Which of the following statements is false?

A polygon has vertices A(1,1), B(1, 4), C(4, 4). This figure is dilated by a factor of 3 and center of dilation (-1, 4). Find th

Art [367]

Answer:

Step-by-step explanation:

New coordinate = [old coordinate - dilation center]* scale factor + dilation center

So,

For A(1,1)

$[(1,1)-(-1,4)]*3+(-1,4)\\(2,-3)*3+(-1,4)\\(6,-9)+(-1,4)\\(5,-5)$

For B(1,4)

$[(1,4)-(-1,4)]*3+(-1,4)\\(2,0)*3+(-1,4)\\(6,0)+(-1,4)\\(5,4)$

For C(4,4)

$[(4,4)-(-1,4)]*3+(-1,4)\\(5,0)*3+(-1,4)\\(15,0)+(-1,4)\\(14,0)$

Therefore these (5,-5) , (5,4) and (14,0) are the new coordinates of polygon after dilation.

5 0

3 years ago

Solve each system by elimination.

strojnjashka [21]

Answer:

y = -1, x = -2

Step-by-step explanation:

First, multiply the top equation by 2 to make 3x become 6x:

6x - 8y = -4

Second, multiply the bottom equation by 3 to make -2x become -6x:

9y - 6x = 3

Add the two equations together, and you get:

y = -1

Plug in y as -1 into the first or second equation:

3x - 4(-1) = -2

OR

3(-1) - 2x = 1

x = -2

5 0

3 years ago

What is the surface area?

mash [69]

$\large\bf{\underline{Answer:}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{ = 3000 \:ft^2}$

__________________________________________

$\large\bf{\underline{Given:}}$

A 3 dimensional figure with 5 sides
it has 3 rectangles with dimensions 28 ft and 25 ft
And 2 triangles with base =30 ft and height = 20 ft

$\large\bf{\underline{To\: find:}}$

Total surface area of figure

$\large\bf{\underline{Therefore:}}$

$\bf{area \:of\: figure}$

‎ㅤ ${\bf = area \:of \:3\: rectangles + 2 \: triangles}$

$\large\bf{\underline{Formulas:}}$

$\boxed{\bf\pink{area\:of\: triangle= \frac{1}{2}\times base\times height}}$

$\boxed{\bf\pink{area\:of\: rectangle=length\times breadth}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{= 3\times (28 \times 25 )+ 2(\frac{1}{2} \times 30 \times 20)}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{= 3 \times 800 + 2 \times 300}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{=2400+ 600}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{= 3000}$

__________________________________________

$\large\bf{\underline{Hence,}}$

❒ Area of given figure

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\huge\mathfrak{= 3000\: ft^2}$

5 0

3 years ago

merlin worked these hours during the week: 4.5, 8.75, 9.5, 9, and 4.25 hours. what was his gross pay for the week, if he makes $

Usimov [2.4K]

Hello,

as 4.5+8.75+9.5+9+4.25=36 and 36*9.78=352.08

King'Arthur must pay him $352.08

5 0

3 years ago

Read 2 more answers

Aaron has three slabs of beeswax. He plans to melt them and use all of the wax to form 36 candles. If all the candles are the sa

Anton [14]

Weight of slab of beeswax isn't given.

Assume slab of beeswax = 36 gram.

Answer:

3 gram

Step-by-step explanation:

Each slab of beeswax = 36 gram

Total weight of all 3 slabs = (3 * 36) = 108 g

Number of same-sized candles to make = 36

The weight of each candle will be ;

Total weight of slabs / number of candles

108 g / 36

= 3 grams

8 0

3 years ago