Answer:
Linear Objective Function
Answer:
f(-9) = 279
Step-by-step explanation:
f(x) = 4x^2 + 7x + 18
f(-9) = 4(-9)^2 +7(-9) + 18
= 4(81) - 63 + 18
= 324 - 63 + 18
= 279
Answer:
30.2
Step-by-step explanation:
Answer:
The distance between them after 30 minutes is 6.5 km.
Step-by-step explanation:
Speed = 
Sarah's speed = 6 km/hr = 1.6667 m/s
Emily's speed = 10 km/hr = 2.7778 m/s
The measure of angle between their bearings = 
After 30 minutes (1800 seconds);
distance = speed x time
Sarah would have covered a distance = 1.6667 x 1800
= 3000 m
= 3 km
Emily would have covered a distance = 2.7778 x 1800
= 5000 m
= 5 km
The distance between them, a, can be determined by applying the cosine rule;
=
+
- 2bcCos A
=
+
-2(5000 x 3000) Cos 105
=
+
-2(5000 x 3000) x (-0.2588)
= 2.5 x
+ 9 x
+ 7764000
= 41764000
a = 
= 6462.5073
a = 6462.5 m
The distance between them after 30 minutes is 6.5 km.
Answer:
Let's solve the expression!
Step-by-step explanation:



Your answer is 75.
The fraction shows 150 ÷ 2 and 2x ÷ 2.
I hope this helps!
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