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KatRina [158]
3 years ago
11

The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,4), (7,0) and (7,4). If a line through (2,2) pa

rtitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?
A. 0
B. 2/5
C. 4/7
D. 1
E. 7/4
Mathematics
1 answer:
Pie3 years ago
7 0

Answer:

The answer is A

Step-by-step explanation:

The rectangular has a height of 4 unit and has a width of 7 units. Area of the rectangular is:

4*7=28

28 unit square.

The point of (2,2) is on the middle height of rectangular shape. The point has 2 unit distance to base and ceiling of the rectangular.

The line y=2 is passing thought on (2,2) and also divides rectangular into two rectangular which have 14 unit square area.

Therefor, the slope is 0

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3 years ago
a. For what values of x does f (x )equals 3 x plus 3 sine x have a horizontal tangent​ line? b. For what values of x does f (x )
laila [671]

Answer:

(a)Therefore the value of x=\pi

(b) Therefore the value of x =\frac{\pi}{2}

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,

f(x)= 3x+3sin x

Differential with respect to x

f'(x)=3+3cos x

For horizontal tangent line, f'(x)=0

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(b)

Given that, the slope is 3.

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Therefore the value of x =\frac{\pi}{2}

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