We need to find the length of side PQ of the polygon.
Distance formula:
Using distance formula we get
The length of side PQ of the polygon is 5 units.
I think this is what you were asking..?
Y = -(1/2)(x-2)² +8
Re write it in standard form:
(y-8) = -1/2(x-2)² ↔ (y-k) = a(x-h)²
This parabola open downward (a = -1/2 <0), with a maximum shown in vertex
The vertex is (h , k) → Vertex(2 , 8)
focus(h, k +c )
a = 1/4c → -1/2 = 1/4c → c = -1/2, hence focus(2, 8-1/2) →focus(2,15/2)
Latus rectum: y-value = 15/2
Replace in the equation y with 15/2→→15/2 = -1/2(x-2)² + 8
Or -1/2(x-2)² +8 -15/2 = 0
Solving this quadratic equation gives x' = 3 and x" = 2, then
Latus rectum = 5
Answer:
45 pages
Step-by-step explanation:
Caleb read a total of 30 pager over 2 hours.
To find the unit rates
2 hours of reading = 30 pages
1 hour of reading = x
Cross Multiply
2× x = 30 × 1
2x = 30
x = 30/1
x = 15 Pages.
Hence, he read 15 pages per hour
After a total of 3 hours of reading this week, how many pages will Caleb have read in all?
If;
1 hour = 15 pages
3 hours = x pages
Cross Multiply
x = 3 × 15 pages
x = 45 pages
Hence, Caleb would have read 45 pages in all
Answer:
280 miles per day
Step-by-step explanation:
first, take out the flat fee. 98-42=56
then, to find the amount of miles, divide 56/0.2=280
