The number is greater than - 6 2/3 and less than - 6 1/2.
We focus on the 2/3 and 1/2
Since it is a negative number we think of a fraction less than 2/3 and greater than 1/2, because of the negatives.
2/3 is around 0.66, 1/2 is = 0.5, Example is 0.6 = 6/10 = 3/5
A number that fits is -6 3/5.
Check:
- 6 2/3 ≈ -6.66
-6 3/5 = - 6.60
-6 1/2 = -6.50
-6.60 is greater than -6.66, and less than -6.50
Answer:
The length of the resulting segment is 500.
Step-by-step explanation:
Vectorially speaking, the dilation is defined by following operation:
![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)
(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) = (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:
18 cm, 24 cm, 30 cm
Step-by-step explanation:
30² = 18² + 24²
900 = 324 + 576
900 = 900
Answer: 2x
Explanation:
Whenever we have a number right next to a letter, it implicitly means to multiply. So writing 2x is the same as 2*x or "2 times x". The x is a placeholder for some number.
how long the horizontal line is
