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tekilochka [14]
3 years ago
5

Dilations PLEASE HELP ME PLEASE

Mathematics
1 answer:
AURORKA [14]3 years ago
6 0

Answer:

D' (6, - 6 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin then multiply the coordinates of D by 3, that is

D (2, - 2 ) → D'(3 × 2, 3 × - 2 ) → D' (6, - 6 )

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The area of the shaded region is the difference between the areas of the rectangle and the square.

Step-by-step explanation:

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A number Y is five times the value of a number X. A lion graft in a coordinate plane represents the relationship between X and Y
zepelin [54]

Answer:

5

Step-by-step explanation:

The value of <em>y</em> is five times the value of <em>x</em>.  In symbols, this relationship is

y=5x

Compare this with the slope-intercept form of the equation of a line.

y=mx+b  where <em>m</em> is the slope and <em>b</em> is the <em>y</em>-intercept.

The value of <em>m</em> is 5.  The slope is 5.

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3 years ago
Denine learns that about 3 out of 14 people in Mexico are under the age of 15.
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Answer:

I belive the answer is 21.42% :)

5 0
3 years ago
Read 2 more answers
Find the length of the hypotenuse. Round your<br> answer to the nearest hundredth.
sergij07 [2.7K]

Answer:

8.06

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 7^2 = c^2

16 +  49 = c^2

65= c^2

Find the square root of 65

8.06

3 0
3 years ago
Adam is building a computer desk with a separate compartment for the computer. The compartment for the computer is a rectangular
Alik [6]

Answer:

The width of the computer compartment is 9 inches

The length of the computer compartment is 33 inches

The height of the computer compartment is 27 inches

Step-by-step explanation:

The given data on the rectangular prism compartment are;

The volume of the rectangular prism, V = 8019 cubic inches

The length of the compartment, l = 24 inches + The width, w

The height of the compartment, h = 18 inches + The width, w

Therefore, we have;

l = 24 + w

h = 18 + w

V = l × h × w

∴ V = (24 + w) × (18 + w) × w = w³ + 42·w² + 432·w = 8019

w³ + 42·w² + 432·w - 8019 = 0

By graphing the above function with MS Excel, we have one of the solution is w = 9

∴ (w - 9) is a factor of w³ + 42·w² + 432·w - 8019 = 0

Dividing, we get;

w² + 51·w + 891

w³ + 42·w² + 432·w - 8019 = 0

w³ - 9·w²

     51·w² - 459·w

                 891·w

                 891·w + 8019

                             0

Therefore,

w³ + 42·w² + 432·w - 8019 = 0

w³ + 42·w² + 432·w - 8019  = (x - 9)·(w² + 51·w + 891) = 0

The determinant of the factor, w² + 51·w + 891 = 51² - 4×1×891 = -963, therefore, the it has complex roots

Therefore, the real solution of (x - 9)·(w² + 51·w + 891) = 0 is w = 9

The width of the computer compartment, w = 9 inches

The length of the computer compartment, l = 24 inches + 9 inches = 33 inches

The height of the computer compartment, h = 18 inches + 9 inches = 27 inches.

3 0
3 years ago
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