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lesantik [10]
3 years ago
12

What is the image of (-9,6) after a dilation by a scale factor of 44 centered at the origin?

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
5 0

Answer:

(- 396, 264 )

Step-by-step explanation:

Since the dilatation is centred at the origin, then multiply each of the coordinates of the point by the scale factor, that is

(- 9, 6 ) → ( (- 9 × 44 ), (6 × 44 ) ) = ( - 396, 264 )

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Product in standard form (explain)<br> (3+6i)(4+9i)
ololo11 [35]
First you have to factor (aka, multiply) your binomial (which is what you have written) usually it helps to organize your thinking, and help tell what you need to multiply, to use the binomial chicken(or crab claw, what ever you want to call it) which basically you draw two arches, one arch connecting the 3 and 4, and then the other the 3 and 9i. on the opposite side (depending on wheater you connected then from the top or bottom) you connect (with an arch) the 6i and the four, and then the 6i to the 9i.

so now you multiply each piece you've connected:
3 x 4= 12
3 x 9i= 27i 
6i x 4= 24i
6i x 9i= 54i^2 

after  you've done this you can move on to  putting it into standard form, which just means you put things in descending order, depending on how many exponents the x (or in this case i) has.
your largest exponent is 54i^2, so that's first in out equation, next 27i, and 24i (you can combine these because they are like term) which equals 51i, after that you just add the 12 on the end, so the final equation looks like this:

54i^2+51i+12


4 0
4 years ago
There are 6 girls and 8 boys invited to the party. What is the ratio of girls to boys
Ber [7]

Answer:

6:8

6/8 or 3/4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the distance CD rounded to the nearest tenth<br> C=(10,-1) and D=(-6,3)
Fynjy0 [20]

Answer:

CD = 16.5

Step-by-step explanation:

To find the distance between two points, use this formula: L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }

point C can be info set 1: (10, -1)    x₁ = 10   y₁ = -1

point D can be info set 2: (-6, 3)    x₂ = -6  y₂ = 3

Substitute the information into the formula

L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }

CD = \sqrt{(-6 -10)^{2}+(3 -(-1))^{2} }    Simplify inside each bracket

CD = \sqrt{(-16)^{2}+(4)^{2} }    Square the numbers

CD = \sqrt{256+16 }     Add inside the root

CD = \sqrt{272}    Enter into calculator

CD = 16.5  Rounded to the nearest tenth, the first decimal

The distance CD is 16.5.

4 0
3 years ago
Which number in the monomial 125x^18y^3z^25 needs to be changed to make it a perfect cube
Oksana_A [137]

Hi,

You just have to change z^25 to z^24 or z^27.

125x^{18}y^3z^{24}=(5x^6*y*z^8)^3

4 0
3 years ago
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PLEASE HELP 100 POINTS GUARANTEED! PLEASE PUT THE ANSWER IN AN ALGEBRAIC EXPRESSION!!! ANSWER ALL AND YOU WILL RECEIVE BRAINLIES
zlopas [31]

Answer:

1.

-2 = x/4 + 1

Subtract 1 from both sides:

-2 - 1 = x/4 + 1 - 1

-3 = x/4

Multiply both sides by 4:

-3 * 4 = x/4 * 4

-12 = x

2.

3x+5

3.

X= 12 or 18

This could be read two different ways.

0=2/3x-12

12=2/3x

12÷2/3=x

12*3/2=x

18=x

—-OR—-

0=2/3(x-12)

0=2/3x-8

8=2/3x

8÷2/3=x

8*3/2=x

12=x

7 0
2 years ago
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