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Oksanka [162]
3 years ago
11

Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign? 4x + 3 (is presented

next to a square street sign)
A. 16x2 + 12x + 9
B. 16x2 + 24x + 9
C. 8x2 + 9
D. 8x2 + 6
Mathematics
1 answer:
ELEN [110]3 years ago
7 0
Ans: The correct Option is (B) 16x^2 + 24x + 9

Explanation:

Since,

Area = y^2

Where
y = 4x+3

So
Area = (4x+3)^2
Area = 16x^2 + 24x + 9
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jake took a taxi to the movie theatre last weekend. the cab totaled $43 but he also wanted to give the driver a 15% tip. what is
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Answer:

49,45$

Step-by-step explanation:

15 : 100 = x : 43

x = (43 * 15) / 100 = 6,45

43 + 6,45 = 49,45$

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Answer:

Most likely A, maybe b not c

Step-by-step explanation:

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( I'm new at functions ;_; )<br> What is the value of the function y = 2x + 3 ⁢when x=−1 ?
Natali [406]
Answer: y=1
Explanation: all you have to do is plug in “-1” where x is. So you get: y=2(-1) +3.
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Circle B has a center at point (0, 2) and a point W on the circle at (3, 3). Which equation represents a line that is tangent to
Solnce55 [7]

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:

y = -x + 6.

<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:

(x - x_0)^2 + (y - y_0)^2 = r^2

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

x^2 + (y - 2)^2 = r^2

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

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

r^2 = 10

Hence, the equation is:

x^2 + (y - 2)^2 = 10

<h3>What is the equation of the tangent line at point W?</h3>

It is given by:

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

Applying implicit differentiation, we have that:

2x + 2y\frac{dy}{dy} = 0

\frac{dy}{dx} = -\frac{x}{y}

Point W(3,3), hence:

(x_0, y_0) = (3,3)

\frac{dy}{dx} = -\frac{3}{3} = -1

Hence the equation is:

y - 3 = -(x - 3).

y = -x + 6.

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

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