The vertex of the graph of the function g(x) = (x - 2)^2 + 3 is 2 units to the right and 3 units up of the vertex of the graph of the function f(x) = x^2.
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:
(B) Segments MA and MB
Step-by-step explanation:
The tangent to the circle at a point is perpendicular to the radius of the circle drawn to the point of tangency.
Tangent at a point is unique.
Since there can be no two tangents at a point on circle, the options (b) and (c) are ruled out.
Now, if OA is perpendicular to MA, MA is the tangent else if OA is perpendicular to PA, PA is the tangent. Same is the case with point B.
Tangents from the same external point has same length.
MA = MB since they are the radii of the same circle with center M.
Hence, MA and MB meet all the requirements of the tangents.
H + p = 25
1.50 h + 0,50 p = 26.50
___________________
p = 25 - h
1.50 h + 0.50 ( 25 - h ) = 26.50
1,50 h + 12.50 - 0.50 h = 26.50
h = 26.50 - 12.50
h = 14
p = 25 - 14
p = 11
Gillian purchased 14 hardcover books and 11 paperback books.
Answer:
Totalitarianism goes to C, Fascism goes to B, Communism goes to D, and Constitutional Monarchy goes to A
Step-by-step explanation:
Thats the way it works
