Answer:
-12x+20
Step-by-step explanation:
Subtract similar numbers:
2x - 14x = -12x
Product:
12 - 12x + 8
Group the terms that are similar:
-12x + 12 + 8
Add the numbers:
-12x + 20
Final answer:
-12x + 20
The answer is 101.38 or 101.380 : )
Answer:
Missing number ⇒ 27
Step-by-step explanation:
Given sequence is:
1, 1, 4, 8, 9 , ?, 16, 64
We need to find the missing number of the sequence.
Solution:
We can see the series consist numbers 1, 2, 3, 4, 5.. of power 2 and 3 each respectively. So, the series is
such that
![1 = 1^{2}\\1=1^{3}\\ 4=2^{2}\\\ 8=2^{3}\\\ 9=3^{2}\\\ 27=3^{3}------missing \ number\\\ 16=4^{2}\\\ 64=4^{3}](https://tex.z-dn.net/?f=1%20%3D%201%5E%7B2%7D%5C%5C1%3D1%5E%7B3%7D%5C%5C%204%3D2%5E%7B2%7D%5C%5C%5C%208%3D2%5E%7B3%7D%5C%5C%5C%209%3D3%5E%7B2%7D%5C%5C%5C%2027%3D3%5E%7B3%7D------missing%20%5C%20number%5C%5C%5C%2016%3D4%5E%7B2%7D%5C%5C%5C%2064%3D4%5E%7B3%7D)
Therefore, missing number is ![3^{3}= 27](https://tex.z-dn.net/?f=3%5E%7B3%7D%3D%2027)
Answer:
See below
Step-by-step explanation:
<em>Refer to attached. All answers included.</em>
- <u>Note. Will mainly refer to y-coordinates in distance questions</u>
<h3>Part A</h3>
- Distance from coffee shop to library: 16 -8 = 8
- Distance from coffee shop to school: 16 - 10 = 6 = x
- Distance from school to library: 10 - 8 = 2 = y
- Ratio x:y = 6: 2 = 3:1
<h3>Part B</h3>
- Distance from Sergio's home to Saskia's home: 19 -3 = 16
- Distance from Sergio's home to Post office: 16*1/4 = 4
- Coordinates of post office: x = 16+4/4= 17, y = 19-16/4= 15
<h3>Part C</h3>
- Distance from Kay's home to twin theater: 20 - 4 = 16
- Distance from twin theater to market: 16*3/4 = 12
- Coordinates of market: x = 5+4/4= 6, y = 4 + 16/4= 8
Answer:
The length of the diagonal will be 2.