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4 years ago

14

A collector's model race car is scaled so that 1 inch on the model equals 6 1/4 feet on the actual car. If the model is 2/3 inch

high, how high is the actual car?

1 answer:

Alchen [17]4 years ago

7 0

The hight of the real car is 4 1/6 ft.

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2. Draw the image of RST under the dilation with scale factor 2/3 and center of dilation (1,-1). Label the image RST .

professor190 [17]

Answer:

From the graph: we have the coordinates of RST i.e,

R = (2,1) , S = (2,-2) , T = (-1,-2)

Also, it is given the scale factor $\frac{2}{3}$ and center of dilation C (1,-1)

The mapping rule for the center of dilation applied for the triangle as shown below:

$(x, y) \rightarrow (\frac{2}{3}(x-1)+1, \frac{2}{3}(y+1)-1)$

or

$(x, y) \rightarrow (\frac{2}{3}x -\frac{2}{3}+1 , \frac{2}{3}y+\frac{2}{3}-1)$

or

$(x, y) \rightarrow (\frac{2}{3}x+\frac{1}{3} , \frac{2}{3}y-\frac{1}{3} )$

Now,

for R = (2,1)

the image R' = $(\frac{2}{3}(2)+\frac{1}{3} , \frac{2}{3}(1)-\frac{1}{3} )$ or

$(\frac{4}{3}+\frac{1}{3} , \frac{2}{3}-\frac{1}{3} )$

⇒ R' = $(\frac{5}{3} , \frac{1}{3})$

For S = (2, -2) ,

the image S'= $(\frac{2}{3}(2)+\frac{1}{3} , \frac{2}{3}(-2)-\frac{1}{3} )$ or

$(\frac{4}{3}+\frac{1}{3} , \frac{-4}{3}-\frac{1}{3} )$

⇒ S' = $(\frac{5}{3} , -\frac{5}{3})$

and For T = (-1, -2)

The image T' = $(\frac{2}{3}(-1)+\frac{1}{3} , \frac{2}{3}(-2)-\frac{1}{3} )$ or

$(\frac{-2}{3}+\frac{1}{3} , \frac{-4}{3}-\frac{1}{3} )$

⇒ T' = $(\frac{-1}{3} , \frac{-5}{3})$

Now, label the image of RST on the graph as shown below in the attachment:

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3 years ago

What is the answer for this question?

Savatey [412]

Answer:

A

Step-by-step explanation:

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what abiotic factor is changing the ecosystem of Lake Washington,and how has this factor changed over time.

raketka [301]

Answer:

Step-by-step explanation:

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3 years ago

What is the product of 6x + 6 and 8x?

spin [16.1K]

Answer: 56

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What is the correct answer to number 7? Please explain and break it down step by step.

a_sh-v [17]

Answer:

The answer to your question is (x + 3)

Step-by-step explanation:

$\frac{5x + 5}{x} \frac{x^{3}+ 3x^{2}}{x^{2} - 1} \frac{x - 1}{5x}$

Factor the expression

$\frac{5(x + 1)}{x} \frac{x^{2}(x + 3)}{(x - 1)(x + 1)} \frac{x - 1}{5x}$

Simplify

Cancel 5 because is in both numerator and denominator

Cancel (x + 1) because is in both numerator and denominator

Cancel (x - 1) because is in both numerator and denominator

Cancel x² because is in both numerator and denominator

After simplifying, the result is (x + 3)

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