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kodGreya [7K]
3 years ago
8

What is an equation for the translation of (x – 2)2 + (y + 1)2  = 16  by 3 units left

Mathematics
1 answer:
Akimi4 [234]3 years ago
6 0
Answer: ( x + 1)² + (y - 4)² = 16

Explanation:

1) The given equation,  ( x - 2)² + (y + 1)² = 16, represents a circumference with center (2,-1) and radius √16 = 4.

1) The translation will not modify the radius of the circunference, siince translations are rigid transformations.

2) The translation 3 units to the left and 5 units upward certainly will move the center of the circunference.

This is how:

(x,y) → (x - 3, y + 5)

(2, -1) → (2 - 3, - 1 + 5) = (- 1, 4)

3) Then, keeping the same radius and being the center (-1,4), the equation of the circumference after the translation will be:

( x + 1)² + (y - 4)² = 16 ← answer


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Answer: B. (2,2)

Step-by-step explanation:

The vertex of the parabola in the form (x-h)^2 = 4p(y-k) is (h, k).

7 0
1 year ago
Two number are in the ratio 5:6 and their sum is 44 .Use z as variable
Mariulka [41]

Answer:

the numbers are 20 and 24

Step-by-step explanation:

The numbers are in the ratio 5 : 6 = 5z : 6z , where z is a multiplier

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Hence

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8 0
3 years ago
Read 2 more answers
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Rus_ich [418]

Answer:

5 + 7x \le 33

Step-by-step explanation:

Given

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Required

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3 0
3 years ago
Is 4/5 less than greater than or equal to 3/4
ryzh [129]
4/5=0.8
3/4=.75
So, 4/5 is greater than 3/4
Hope this helped

8 0
3 years ago
Read 2 more answers
Which of these equations have no solution? Check all that apply.
dlinn [17]
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Same applies to the second equation  ( 5x + 15 = 5x - 15) No solution

also the last one has no solution because it simplifies to  4x + 20 = 4x + 19
6 0
3 years ago
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