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3 years ago

Which figure shows how a shape can be rotated about an axis to form the given object?

Mathematics

2 answers:

kodGreya [7K]3 years ago

7 0

The answer is as shown in the attachment which is the first diagram (on the left) on the second row which is highlighted in the attachment

That is the only figure which when rotated about the axis will form a cylindrical form as required.

The top two will form into a solid sphere and the last would form into a solid cylinder and not the one as required.

Blizzard [7]3 years ago

5 0

Answer:

Option C.

Step-by-step explanation:

In this question we will go by every option.

Option A). When a circle showing in the figure is rotated then a hollow ring will be formed.

Option B). In this option when a circle like structure with two layers is rotated about an axis it will forms a ring with two layers. Inner part of the ring will be empty.

Option C). In this option when a vertical strip is rotated by the axis, it will form the cylinder similar to the object shown in the figure.

Option D). In this option when a strip attached to the axis is rotated, a sold cylinder is formed.

Therefore Option C. is the correct option.

You might be interested in

Frank says that for any whole number n, the value of 6n-1 is always prime. Is Frank correct? Explain your answer.

Lady bird [3.3K]

Answer:

Frank is wrong

Step-by-step explanation:

$6(6) - 1 = 35$

35 is a multiply by 5 so it is not a prime number.

8 0

3 years ago

Y=-x^2+6x-4 Find the Axis of Symmetry and the Vertex, Also solve the whole equation.

Inessa [10]

Answer:

1. Axis of symmetry: x = 3

2. Vertex: (3,5)

3. Solution of the equation:

x-intercepts:

$(3-\sqrt{5},0) \\\\(3+\sqrt{5},0)$

y-intercept: (0, -4)

Explanation:

1. Equation:

$y=-x^2+6x-4$

2. Axis of symmetry:

That is the equation of a parabola, whose standard form is:

$y=ax^2+bx+c$

Where:

$a=-1;b=6;c=-4$

The axis of symmetry is the vertical line with equation:

$x=-b/2a$

Substitute $a=-1,\text{ and }b=6$

$x=-6/[(2)(-1)]=-6/(-2)=3$

Thus, the axis of symmetry is:

$x=3$

3. Vertex

The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.

To find the y-xoordinate, substitute this value of x into the equation for y:

$y=-x^2+6x-4\\\\y=-(3)^2+6(3)-4=-9+18-4=5$

Therefore, the vertex is (3, 5)

4. Find the x-intercepts

The x-intercepts are the roots of the equation, which are the points wher y = 0.

$y=-x^2+6x-4=0$

Use the quadratic equation:

$x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\\\x=\frac{-6\pm\sqrt{(-6)^2-4(-1)(-4)} }{2(-1)}\\\\x_1=3-\sqrt{5} \\\\x_2=3+\sqrt{5}$

5. Find the y-intercept

The y-intercet is the value of y when x=0:

$y=-x^2+6x-4\\\\y=-(0)^2+6(0)-4=-4$

7 0

3 years ago

Y = 2 - 4x input output

tester [92]

Every function is a rule which tells you how to associate inputs and outputs. The input, also known as independent variable, is often indicated with the letter $x$ , while the output, also known as dependent variable, is often indicated with the letter $y$ .

With this notation, we write $y = f(x)$ , read "y is a function of x", in the sense that the value of the variable y depends on the value of the variable x, and f is the function that tells you how y depends on x.

In your example, you have $y = f(x) = 2-4x$ , which means "subtract four times the input (4x) from 2"

So, it doesn't matter which input you chose (i.e. the value for x), because you will always have to behave this way:

Pick an input value, x
Multiply it by four to get 4x
Subtract this number from 2: 2-4x

Here are some examples of explicit calculations: if I choose $x = 2$ and input, the workflow will be

Pick an input value, 2
Multiply it by four to get 8
Subtract this number from 2: 2-8=-6

So, if the input is 2, the output is -6

Similarly, if we choose $x = 0$ as input, we have:

Pick an input value, 0
Multiply it by four to get 0
Subtract this number from 2: 2-0=2

So, if the input is 0, the output is 2. And so on: for every possible value for x you have the correspondant value for y, with the function f telling you how to associate one with the other.

4 0

3 years ago

The radius of a circle is 6 inches. What is the circle's circumference? Use 3.14 for .

Vikentia [17]

Answer:

37.68 inches

Step-by-step explanation:

The equation for the circumference of the circle is:

$C=2\pi r$

We can substitute 6 in for "r" and 3.14 for "π":

$C=2(3.14)(6\ in)\\C=12\ in(3.14)\\C=37.68\ in^$

4 0

2 years ago

If y varies inversely with x and y is 10 when x is 5, then what is y when x is 2?

Jobisdone [24]

9514 1404 393

Answer:

Step-by-step explanation:

Inverse variation means ...

y = k/x

For the given values, we can find k to be ...

k = xy = (5)(10) = 50

Then for x=2, we have ...

y = 50/x

y = 50/2

y = 25 . . . when x=2

6 0

3 years ago