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3 years ago

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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Solve for x in simplest form. 9=8/5(x+5)

Natasha_Volkova [10]

Answer:

5/8 =x

Step-by-step explanation:

9=8/5(x+5)

Multiply each side by 5

5* 9=5*8/5(x+5)

45 = 8(x+5)

Distribute

45 = 8x+40

Subtract 40 from each side

45-40 = 8x+40-40

5 = 8x

Divide each side by 8

5/8 = 8x/8

5/8 =x

3 0

3 years ago

The weekly sales of Honolulu Red Oranges is given by q = 896 − 20p.(A) Calculate the price elasticity of demand when the price i

vitfil [10]

Answer with Step-by-step explanation:

Since we have given that

q = 896-20p

p = $32

.(A) Calculate the price elasticity of demand

As we know that

$e=-\dfrac{dq}{dp}\times \dfrac{p}{q}\\\\e=-(-20)\times \dfrac{32}{896-20p}\\\\e=\dfrac{20\times 32}{896-20p}\\\\e=\dfrac{640}{896-20p}\\\\e=\dfrac{640}{896-640}\\\\e=\dfrac{640}{256}=2.5$

(B) The demand is going down with increase in 15 increase in price at that price level, as we know that there is inverse relationship between price and quantity demanded.

(C) Also, calculate the price that gives a maximum weekly revenue.

$R=pq\\\\R=p(896-20p)\\\\R=896p-20p^2$