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andre [41]
3 years ago
6

The parabola y=x^2 is reflected across the x axis and then scaled vertically by a factor of 1/8.

Mathematics
1 answer:
tekilochka [14]3 years ago
3 0

ANSWER

The new equation is:

y =  -  \frac{1}{8}  {x}^{2}

EXPLANATION

The given parabola has equation,

y =  {x}^{2}

This is the parent function.

When we reflect this parabola in the x-axis and then scaled vertically by a factor of 1/8.

The new equation becomes:

y =  -  \frac{1}{8}  {x}^{2}

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Step-by-step explanation:

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Simplify 4xy + 9x - 3y + z + xy
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4xy + 9x - 3y + z + xy

 Combine Like Terms<span>
 =<span><span><span><span><span><span>4x</span>y</span>+<span>9x</span></span>+<span>−<span>3y</span></span></span>+z</span>+<span>xy</span></span></span><span>
   =<span><span><span><span>(<span><span><span>4x</span>y</span>+<span>xy</span></span>)</span>+<span>(<span>9x</span>)</span></span>+<span>(<span>−<span>3y</span></span>)</span></span>+<span>(z)</span></span></span><span>
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Answer <span>=<span><span><span><span><span>5x</span>y</span>+<span>9x</span></span>−<span>3y</span></span>+<span>z


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6 0
3 years ago
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(x+2)(x+5) find the following products by using distributive property
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Answer:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

(

x

+

5

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(

x

+

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)

becomes:

(

x

×

x

)

+

(

x

×

2

)

+

(

5

×

x

)

+

(

5

×

2

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x

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We can now combine like terms:

x

2

+

(

2

+

5

)

x

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10

x

2

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7

x

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Step-by-step explanation:

7 0
3 years ago
On a coordinate plane, triangle A B C is shown. Point A is at (0, 0), point B is at (3, 4), and point C is at (3, 2). What is th
Elena L [17]

Answer:

The area of triangle for the given coordinates is  1.5\sqrt{4.6}

Step-by-step explanation:

Given coordinates of triangles as

A = (0,0)

B = (3,4)

C = (3,2)

So, The measure of length AB = a = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

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Or, a =  \sqrt{9+16}

Or, a =   \sqrt{25}

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The measure of length BC = b = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

Or, b = \sqrt{(3-3)^{2}+(2-4)^{2}}

Or, a =  \sqrt{0+4}

Or, b =   \sqrt{4}

∴ b = 2 unit

And

So, The measure of length CA = c = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

Or, c = \sqrt{(3-0)^{2}+(2-0)^{2}}

Or, c =  \sqrt{9+4}

Or, c =   \sqrt{13}

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Or, A = \frac{3}{2} × \sqrt{1+\sqrt{13} }

∴  Area of triangle = 1.5\sqrt{4.6}

Hence The area of triangle for the given coordinates is  1.5\sqrt{4.6}  Answer

7 0
3 years ago
Read 2 more answers
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