdot [Q(x,y)-O(x,y)]](https://tex.z-dn.net/?f=Q%27%28x%2Cy%29%20%3D%20O%28x%2Cy%29%20%2B%20k%5Ccdot%20%5BQ%28x%2Cy%29-O%28x%2Cy%29%5D)
![Q' (x,y) = (0,0) +5\cdot [(70,120)-(0,0)]](https://tex.z-dn.net/?f=Q%27%20%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B5%5Ccdot%20%5B%2870%2C120%29-%280%2C0%29%5D)

Then, the length of the resulting segment is determined by following Pythagorean identity:


The length of the resulting segment is 500.
Answer:
16 × π in 2
Step-by-step explanation:
the formula to find the area of a triangle is πr^2, you are given the diameter which equals 2r. so split the diameter in half and plug your number in. π4^2
4^2=16
16xπ
Answer:
1A) Degree: 3
1B) 4 terms
1C) 
2A) 
2B) 
Step-by-step explanation:
The given polynomial is 
Let us rewrite the polynomial in decreasing powers of x.
This gives us the expression;
-----> This is called the standard form.
So let us answer the question:
A) The degree is the exponent of the first term when the polynomial is written in standard form.
Degree: 3
B) The terms are separated by + or - signs.
Number of terms: 4
C) Standard form: 
2A) The given expression is 
We expand using the distributive property to get:

We regroup the terms to get:

We simplify to obtain:

2B) The given expression is 

Regroup the terms to get:

We simplify to get:

35 + -27 = $43.58 and thats the answer
Answer:
i think its because it is an odd number im in middle school so im not sure but let me know if this is right
Step-by-step explanation: