Answer:
thank for the pointshhhhfgtf5ttctctx4dd5y8hhousjshs
Solve the inequality for x:
5x - 3 ≤ 7x +7
Subtract 7x from each side:
-2x -3 ≤ 7
Add 3 to each side:
-2x ≤ 10
Divide both sides by -2, also when dividing both sides of an inequality you flip the direction of the inequality sign:
x ≥ -5
The dot will be on -5, because the inequality includes equal to, the dot is solid and is greater than, the arrow will point to the right.
The correct answer is D.
Answer:
x=11
Step-by-step explanation:
Add 7 to both sides
-3x+5x=22
combine like terms(-3x and 5x)
2x=22
divide by 2
x=11
B and C (I think they are the same)
Answer:
i. Colonel is about 201 feet away from the fire.
ii. Sarge is about 125 feet away from the fire.
Step-by-step explanation:
Let the Colonel's location be represented by A, the Sarge's by B and that of campfire by C.
The total angle at the campfire from both the Colonel and Sarge =
+ 
= 
Thus,
<CAB =
-
= 
<CBA =
-
= 
Sine rule states;
=
= 
i. Colonel's distance from the campfire (b), can be determined by applying the sine rule;
= 
= 
= 
cross multiply,
b = 
= 200.8993
Colonel is about 201 feet away from the fire.
ii. Sarge's distance from the campfire (a), can be determined by applying the sine rule;
= 
= 
= 
cross multiply,
a = 
= 124.8073
Sarge is about 125 feet away from the fire.