Answer:
Second Graph
Step-by-step explanation:
Given the linear inequality, y > -x - 3, an easier way of determining its graph is through a test point.
A test point is an ordered pair that is not on the actual line of the graph. The point of origin, (0, 0) is often used for this purpose.
Substitute the values of (0, 0) into the linear inequality to find out whether it satisfies the given inequality statement:
y > -x - 3
0 > - (0) - 3
0 > - 0 - 3
0 > -3 (True statement). Therefore, the shaded region must contain the test point since it is one of the solutions to the given linear inequality.
Hence, the correct answer is the second graph.
Answer:
25
Step-by-step explanation:
2400 dived by 96 is 25
Answer:
Part A
The bearing of the point 'R' from 'S' is 225°
Part B
The bearing from R to Q is approximately 293.2°
Step-by-step explanation:
The location of the point 'Q' = 35 km due East of P
The location of the point 'S' = 15 km due West of P
The location of the 'R' = 15 km due south of 'P'
Part A
To work out the distance from 'R' to 'S', we note that the points 'R', 'S', and 'P' form a right triangle, therefore, given that the legs RP and SP are at right angles (point 'S' is due west and point 'R' is due south), we have that the side RS is the hypotenuse side and ∠RPS = 90° and given that 
= 
, the right triangle ΔRPS is an isosceles right triangle
∴ ∠PRS = ∠PSR = 45°
The bearing of the point 'R' from 'S' measured from the north of 'R' = 180° + 45° = 225°
Part B
∠PRQ = arctan(35/15) ≈ 66.8°
Therefore the bearing from R to Q = 270 + 90 - 66.8 ≈ 293.2°
The answer is 2,800 or 2800
Answer:
11/5 inches
Step-by-step explanation:
total snowfall for the day = snowfall in morning + snowfall in evening
= 8 over 5 + 3 over 5 (all in inches)
= 8/5 + 3/5 (all in inches)
Since the denominators are the same (5), we can simply add the numerators up while keeping the denominator
(8/5 + 3/5) inches= (8+3)/5 inches = 11/5 inches = total snowfall for the day
