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
Answer:
1
Step-by-step explanation:
It is certain that the number rolled will be less than 14, so the probability is 1.
A parallelogram has two pairs of opposite equal angles.
ABCD so
A = C and B = D
A = 2x + 35
C = 3x - 5
2x + 35 = 3x - 5
35 + 5 = 3x - 2x
40 = x
A = (2 x 40) + 35 = 115
A = C = 115
Sum of angles of a quadrilateral = 360
Angles B and D are equal
So
B = (360 - (115 + 115))/ 2
= 130/2
= 65
B = D = 65
