Step-by-step explanation:
-12×-9+24×+4=43
24×-12×=43-4+9
12×=48
×=4
The painting could be 5ft high and 12ft long, or it could be 4ft high and 15ft long, or it could also be 6ft high and 10 ft long
Answer:
The slope is -1/3
Step-by-step explanation:
(y2-y1)/(x2-x1)
(4-5)/(6-3)
-1/3
Answer:
(a)Therefore the value of x=
(b) Therefore the value of x 
Step-by-step explanation:
Horizontal tangent line: The first order derivative of a function gives the slope of the tangent of the function. The slope of horizontal line is zero.If the slope of tangent line is zero then the tangent line is called horizontal tangent line.
(a)
Given function is,

Differential with respect to x

For horizontal tangent line, f'(x)=0
3+ 3 cos x= 0
⇒3 cos x=-3
⇒cos x=-1
⇒x = 180° 
Therefore the value of x=
(b)
Given that, the slope is 3.
Then,f'(x)=3
3+ 3 cos x= 3
⇒3 cos x= 3-3
⇒cos x=0
⇒x = 90° 
Therefore the value of x 
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Find the circumference of the circle and show work. [refer to
attachment]

Formula for Circumference of a Circle:-

Where
- C = circumference
- π = pi (3.14…)
- r = radius, which in this case is equal to 8
Substitute the value of r and solve:-
C=2π(8)
On simplification,
C=16π
On further simplification,
C=50.3
Therefore, we conclude that the circumference of this circle is

<h3>Good luck.</h3>
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