Answer:
56
Step-by-step explanation:
16 x 3 = 48
Half of 16 is 8
48 + 8 = 56
Answer:
Solution:
,
Step-by-step explanation:
Given:
The rational equation to solve is given as:

Doing cross product, we get:

Now, for
, the rational equation is equal to 0. So,
is a solution.
Also,
is also a solution.
So, no extraneous solution.
Hello friend that would be the last option (3, 2)
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Answer: m∠1=42°
Step-by-step explanation
For this problem, we can separate the triangle into 2 separate triangles to solve for m∠1.
We know that m∠4 is 106°. ∠2 and ∠4 are supplementary angles. You can see that they make a straight line of 180°. We can use this fo find ∠2.
∠2+∠4=180
∠2+106=180
∠2=74°
Now that we know ∠2 is 74°, we can use that to solve for m∠1.
We know that the measures of the angles in a triangle equal to 180°. For the triangle at the bottom, we see ∠3, ∠2, ∠1. Since we know ∠3 and ∠2, we can find ∠1.
∠3+∠2+∠1=180
64+74+∠1=180
138+∠1=180
∠1=42°
Answer:
y = 
Step-by-step explanation:
As given , y' = 3y - 2y²
⇒y' - 3y = -2y²
Divide by y² in the above equation
⇒
⇒
........(1)
Now , let
= u
⇒-
⇒-
∴ equation (1) becomes
-
- 3u = -2
⇒
+ 3u = 2
It is a linear differential equation
Now,
Integrating factor = I.F =
= 
∴ The solution becomes
u.(I.F) =
+ C
⇒u.(
) =
+ C
⇒u.(
) =
+ C
⇒u = 
As
= u
⇒
= 
⇒ y = 
⇒ y = 