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:
f(4) = 6
Step-by-step explanation:
f(x) = 3x - 6
f(4) = 3(4) - 6
f(4) = 12 - 6
f(4) = 6
1-Like Terms
2-Unlike Terms
3-Like terms
4Like Terms
5-Unlike terms
6-Unlike Terms
Answer:
a-
b-
c-
Step-by-step explanation:
a.7 y''-7 y =0
Auxillary equation


D=1,-1
Then , the solution of given differential equation

2.
Y=


Substitute in the given differential equation

Hence,
is not a solution of given differential equation
are also not a solution of given differential equation.
y=


Substitute the values in the differential equation

=
Hence,
is a solution of given differential equation.
c.



Substitute the values in the differential equation

Hence,
is a solution of given differential equation.
a-
b-
c-
Answer:
7x when x=2=<em>7</em><em>×</em><em>2</em><em>=</em><em>1</em><em>4</em><em> </em><em>is</em><em> </em><em>your</em><em> </em><em>answer</em>