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Sliva [168]
4 years ago
13

A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was

4:1, how many homework problems did she have total?​
Mathematics
1 answer:
Svetach [21]4 years ago
6 0

Answer:10 total

Step-by-step explanation:

4:1 is = to 8:2, so 8 done plus 2 left = 10

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Circle A has center (0, 0) and radius 3. Circle B has center (-5, 0) and radius 1. What sequence of transformations could be use
Dmitrij [34]

A translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) with a scale factor of 1 / 3 are necessary to transform circle A into circle B. (Correct choice: D)

<h3>What sequence of rigid transformations can be done on a circle</h3>

In this problem we must determine the sequence of transformations require to transform circle A into circle B. From analytical geometry we know that the equation of the circle in standard form is:

(x - h)² + (y - k)² = r²

Where:

  • (h, k) - Coordinates of the center.
  • r - Radius of the circle.

Then, we need to apply the following rigid transformations:

Translation

f(x, y) → f(x - h, y - k), where (h, k) is the translation vector.

Dilation with center at the center of the circle

r → k · r, where k is the scale factor.

The circle A is represented by x² + y² = 3, then we derive the expression for the circle B:

f(x, y) → f(x + 5, y - 2)

(x + 5)² + (y - 2)² = 9

r → k · r

(x + 5)² + (y - 2)² = (1 / 3)² · 9

(x + 5)² + (y - 2)² = 1

Then, a translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) are necessary to transform circle A into circle B.

To learn more on rigid transformations: brainly.com/question/28004150

#SPJ1

8 0
1 year ago
A. Trong mặt phẳng Oxy , phép quay mỗi vector quanh gốc tọa độ một góc α ngược chiều kim đồng hồ là một ánh xạ tuyến tính . Hãy
AveGali [126]

Answer:

a

Step-by-step explanation:

3 0
3 years ago
What is the inverse of f(x)= cube root of x +2.
DiKsa [7]
F(x)=\sqrt[3]{x+2}
to solve for the inverse of a function you do 4 steps:
1. subsitute f(x) with y
2. switch y and x places
3. solve for y
4. subsitute y with f⁻¹(x)

so we have
f(x)=\sqrt[3]{x+2}
subsitute f(x) with y
y=\sqrt[3]{x+2}
switch x and y
x=\sqrt[3]{y+2}
solve for y

x=\sqrt[3]{y+2}
cube both sides
x^{3}=y+2
subtract 2 from both sides
x^{3}-2=y

subsitute y with f⁻¹(x)
f⁻¹(x)=x^{3}-2



the answer is f⁻¹(x)=x^{3}-2



8 0
4 years ago
What if the snake was 15 inches it makes a circle 5 times how many inches is each circle
lianna [129]
The snake is 75 in hope this helps
6 0
3 years ago
Read 2 more answers
5xy-x2t+2xy+3x2t asap
wel
Simplified answer is: 7xy+4tx
4 0
3 years ago
Read 2 more answers
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