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2 years ago

6

What is the equation of the line graphed below? (3,-1) A. y=1/3x B. y=x C. y=-3x D. y=- 1/3x

1 answer:

Rzqust [24]2 years ago

5 0

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is A.

<h3>What is the equation of a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

The graph of the question is mentioned below.

If we look the function given below then it can be observed that the given graph is linear. Also, the line passes through (0,0) and (3,1).

The slope of the line is,

Slope, m = (1-0)/(3-0) = 1/3

The y-intercept of the line is at the origin. Thus, the equation can be written as,

y = (1/3)x + 0

y = (1/3)x

Hence, the correct option is A.

Learn more about Equation of Line:

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A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t

Makovka662 [10]

Answer:

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Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

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$A_1 = \pi*(w/2)^2/2$

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And the area of the rectangle is:

$A_2 = w*x$

If the perimeter of the window is 41 feet, we have:

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$x = 41 - w(2 + \pi/2)$

Now, the equation for the total area of the window is:

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$A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))$

$A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w$

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

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So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

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3 years ago

Which statements are true about the circle shown?

CaHeK987 [17]

Answer:

Among the five statements,statement 1 and 4 are true for the circle shown.

Step-by-step explanation:

Given:

An image is attached here.

A circle with radius = 15.4 m

We ave to find the diameter,circumference and relationship between the two.

Formula to be used:

⇒ Diameter of a circle = 2r

⇒ Circumference = 2πr

Lets find the values.

Diameter = $2r=2(15.4) = 30.8$ m
Circumference = $2\pi r =2(3.14)(15.4)=96.7$ m
Relationship = $\frac{circumference}{diameter}$ $=$ $\frac{96.7}{6}$ $=3.1$

We can say that a little more than 3 diameters could be wrapped around the circle.

From the drop down our choices are.

The diameter of the circle is 30.8 m.
The approximate circumference of the circle ,rounded to the nearest tenth is 96.7 m.

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3 years ago

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pshichka [43]

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Answer:

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hope it helps

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