Answer:
24.98 units
Step-by-step explanation:
The picture of the question in the attached figure
we have the coordinates
P(1,-6),D(4,3),O(7,-6)
The perimeter of triangle OPD is equal to

the formula to calculate the distance between two points is equal to

step 1
Find the distance OP
we have
O(7,-6),P(1,-6)
substitute in the formula



step 2
Find the distance PD
we have
P(1,-6),D(4,3)
substitute in the formula



step 3
Find the distance OD
we have
O(7,-6),D(4,3)
substitute in the formula



step 4
Find the perimeter


Answer:
(a) (-∞, -8) (-6, -4) (-2, ∞)
(b) -6, -2
(c) negative
(d) 5
Step-by-step explanation:
(a) A function is "decreasing" when the y-value decreases as the x-value increases.
⇒ the function is decreasing over these intervals : (-∞, -8) (-6, -4) (-2, ∞)
(b) Local maxima are the points on the function where it reaches a maximum.
⇒ maxima at x = -6 and x = -2
(c) negative
(d) 5
Answer:
He should order 15 long boards
Question:
Escape park owner want 30% of each order to include long boards he wants to know how many long boards to order out of a total of 50 skateboards
Step-by-step explanation:
Let x and y represent the number of long board and the total number of skateboard to order.
Given that 30% of each order to include long boards;
x = 30% of y
x = 0.3y .....1
But, the total number of skateboard is given as 50
y = 50
From equation 1
x = 0.3y = 0.3(50)
x = 15
He should order 15 long boards
Answer:
10 in
Step-by-step explanation:
6² + 8² = c²
36 + 64 = c²
100 = c²
√100 = c
10 = c