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Arte-miy333 [17]
3 years ago
14

Susan uses the function p(x) = 4x to determine the perimeter of a square when she knows the side length, x. Which statements are

true about the function?
The perimeter is the dependent variable.
The length of the side of the square is the dependent variable.
The value of p(x) depends on the value of x.
The length of the side of the square is the independent variable.
The value p(x) can be found by multiplying p by x.
The perimeter is the independent variable.
Mathematics
1 answer:
givi [52]3 years ago
7 0

Answer:

Step-by-step explanation:

The perimeter is the dependent variable.  TRUE

The length of the side of the square is the dependent variable.  FALSE

The value of p(x) depends on the value of x.  TRUE

The length of the side of the square is the independent variable.  TRUE

The value p(x) can be found by multiplying p by x.  FALSE

The perimeter is the independent variable.  FALSE

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Answer:

Step-by-step explanation:

Surface area = lateral area + 2(area of base)

Lateral area = perimeter of base * height.

Because it is a isosceles right triangle, both sides are equal.

x^{2} +x^{2} = 72

2x^{2} = 72. Divide both sides by 2

x^{2} = 36.  Square both sides.

x = 6.

So the perimeter of the base = 6 + 6 +\sqrt{72} = 20.485281374239

Lateral area = 20.485281374239 * 7 = 143.397 cm^{2}

Area of base is (1/2)base * height.

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Using the surface area formula

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According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:

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<h3>What is the equation of the circle?</h3>

The equation of a circle of center (x_0,y_0) and radius r is given by:

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In this problem, we have that the center is at point (0,2), hence:

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It goes through point (3,3), hence:

3^2 + (3 - 2)^2 = r^2

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Hence, the equation is:

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It is given by:

y - y(0) = \frac{dy}{dx}|_{W}(x - x(0))

Applying implicit differentiation, we have that:

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Hence the equation is:

y - 3 = -(x - 3).

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More can be learned about the equation of a tangent line at brainly.com/question/8174665

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Answer:

Step-by-step explanation:

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