The square root of 128 times r to the power or three

On a coordinate plane, quadrilateral Q R S T has points (0, 2), (negative 4, 0), (0, negative 3), and (4, 0).

Afina-wow [57]

By applying the definitions of rigid transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).

<h3>How to apply rigid transformations on a point</h3>

Herein we must apply a rigid transformation into a given point to determine an image. Rigid transformations are transformations applied on a geometric locus such that Euclidean distance is conserved. Dilations are a kind of rigid transformations such that:

(x, y) → (k · x, k · y), for k > 0

If we know that Q(x, y) = (0, 2) and k = 0.5, then the coordinates of Q' are:

Q'(x, y) = (0.5 · 0, 0.5 · 2)

Q'(x, y) = (0, 1)

By applying the definitions of rigid transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).

To learn more on dilations: brainly.com/question/13176891

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8 0

2 years ago

Shani borrowed $5000 at an annual interest rate of 4% compounded yearly. William borrowed the same amount of money at an annual

Natalka [10]

Answer: William will pay $ 330.76 more interest than Shani at the end of 3 years.

Step-by-step explanation:

Compound interest = $P((1+r)^t-1)$ , P= principal , r= rate of interest , t= time

Given: P = $5000 , t= 3 years

For Shani , r= 4% = 0.04

Compound interest = $5000((1+0.04)^3-1)$

$=5000(1.124864-1)\\\\=5000(0.124864)\\\\=\$\ 624.32$

For William, r= 6%= 0.06

Compound interest = $5000((1+0.06)^3-1)$

$=5000(1.191016-1)\\\\=5000(0.191016)\\\\=\$\ 955.08$

Difference = $ ( 955.08- 624.32)

= $ 330.76

Hence, William will pay $ 330.76 more interest than Shani at the end of 3 years.

6 0

3 years ago

EMERGENCY Add using the number line.

kumpel [21]

The Answer is -3 it would be easier to use a calculator for that than this

3 0

3 years ago

Help me please don't know

dem82 [27]

1. 5 x 5
2. 7 x 28
3. 90 divided by 70
4. 40 divided by 5.
Hope this helps. #I'm11

8 0

3 years ago

You buy five books that are equal in

Georgia [21]

Answer:

5x+8=26.50

Step-by-step explanation:

Because the books are equal in price, we can use x to represent the price of the books and 5 to represent the amount, so it would be written as 5x. Then we add 8 because that's the price of the one DVD. It tells the total is 26.50, so the full equation written would be 5x+8=26.50

4 0

2 years ago

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The square root of 128 times r to the power or three​

The square root of 128 times r to the power or three