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3 years ago

Rectangle RSTU undergoes a dilation centered at the origin. The result is rectangle R'S'T'U'. Which rule describes the dilation?

Mathematics

2 answers:

Elena L [17]3 years ago

4 0

Answer:

The rule is as follows:

x'=5*x

y'=5*y

Step-by-step explanation:

Each coordinate gets scaled by a factor of 5.

For example:

R(-2,0) --> R'(-10,0) [-2-->5*(-2), 0-->0]

and similarly with the other points S, T, and U

Paul [167]3 years ago

4 0

Answer:

(x, y) → (5x, 5y)

Step-by-step explanation:

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To find arc WY:
360 - 156 - 86
arc WY = 118

To find angle WXY
118 / 2 = 59 degrees

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2 years ago

Nikita invests $2,000 into a bank account with a 4% annual interest rate. In seven years, which is the most expensive item she c

Stella [2.4K]

Answer:

Anything that does not cost more than $2,560.00

Step-by-step explanation:

Provided that Nikita is spending money that she had invested and the amount she collected over the period of 7 years. She can buy any item that costs no more than $2,560.00 but how?

It is a problem of simple interest:

Here the principal amount (P) = $2,000.00

Interest rate (r) = 4%

Time period (t) = 7 years

So, total amount that she would get by the end of 7 years is:

$A=P+SI$

$SI=\frac{P\times r\times t}{100}$

Plugging the values we get:

$SI=\frac{2000\times 4\times 7}{100}=560.00$

So the interest collected over 7 years is $560.00

Therefore, the total amount after 7 years is:

$\$2000.00+\$560.00=\$2,560.00$

If Nikita is using this money then the most expensive item that she could buy will cost no more than $2,560.00.

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3 years ago

Write an equation in slop intercept form (y=mx+b) for the line that has a slope (m) of 12 and passes though the point (3,20)

navik [9.2K]

Answer:

y=12x-4

Step-by-step explanation:

To find the slope intercept form, we know the m(slope) but we need to find b.

y and x is given to us, so we can find b.

Plug in the numbers provided into the slope intercept form.

y=mx+b

20=(12)(2)+b

20=24+b

To find b, we have to get b by itself. So, we subtract both sides by 24.

-4=b

Now that we found b, we can plug this into the equation.

y=12x-4

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2 years ago

Jeremiah is working on a model bridge. He needs to create triangular components, and he plans to use toothpicks. He finds three

icang [17]

Answer: No

Step-by-step explanation:

According to triangle inequality theorem which state that: the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Now let's test the given parameters if they obey this theorem

4 inches, 5 inches and 1 inch

4 + 5 = 9

9 > 1 correct

5 + 1 = 6

6 > 4 correct

4 + 1 = 5

5 not > 5 wrong

Therefore he won't be able to create the triangular component with these toothpicks without modifying any of the lengths

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3 years ago

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A choreographer uses a number line to position dancers for a ballet. Dancers A and B

kenny6666 [7]

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2 years ago

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