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

Mathematics

1 answer:

Marianna [84]2 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:)

You might be interested in

What is the value of 9 + 27 ÷ 3 – 3? A. 0 B. 9 C. 15 D. 36

igomit [66]

The answer is C multiply and divide to left to right

8 0

2 years ago

Read 2 more answers

What is the volume of the composite figure shown? (Use 3.14 for π.)

Nimfa-mama [501]

$The\ volume\ of\ the\ cone:V_1=\frac{1}{3}\pi r^2 H\\(r-a\ radius;\ H-height)\\------------------\\r=7ft;\ H=7ft\\\\V_1=\frac{1}{3}\pi\cdot7^2\cdot7=\frac{1}{3}\pi\cdot343=\frac{343}{3}\pi\ (ft^2)\\-------------------\\The\ volume\ of\ the\ cylinder:V_2=\pi r^2 H\\(r-a\ radius;\ H-height)\\-------------------\\r=7ft;\ H=6ft\\\\V_2=\pi\cdot7^2\cdot6=294\pi\ (ft^3)\\------------------------\\The\ volume\ of\ the\ composite\ figure: V_F=V_1+V_2$

$V_F=\frac{343}{3}\pi+294\pi=\frac{343}{3}\pi+\frac{294\cdot3}{3}\pi=\frac{343}{3}\pi+\frac{882}{3}\pi=\boxed{\frac{1225}{3}\pi\ (ft^3)}\\\\\approx\frac{1225}{3}\cdot3.14}=\frac{3846.5}{3}\approx\boxed{1,282.17\ (ft^3)}\leftarrow answer$

7 0

2 years ago

The difference between a number and seven is less than or equal to -3

Scorpion4ik [409]

X-7 < -3
Remember that the less than or equal to has a line underneath it!

6 0

2 years ago

Read 2 more answers

The price of Stock A at 9 AM. was $13.38. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the

Sonbull [250]

Answer:

2 2/15 hours from noon the stock prices will be the same.

Step-by-step explanation:

Sorry if it's incorrect.

3 0

2 years ago

What is 76.78 rounded to the nearest whole number?

galben [10]

Lets look at the number. 76.78. In each of the different place holders the number is higher than 5. Lets do some examples. 74 rounded to the nearest whole number is going to be 70. 76 rounded to the whole number will be 80. The .78 in your question also contributes.

Answer: 80

6 0

2 years ago

Read 2 more answers