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2 years ago

Are any of the figures B, C, or D scaled copies of figure A? Explain how you 1 point

Mathematics

2 answers:

wel2 years ago

8 0

Answer:

Figure D is a scale copy of A because all the segments of figure A were proportionately increased by a scale factor of 2 units to generate figure D.

Figure D is twice of figure A.

Step-by-step explanation:

To generate a scaled copy of a figure, the scale factor is used to multiply the lenght of each segment of the original figure. As a result, the original lenght of all the segments of the original figure is proportionately increased, if we are scaling up.

Figure D appears to be the only figure that has all its segments proportionately increased by a factor of 2 units, therefore, figure D is a scale copy of figure A

lapo4ka [179]2 years ago

7 0

Answer:

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Step-by-step explanation:

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The Longstocking Toy Company is coming up with a new summer toy - Tinker the

SVEN [57.7K]

Answer:

face: hemisphere
hat: cone

Step-by-step explanation:

The diagram shows a cone atop a hemisphere. We associate the cone with the hat (because it is on top), and the hemisphere with the face.

The shapes use are ...

face: hemisphere

hat: cone

7 0

2 years ago

The vertex form of the equation of a vertical parabola is given by y= 1/4p(x-h)^2 , where (h, k) is the vertex of the parabola a

Brrunno [24]

Answer:

See diagram, attached.

Part A: Equation of the directrix is y= -2

Part B: point of intersection A of directrix & line of symmetry A(6,-2)

Part C: y = (1/12) (x-6)^2+1

or on simplifying

12y = x^2 -12x +48

(Note: given instructions omitted the +k term.)

part D: The parabola opens upwards becaus p>0.

Part E: The value of p is the difference of y coordinates of F minus the y-coordinate of A, all divided by 2, which is positive.

Part F: p = (4 - (-2))/2 = +3

Part G: y = (1/12)(x-6)^2 + 1

Part H: See attached diagram below

Part I : y = (1/12) (x-6)^2 + 1 where h=6, k=1, or V(6,1).

It fits with the given formula, provided we include the +k term.

Step-by-step explanation:

The vertex form of the equation of a vertical parabola is given by y= 1/4p(x-h)^2 , where (h, k) is the vertex of the parabola and the absolute value of p is the distance from the vertex to the focus, which is also the distance from the vertex to the directrix. You will use the GeoGebra geometry tool to create a vertical parabola and write the vertex form of its equation. Open GeoGebra, and complete each step below. If you need help, follow these instructions for using GeoGebra.

Part A: Mark the focus of the parabola you are going to create at F(6, 4). Draw a horizontal line that is 6 units below the focus. This line will be the directrix of your parabola. What is the equation of the line? (y=-2)

Part B: Construct the line that is perpendicular to the directrix and passes through the focus. This line will be the axis of symmetry of the parabola. What are the coordinates of the point of intersection, A, of the axis of symmetry and the directrix of the parabola? A(6,-2)

Part C: Explain how you can locate the vertex, V, of the parabola with the given focus and directrix. Write the coordinates of the vertex.

We know that the equation in vertex form is

y = (1/(4p)(x-h)^2+k where V(h,k) are the coordinates of the vertex.

From points F and A, we know that the distance from directrix to focus is 6.

Therefore p=3.

The vertex, V(h,k) is located at the mid point between the segment joining the directrix and the focus, namely A & K, which has coordinates V(6,1), thus h=6, k=1.

The equation of the parabola is therefore

y = (1/(4p) * (x-h)^2 +k) = (1/(4*3))(x-6)^2 +1 = (1/12) (x-6)^2+1

(note: given instructions omitted the +k term.)

Simplifying

12y = x^2 -12x +36+12

12y = x^2 -12x +48

Part D: Which way will the parabola open? Explain.

The parabola opens upwards becaus p>0.

Part E: How can you find the value of p? Is the value of p for your parabola positive or negative? Explain.

The value of p is the difference of y coordinates of F minus the y-coordinate of A, all divided by 2, which is positive.

Part F: What is the value of p for your parabola?

p = (4 - (-2))/2 = +3

Part G: Based on your responses to parts C and E above, write the equation of the parabola in vertex form. Show your work.

y = (1/12)(x-6)^2 + 1

Part H: Construct the parabola using the parabola tool in GeoGebra. Take a screenshot of your work, save it, and insert the image below.

See attached diagram below

Part i: Once you have constructed the parabola, use GeoGebra to display its equation. In the space below, rearrange the equation of the parabola shown in GeoGebra, and check whether it matches the equation in the vertex form that you wrote in part G. Show your work.

1.33...x^2 - 16x -16y = -64

Multiply all by 3/4

x^2-12x-12y=-48

rearrange

12y = x^2-12x+36 +12

Factor

12y = (x-6)^2 + 12

Divide by 12 all through

y = (1/12) (x-6)^2 + 1 where h=6, k=1, or V(6,1).

It fits with the given formula, provided we include the +k term.

6 0

2 years ago

One year,the price of wheat was $8.87 per bushel.The next year,the price was $9.60. Round the price per bushel of wheat for each

stellarik [79]

So the given numbers are:
=> One year, the price of wheat is 8.87 dollars
=> the next year, the price of wheat is 9.60 dollars.
We were asked to round each prices of bushels of wheat to its nearest tenths.
=> 8.87, where 8 before the decimal point is ones, 8 next to decimal point is tenths and 7 is the hundredths.
=>round off to the nearest tenths
=> 8.9
=> next is 9.60, where 9 is the ones value, 6 is the tenths value and 0 is the hundredths.
=> round off to nearest tenths
=> 9.6

5 0

2 years ago

Eva wanted to fill bags with ¾ pounds of trail mix. She started with 11 ⅜ pounds but ate ⅛ pound before she started filling the

Len [333]

She fill 12 bags because if you take 3/4*11 3/8- 1/8=12

3 0

2 years ago

Cube-shaped blocks are packed into a cube-shaped storage container. The edge length of the storage container is 212 feet. The

igor_vitrenko [27]

Answer:

The volume of cube-shaped block is 0.125 cubic feet.

Step-by-step explanation: