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Law Incorporation [45]
3 years ago
9

Find the image of the figure after a dilation with a point A as the centre by a scale factor of 0.75​

Mathematics
1 answer:
Kobotan [32]3 years ago
4 0

Answer:

Step-by-step explanation:

So the dilation of .75.

You want to find what each point is before the dilation.

A(-10,-14)

B(-10,14)

C(12,14)

D(12,-14)

So, we multiply these by the scale factor, 0.75.

(x,y) = (X x 0.75, y x 0.75)

A  = -10 x 0.75, -14 x 0.75

B= -10 x 0.75, 14 x 0.75

C = 12 x 0.75 , 14 x 0.75

D = 12 x 0.75 , -14 x 0.75

now, the image of the figure would be

A' ( -7.5, -10.5)

B' (-7.5, 10.5)

C' (9, 10.5)

D' (9, -10.5)

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One number added to three times another number is 24. Five times the first number added to three times the other number is 36. F
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Okay, so the equations would be:
x + 3y = 24
3y + 5x = 36

Imma use Substitution to solve this:
x = -3y + 24

3y + 5(-3y + 24) = 36
3y - 15y + 120 = 36
-12y + 120 = 36
-12y = -84
y = 7

x = -3(7) + 24
x = -21 + 24
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3 years ago
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Step-by-step explanation:

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3 years ago
Limit as x approaches 9 of x^2 -81/sqrt of x - 3
Ipatiy [6.2K]

Answer:

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Step-by-step explanation:

Limit as x approaches 9 of x^2 -81/sqrt of x - 3

First substitute x into the expression

= 9²-81/√9 - 3

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= 0/0 (indeterminate)

Apply l'hospital rule

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Substitute x = 9

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The observatory telescope has 22 times the magnifying power compared to the small telescope.

Data;

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<h3>Division of Numbers</h3>

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x = \frac{3300}{150}=22

The magnification of the observatory telescope is 22 times greater or larger than the small telescope.

Learn more on division of numbers here;

brainly.com/question/7068223

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