Substituting this into the other ODE gives
Since 
, it follows that 
. The ODE in 
has characteristic equation
with roots 
, admitting the characteristic solution
From the initial conditions we get
So we have
Take the derivative and multiply it by -1/4 to get the solution for 
:
Answer:
x = 129°
Step-by-step explanation:
∠ ABD and ∠ DBC are a linear pair and sum to 180° , then
y + ∠ DBC = 180°
107° + ∠ DBC = 180° ( subtract 107° from both sides )
∠ DBC = 73°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , then
x = ∠ DBC + z = 73° + 56° = 129°
Step-by-step explanation:
a)
135
/ \
3. 45
/ \
3. 15
/ \
3. 5
b)
250
/ \
10 .25
/\ / \
2 5. 5 5
c)
351
/ \
3. 117
/ \
3. 39
/ \
3. 13
Hope it helps :)
Answer:
2) x = 6 y = 7 3) x = -5 y= 2
Step-by-step explanation:
2) 10x - 8y = 4
2(-5x + 3y = -9)
-10x + 6y = -18
10x - 8y = 4 Add both equations together
-2y = -14
y = 7 Divide both sides by -2
10(x) - 8(7) = 4 Plug in 7 for the y to solve for x
10x - 56 = 4
+ 56 + 56 Add 56 to both sides
10x = 60
x = 6 Divide both sides by 10
3) Where the two lines intersect, that is the solution to x and y.
The lines intersect at (-5,2). x = -5 y = 2
A.
1 hour = 60 minutes ;
2 hour s= 120 minutes;
140 - 120 = 20 minutes ;
20 = 60 ÷ 3 ;
20 minutes represents ( 1 / 3 ) hour;
Then, 140 minutes represents 2 1 / 3 hours ;
2 1 / 3 = 7 / 3 = 2.(3) ;
B.
2.(3) > 2.3 ;
your friend underestimate the length of the movie ;
