Using the Euler's formula, the number of segments in the pentagonal prism is: 15.
<h3>What is the Euler's Formula?</h3>
The Euler's formula is given as, F + V = E + 2, where:
- F = number of faces (number of regions)
- V = vertices
- E = number of edges (number of segments).
Given that the pentagonal prism has the following dimensions:
- F = 7
- V = 10
- E = number of segments = ?
Plug in the values into the Euler's formula, F + V = E + 2:
7 + 10 = E + 2
17 - 2 = E
E = 15
Therefore, using the Euler's formula, the number of segments in the pentagonal prism is: 15.
Learn more about the Euler's formula on:
brainly.com/question/1178790
Answer: y= -2x + 7
Step-by-step explanation: Slope intercept form is simply y=mx+b or y= slope(x) + y intercept.
Step-by-step explanation:
y = -2x² + 4x + 1
Complete the square.
y = -2 (x² − 2x) + 1
y = -2 (x² − 2x + 1) + 1 − (-2)(1)
y = -2 (x − 1)² + 3
The vertex is (1, 3). The leading coefficient is negative, so the vertex is a maximum.
Graph: desmos.com/calculator/qsih3rd8ev
Times the corner and bases
6 x 89 is 534
6 x (90 - 1) is 534. BUT you have to subtract 90 from 1 and that's 89. So then you multiply 6 by 89.
6 x 90 is 540 and 6 x 1 is 6. you take 540 subtract 6 and that's 534.
540 - 6 is 534.
