Answer:
Step-by-step explanation:
1. Area of a parallelogram = base * height
area = 10 * 4 = 40 in squared
perimeter = 2(a + b)
perimeter = 2 * (5 + 10) = 2 * 15 = 30in
2. Area of triangle = 1/2 * base * height
area = 1/2 * 21 * 8 = 84 cm squared
perimeter = sum of outer perimeters
perimeter= 10cm + 17cm + 21cm = 48cm
3. area of trapezium = 1/2 * (a+b) * h
area = 1/2 * (6+12) * 4 = 36ft squared
perimeter = sum of outer perimeters
perimeter = 5ft + 6ft + 12ft + 5ft = 28ft
Answer with explanation:
The given differential equation is
y" -y'+y=2 sin 3x------(1)
Let, y'=z
y"=z'

Substituting the value of , y, y' and y" in equation (1)
z'-z+zx=2 sin 3 x
z'+z(x-1)=2 sin 3 x-----------(1)
This is a type of linear differential equation.
Integrating factor

Multiplying both sides of equation (1) by integrating factor and integrating we get


Answer:
3.375
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
By definition, the point at which a median intersects the side of the triangle opposite from the vertex from which it is drawn is the midpoint of that side.
Answer:
upon graphing, it is linear
Step-by-step explanation:
you could set up an x-y table or you could graph it
if you graph it you'll see it's linear with a y-intercept of -2 and a slope of 9
all linear equations are functions except for vertical lines