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Talja [164]
3 years ago
5

Write an equation for the translation of y = |x|. 15.5 units down

Mathematics
2 answers:
andrey2020 [161]3 years ago
6 0
Than you consider the axes coordinates and try this for x=0 what mean origin so this 15,5 units down mean that y coordinate point will be -15,5 from what result that the first one choice is right sure 

A. y = IxI -15,5
expeople1 [14]3 years ago
3 0

Answer:

Option A is correct

y =|x| -15.5

Step-by-step explanation:

Vertically down:

To  translate the absolute parent function y=f(x) vertically, the new function we get;

g(x) = f(x) + k

when k < 0 , the function is vertically down

when k > 0, then the function is vertically up

Given the function:

The translation of y = |x|

To do vertically down with 15.5

Use the above definition we have;

y =|x| -15.5

Therefore,  an equation for the translation of y = |x|, with 15.5 units down

is, y =|x| -15.5

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Find the center and radius of the circle whose equation is x 2 + y 2 + 10x − 1
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we conclude that the center of the circle is the point (-5, 0).

<h3>How to find the center of the circle equation?</h3>

The equation of a circle with a center (a, b) and a radius R is given by:

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Here we are given the equation:

x^2 + y^2 + 10x - 1 = 0

Completing squares, we get:

x^2 + 10x + y^2 = 1

Now we can add and subtract 25 to get:

x^2 + 10x + 25 - 25 + y^2 = 1\\\\(x + 5)^2 -25 + y^2 = 1\\\\(x + 5)^2 + (y - 0)^2 = 26

Comparing that with the general circle equation, we conclude that the center of the circle is the point (-5, 0).

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3 0
2 years ago
An expression equivalent to 3n+2(1-4n)
Taya2010 [7]
A simplified equation would be 2-5n.
6 0
3 years ago
Mrs.Benton selects one student’s work to display on a bulletin board each week. Each student’s name is placed in a bag from whic
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Answer:

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Step-by-step explanation:

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Hope this helps!

4 0
3 years ago
Jackie follow the steps to elevate the expression 15 - (37 + 8) divide 3 37 + 8 = 45 45-15= 30 30 divided by 3 = 10 Mark looks a
damaskus [11]

Answer:

So, we conclude that Mark is right.

Step-by-step explanation:

If we have the following expression: 15 - (37 + 8) : 3.

We will first divide the value we get in parentheses and then subtract it.

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15-(37+8):3=15-45:3=15-15=0

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3 years ago
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