Answer:
Vertex ( 5 ,8) .
Step-by-step explanation:
Given : f(x) = 2(x − 5)² + 8.
To find : Determine the vertex of the function .
Solution : We have given
f(x) = 2(x − 5)² + 8.
Vertex form of parabola : f (x) = a(x - h)² + k, where (h, k) is the vertex.
On comparing f(x) = 2(x − 5)² + 8. with vertex form of parabola.
a = 2 , h = 5 , k = 8 .
Vertex ( 5 ,8) .
Therefore, Vertex ( 5 ,8) .
Answer:
$30
Step-by-step explanation:
x =4(3.45)+1.5(3.98)+2(4.35)+1.53
=13.8+5.97+8.7+1.53
=30
Answer:
242cm^2
Step-by-step explanation:
The formula for surface area of a rectangular(assuming that's what you have) is Perimeter of the Base(height) + 2(Area of the Base)
Or you could add up all the sides, or use this formula
SA=2(length*width)+2(length*height)+2(height*width)
2×(10×7 + 10×3 + 7×3)
helpful links:
https://www.khanacademy.org/math/ basic-geo/basic-geo-volume-sa/basic-geometry-surface-area/v/surface-area-of-a-box
http://www.math.com/tables/geometry/surfareas.htm
https://www.basic-mathematics.com/surface-area-formula.html
Answer: At 01:05 p.m. it will overlap again.
Explanation:
Since there are 22 times in a day the minute and the hour hands overlap.
During the first half of the day , it overlaps 11 times and during the rest of the day it overlap 11 more times.
At noon, the minute and the hour hands overlap and after that it will happen at 01:05 p.m.
Since the minute hand completes a full circle in one hour, so it forms 6 degrees per minute .
So, at 01:05 p.m. it will overlap again.
