Answer:
3rd quadrant
Step-by-step explanation:
Given:
Point (-2, -9)
Computation:
In 1st quadrant (+ , +)
In 2nd quadrant (- , +)
In 3rd quadrant (- , -)
In 4th quadrant (+ , -)
So given point (-2, -9) is in 3rd quadrant.
We write the equation in terms of dy/dx,
<span>y'(x)=sqrt (2y(x)+18)</span>
dy/dx = sqrt(2y + 18)
dy/dx = sqrt(2) ( sqrt(y + 9))
Separating the variables in the equation, we will have:
<span>1/sqrt(y + 9) dy= sqrt(2) dx </span>
Integrating both sides, we will obtain
<span>2sqrt(y+9) = x(sqrt(2)) + c </span>
<span>where c is a constant and can be determined by using the boundary condition given </span>
<span>y(5)=9 : x = 5, y = 9
</span><span>sqrt(9+9) = 5/sqrt(2) + C </span>
<span>C = sqrt(18) - 5/sqrt(2) = sqrt(2) / 2</span>
Substituting to the original equation,
sqrt(y+9) = x/sqrt(2) + sqrt(2) / 2
<span>sqrt(y+9) = (2x + 2) / 2sqrt(2)
</span>
Squaring both sides, we will obtain,
<span>y + 9 = ((2x+2)^2) / 8</span>
y = ((2x+2)^2) / 8 - 9
180 = 24 x
7.5 = x
angle P = 85
angle Q = 45
angle R = 50
No this triangle is scalene because the sides nor the angles are congruent.
For the order of operation use PEMDAS
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
For memorizing the order you could say
Please
Excuse
My
Dear
Aunt
Sally
Answer:
15% of 60 is 9
Step-by-step explanation:
15%= 3/20
3/20*60= 180/20
180/20= 9
15% of 60 is 9
Hope this helps!
