Answer: 2, -3
Step-by-step explanation:
If the two equations in parenthesizes were there own equations which ones would equal 1 and 6
(x-1) or x=1
(3x-1) or x=1/3
3(x-1) or 3x-3 or x=1
Do you understand?
Answer:
Value of the limit is 0.5.
Step-by-step explanation:
Given,

When,





Correct upto six decimal places.
Now,
form, applying L-Hospital rule that is differentiating numerator and denominator we get,

form.

Limit exist and is 0.5. That is according to (1) we can see as the value of x lesser than 1 and tending to near 0, value of the function decreases respectively. And from (2) it shows ultimately it decreases and reach at 0.5, consider as limit point of F(x).
Answer:
Q7. 11.3 inches (3 s.f.)
Q8. 96.2 ft
Q9. 36.4cm
Step-by-step explanation:
Q7. Please see attached picture for full solution.
Q8. Let the length of a side of the square be x ft.
Applying Pythagoras' Theorem,

Thus, the perimeter of the square is

Q9. Equilateral triangles have 3 equal sides and each interior angle is 60°.
Since the perimeter of the equilateral triangle is 126cm,
length of each side= 126÷3 = 42 cm
The green line drawn in picture 3 is the altitude of the triangle.
Let the altitude of the triangle be x cm.
sin 60°= 
(to 3 s.f.)
Therefore, the length of the altitude of the triangle is 36.4cm.
Answer:
cylinder surface area = 201.06in²
surface area of cone = 56.56in.²
Step-by-step explanation:
cylinder surface area formula = 2πrh + 2πr²
refer the pic
cone surface area formula = πr ( r + √h² + r² )
refer the sec pic
surface area of the solid
= ( 201.06 + 56.56 ) in.²
= 257.62in.²
= 258in.²