Answer:
(9,-6)
(9,2)
(8,2)
(8,-6)
Step-by-step explanation:
To reflect something over the y axis all you have to do is change the sign of the X coordinate
which means that
(-9,-6) is (9,-6)
The other answers are
(9,2)
(8,2)
(8,-6)
Answer: D
Step-by-step explanation:
D is the correct answer because first of all, there are 13 balls total. So the denominator would have to be 13. Also, white is the second largest number of balls in the set, so it is pretty likely that you will pick it. Although the most common picked would be green since it has the most balls.
Answer:
y=15x
Assuming he is mowing at a constant rate it would be 15 square feet per minute.
Step-by-step explanation:
Answer:
cosФ =
, sinФ =
, tanФ = -8, secФ =
, cscФ =
, cotФ = 
Step-by-step explanation:
If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:
- cosФ =

- sinФ =

- tanФ =

- secФ =

- cscФ =

- cotФ =

- Where r =
(the length of the terminal side from the origin to point (x, y)
- You should find the quadrant of (x, y) to adjust the sign of each function
∵ Point (1, -8) lies on the terminal side of angle Ф in standard position
∵ x is positive and y is negative
→ That means the point lies on the 4th quadrant
∴ Angle Ф is on the 4th quadrant
∵ In the 4th quadrant cosФ and secФ only have positive values
∴ sinФ, secФ, tanФ, and cotФ have negative values
→ let us find r
∵ r = 
∵ x = 1 and y = -8
∴ r = 
→ Use the rules above to find the six trigonometric functions of Ф
∵ cosФ = 
∴ cosФ =
∵ sinФ = 
∴ sinФ = 
∵ tanФ = 
∴ tanФ =
= -8
∵ secФ = 
∴ secФ =
= 
∵ cscФ = 
∴ cscФ = 
∵ cotФ = 
∴ cotФ =
Answer:
A; the actual length of the land bridge from P to H is 50 yards
Step-by-step explanation:
Here in this case, given the coordinates of P and H, we want to calculate the actual length of the distance between the two points.
Mathematically, to calculate this distance, we make use of the distance formula;
D = √(x2-x1)^2 + (y2-y1)^2
In this case, (x1,y1) = (2,55) while (x2,y2) = (32,15)
Substituting these values
D = √(32-2)^2 + (15-55)^2
D = √(-30)^2 + (-40)^2
D = √(900 + 1600)
D = √(2,500)
D = 50 units
Now, we know that each units represent 1 yard, thus 50 units will represent 50 * 1 = 50 yards