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kodGreya [7K]
2 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]2 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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A rope 13 meters long will just reach from the top of a flagpole to a point on the ground 12 meters from teh base of the flagpol
goldfiish [28.3K]

Answer:

the height of the flagpole is 5 meters

Step-by-step explanation:

The computation of the height of the flagpole is given below

Given that

the length of the rope is 13 meters

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3 years ago
G = x-c/x solve for x
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Answer:

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Step-by-step explanation:

Step 1: Multiply both sides by x,

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Step 3: Factor out variable x.

x(g−1)=−c

Step 4: Divide both sides by g-1.

\frac{x(g-1)}{g-1} =\frac{-c}{g-1\\}

x=\frac{c}{1-g}

Hope this helps!

5 0
3 years ago
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Which of the following could be the equation for a parabola that opens down with the vertex (-11,-28)?
Mekhanik [1.2K]

Answer:y=-5(x+11)^2 -28

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First, the problem states that the parabola opens DOWN. This means that you should look for a negative leading coefficient. This narrows your options down to C or D. (-5 is the leading coefficient)

Now starting with the x2, the vertex would be at (0,0), but in this problem it is at (-11,-28). That means it was TRANSLATED 11 spots in the negative x-direction and 28 spots in the negative y-direction.

Look at your options, when a number is being added directly unto the x variable, such as in answer C, it moves in the negative x-direction. This tells you that C has to be your answer.

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How many times can 256 go into 495​
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Answer:

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