ANSWER
139°
EXPLANATION
One of the interior angle properties of a parallelogram is that adjacent interior angles are supplementary.
This means that, the adjacent interior angles add up to 180°.
If
Then
OR
Answer:
32 siblings from the class theres a possibility that some students had more siblings and not everyone has one
Step-by-step explanation:
.
It has to be noted that there are several ways to factor the item. One of these is shown below.
The general form of a quadratic equation is,
Ax² + Bx + C = 0
where A and B are numerical coefficients and C is the constant. If we are to express the given equation in this form,
2x² - 5x - 88 = 0
The sum of the roots, x₁ and x₂ is -B/A and the product is equal to C/A.
Sum: x₁ + x₂ = -(-5/2) = 5/2
Product: x₁x₂ = -88/2 = -44
The values of x₁ and x₂ are 8 and -11/2.
The factors are (x - 8) and (x + 11/2)
<em>ANSWERS: 8 and -11/2. </em>
1. I suppose the ODE is supposed to be
Solving for 
gives
which is undefined when 
. The interval of validity depends on what your initial value is. In this case, it's 
, so the largest interval on which a solution can exist is 
.
2. Separating the variables gives
Integrate both sides. On the left, we have
where we substituted 
- or 
- and 
- or 
.
On the right, we have
So
I'll leave the solution in this form for now to make solving for 
easier. Given that 
, we get
and so our solution is
