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jonny [76]
3 years ago
12

find the coordinates of A' after a reflection across the y-axis and then across the line y = -2. write your answer in the form (

a, b). ​

Mathematics
1 answer:
vodka [1.7K]3 years ago
6 0

Answer:

(3,1)

Step-by-step explanation:

When a point is reflected across the y axis, the sign of its x coordinate flips. Since point A is at (-3,-5), when it is reflected across the y axis its new position will be (3,-5). Now, point A is 3 units from the line y=-2, meaning that when it is reflected across it will be 3 units away from the other direction. (-2+(3))=1, meaning that the final coordinates of point A are (3,1). Hope this helps!

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B. An essay about the rise and fall of the Roman Empire
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Need help with this math question
anastassius [24]

Answer:

The vertex is: (6, 8)

Step-by-step explanation:

First solve the equation for the variable y

x^2-4y-12x+68=0

Add 4y on both sides of the equation

4y=x^2-4y+4y-12x+68

4y=x^2-12x+68

Notice that now the equation has the general form of a parabola

ax^2 +bx +c

In this case

a=1\\b=-12\\c=68

Add (\frac{b}{2}) ^ 2 and subtract (\frac{b}{2}) ^ 2 on the right side of the equation

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4y=(x^2-12x+36)-36+68

Factor the expression that is inside the parentheses

4y=(x-6)^2+32

Divide both sides of the equality between 4

\frac{4}{4}y=\frac{1}{4}(x-6)^2+\frac{32}{4}

y=\frac{1}{4}(x-6)^2+8

For an equation of the form

y=a(x-h)^2 +k

the vertex is: (h, k)

In this case

h=6\\k =8

the vertex is: (6, 8)

5 0
3 years ago
Hey, Could any of you provide me a step by step explanation as to how you get to the answer?
sukhopar [10]

Answer:

Step-by-step explanation:

First start by finding the values of the numbers being multiplied together.

5^-2 = 25

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\sqrt[3]{8} = 2

This is asking what x what x what equals eight. Remembering that the square root of 4 is 2. We can determine that since 4 x 2 = 8 the cube root of 8 is 2.

2 x 2 x 2 = 8 and 8 divided by 2 divided by 2 = 2

So now solve the equation we have now. 25 x 2 =?

25 x 2 = 50

And 50 is our answer.

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3 years ago
Hey! Could I get a lil bit of help? (10 points)
GrogVix [38]

Answer:

<em>Neither A nor B</em>

Step-by-step explanation:

Neither set of order pairs represent a function, because none of the points have a correlating function throughout them.

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PICTURE PLEASE HELP.
aksik [14]
By pythagorean theorem

a^2+b^2=c^2

We can find that PL is 12.65

and then by altitude theorem

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then by the pythagorean theorem

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then to find the are you multiply length by width

PM*PL

12.65*4.22

So the area is 53.38
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