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Nina [5.8K]
3 years ago
15

What the algebraic rule for a dilation with a scale factor of 3

Mathematics
1 answer:
Marianna [84]3 years ago
7 0

Step-by-step explanation & answer:

When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor.

For example, if the scale factor is "k", the algebraic representation of the dilation is

(x, y) → (kx, ky)

For enlargements, k > 1 and for reductions, k < 1.

Hope this is what you needed:)

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A graph of a linear function is shown on the grid. Which of these best represents 0 of the function? A 8. B 10. C 16. D 24.
harina [27]

answer:

C. 16

explanation:

when x is 0, the y-intercept is 8

coordinates: (0,8) and (4,6)

slope:

\sf \frac{y2-y1}{x2-x1}

\sf \frac{6-8}{4-0}

\sf \frac{-2}{4}

\sf -\frac{1}{2}

equation:

\sf y = mx +b    [ where m is slope and b is y-intercept ]

y = \sf -\frac{1}{2}x +8

solve for x-intercept:

note: zeros of a function are the values of x when f(x) is equal to 0

y = \sf -\frac{1}{2}x +8

0= \sf -\frac{1}{2}x +8

-8= \sf -\frac{1}{2}x

\sf x = -8 * -2

\sf x = 16

3 0
2 years ago
Read 2 more answers
Please help<br> See the picture <br> Twst
erik [133]

Answer:

7

Step-by-step explanation:

1. Use sine law to solve

3/sin35 = x/sin55

3sin55/sin35 = 7

6 0
3 years ago
Subtract 2x^2-3xy+4y^2 from 3x^2-5xy-6y^2
Diano4ka-milaya [45]

Answer:

-x^{2} +2xy+10y^{2}

Step-by-step explanation:

2x^2-3xy+4y^2-(3x^2-5xy-6y^2)\\2x^2-3xy+4y^2-3x^2+5xy+6y^2\\-x^{2} +2xy+10y^{2}

8 0
3 years ago
One afternoon, 27 people withdraw $100 from an ATM. What was the overall change in the amount of money in the machine?​
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Answer:

The change is a decrease of $2700.

Step-by-step explanation:

Given

Total Number of people = 27

Amount each person withdrew = $100

The total withdrawn amount by 27 people = 100 × 27

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Let M be the amount of money in the ATM at the beginning.

As $2700 was drawn from the ATM, therefore, the change the amount of money in the machine will be:

  • M - 2700

It means the change is a decrease of $2700.

3 0
3 years ago
A new type of pump can drain a certain pool in 3 hours. An older pump can drain the pool in 9 hours. How long will it take both
ale4655 [162]

Answer: Together the pool can be drained in 2 hours and 18 minutes.

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3 years ago
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