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3 years ago

Plot the image of point D under a dilation about point P with a scale factor of 1/3

Mathematics

1 answer:

Olin [163]3 years ago

8 0

Answer:

(if point P is (0,0))

(4,3)

Step-by-step explanation:

I do not know how to take a picture of a plot diagram but I will try to do my best in explaining

I am going to treat the grid as a plot diagram where P is the origin, and D is (12,9)

If you are doing a dilation with the origin as the center, you can use formula

$\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)$ Where t is the scale factor

The first step is to plug in the numbers appropriately

$(12*\frac{1}{3} , 9*\frac{1}{3} )$

Then, multiply 12 by 1/3 and 9 by 1/3

$(4,3)$

Your answer is (4,3)

Hope this helps, again I am so sorry it is confusing, if you have ANY questions please feel free to ask.

Have a nice day! :)

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The area A of a rectangle with a width of x-1 is given by A=2x^4+x - 7x + 4. Find an expression for the

Tcecarenko [31]

-1/2,4

No explanation

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3 years ago

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.

EastWind [94]

Answer:

The Law of Sines applies to any triangle and works as follows:

a/sinA = b/sinB = c/sinC

We are attempting to solve for every angle and every side of the triangle. With the given information, A = 61°, a = 17, b = 19, we can solve for the unknown angle that is B.

a/sinA = b/sinB

17/sin61 = 19/sinB

sinB = (19/17)(sin61)

sinB = 0.9774

sin-1(sinB) = sin-1(0.9774)

B = 77.8°

With angle B we can solve for angle C and then side c.

A + B + C = 180°

C = 180° - A - B

C = 180° - 61° - 77.8°

C = 41.2°

a/sinA = c/sinC

17/sin61 = c/sin41.2

c = 17(sin41.2/sin61)

c = 12.8

The first solved triangle is:

A = 61°, a = 17, B = 77.8°, b = 19, C = 41.2°, c = 12.8

However, when we solved for angle B initially, that was not the only possible answer because of the fact that sinB = sin(180-B).

The other angle is simply 180°-77.8° = 102.2°. Therefore, angle B can also be 102.2° which will give us different values for c and C.

C = 180° - A - B

C = 180° - 61° - 102.2°

C = 16.8°

a/sinA = c/sinC

17/sin61 = c/sin16.8

c = 17(sin16.8/sin61)

c = 5.6

The complete second triangle has the following dimensions:

A = 61°, a = 17, B = 102.2°, b = 19, C = 16.8°, c = 5.6

The answer you are looking for is the first option given in the question:

B = 77.8°, C = 41.2°, c = 12.8; B = 102.2°, C = 16.8°, c = 5.6

Step-by-step explanation:

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3 years ago

Which line is the graph of y = 1/2x + 1? line a line b line c line d

Irina18 [472]

Answer:

Step-by-step explanation:

When x=0,

Y=1/2(0)+1

Y=1

Look for the line with the point (0,1)

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3 years ago

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nadezda [96]

Answer:

A. He will have to work 40 hours to buy the headphones

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He can work anywhere between 118 and 196 hours.

Step-by-step explanation:

A. Divide 399.95 by 10.25 to get 39.01 hours. But since you cant work 0.01 of an hour, you have to round up to the next hour

B. You want to make more than or equal to 1200, so put that in the inequality. You want to make less or equal to 2000, so you put that in the inequality. In the middle, you put 10.25 an hour multiplied by the number of hours, which is a variable.

To solve, I made 10.25x = 1200, and x equaled 117.07, which rounds up to 118 hours because you cant work a 0.07 of an hour. 118 hours is the low number of the spectrum.

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2 years ago

How do you graph f(x)=45-3x ??

bezimeni [28]

Set up a table of values and plug in those values to the x and then graph the points you came up with

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4 years ago

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