Answer:
(- 1, - 3 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) partitioned in the ratio m : n
Then using the Section formula the coordinates of the point are
(
,
)
Here (x₁, y₁ ) = (- 4, - 9), (x₂, y₂ ) = (1, 1) and m : n = 3 : 2 , then
(
,
)
= (
,
)
= (
,
)
= ( - 1, - 3 )
9514 1404 393
Answer:
(-∞, -4) ∪ [-2, ∞)
Step-by-step explanation:
The solution to the first inequality is ...
-9x +3 > 39
-9x > 36 . . . . . subtract 3 from both sides
x < -4 . . . . . . . divide both sides by -9; reverse > to < because -9 is negative
__
The solution to the second inequality is ...
-5x +6 ≤ 16
-5x ≤ 10 . . . . . . . subtract 6 from both sides
x ≥ -2 . . . . . . divide both sides by -2; reverse ≤ to ≥ because -2 is negative
__
These solution sets are disjoint. The solution of the OR of these inequalities is the union of the solution sets. The graph is shown below. In interval notation, it is described by ...
(-∞, -4) ∪ [-2, ∞)
The -2 has a square bracket because it is included in the set. The curved bracket at -4 indicates it is not included.
y = mx + b
-3 = -2(-5) + b
-3 = 10 + b
-13 = b
y = -2m - 13
The line would pass through -13 on the y-axis and it would go down 2 and move to the right 1 for every new point.
Hope this helps! ;)
Given:
Starting point = (0,0)
First ride = (0,4)
Second ride = (3,0)
In map, each unit = 100 ft
To find:
The actual distance between first and second ride.
Solution:
Distance formula: Distance between two points is

Using the distance formula, we get the distance between first ride and second ride in the map is




So, the distance between first ride and second ride in the map is 5 units.
We have,
1 units = 100 ft
5 units = 500 ft
The actual distance between first and second ride is 500 ft.
Therefore, the correct option is C.
Answer:
Step-by-step explanation:
attached below