Answer:
c
Step-by-step explanation:
Answer:
108
Step-by-step explanation:
Limit as x approaches 9 of x^2 -81/sqrt of x - 3
First substitute x into the expression
= 9²-81/√9 - 3
= 81-81/3-3
= 0/0 (indeterminate)
Apply l'hospital rule
= lim x -> 9 d/dx(x²-81)/√x - 3
= lim x -> 9 2x/1/2√x
Substitute x = 9
= 2(9)/1/2√9
=18/1/(2(3)
=18 × 6/1
= 108
Hence the limit of the function is 108
To find the total area of this polygon, you would have to find the areas of the rectangle and two triangles and add them up.
Area of Triangle = 1/2 x base x height
= 1/2 x 16 x 6
= 8 x 6
= 48
And since there are two triangles, we can multiply 48 by 2 to get the areas of both triangles.
Area of Both Triangles = 48 x 2 = 96
Area of Rectangle = base x height
= 16 x 10 = 160
Total Area = 96 + 160 = 256 cm2
We have y - 2 = m(x + 5), where m = (-1 - 2)/(10 + 5) = -3/15 = -1/5;
Then y - 2 = (-1/5)(x + 5);
5y - 10 = (-1)(x + 5);
5y - 10 = -x - 5;
x + 5y - 5 = 0 is the equation of the line.
Answer:
x = 20
X was found using the Pythagorean theorem
Step-by-step explanation: