Answer:-3
Step-by-step explanation:
Answer :
Option B
Step by step explanation :
As we can see in figure, Triangle is right angled at A
In ∆ABC
By Pythagoras theorem,
BC² = AC² + AB²
=> BC² = (3)² + (4)²
=> BC² = 9 + 16
=> BC² = 25
=> BC = 5 cm
We know,
=
Here,
base = AC = 3cm
height = AB = 4cm
=>
=
=> 
=> 
As BC = DE
And then BD = EC
it shows the property of rectangle
So BD = 6 cm
Now,

=> Area of rectangle = 6cm x 5cm
=> 
Now,
Area of the figure = Area of rectangle + Area of triangle
=> Area of the figure = 30cm² + 6cm²
=> 
Therefore, <u>option B</u> is the correct answer for this question.
Answer:
Step-by-step explanation:
Take the derivative of all terms with respect to x:
-2(dy/dx) + 16x = -7 + 18y(dy/dx). Grouping the (dy/dx) terms on the left, we get:
(dy/dx)(-2 - 18y) = -7 - 16x, or
-7 - 16x
dy/dx = ------------------
-2(1 + 18y)
Substituting 2 for x and -3 for y, we obtain the desired derivative:
-7 - 16x -7 - 32 -39
dy/dx = ------------------ = --------------- = ----------- = -0.368
-2(1 + 18y) -2(1 - 54) 106