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3 years ago

AB = x + 2

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

3 0

Answer:

AB = 7, DC = 7, AD = 5, BC = 5

Step-by-step explanation:

If you set AB equal to DC you get:

x+2=12-x

2x=10

x=5

If you set AD equal to BC you get:

2y-5=Y

y=5

Solve for each side of the quadrilateral and you get:

AB = 7, DC = 7, AD = 5, BC = 5

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3 years ago

The function h(x)=4/3x-1 represents the composite h(x)=f(g(x)).if f(x)=2x-1,what is g(x)

Hunter-Best [27]

Answer:

$g( x) = \frac{2}{3}x$

Step-by-step explanation:

Given:

Composite Function:

$h( x)=f( g( x))$

Also,

$h( x)=\frac{4}{3}x-1$

To find:

$g( x ) = ?$

Solution:

First of all, let us learn about a composite function.

Composite function $f( g( x))$ means to write $g( x)$ in place of $x$ in the function $f( x)$ .

Let $g( x) = y$

So, $f( g( x))$ = $f( y )$ .

Therefore,

$h( x) =f( g( x)) = f( y)$

So, $f( y) = 2y-1$

We have to solve for $y$ in terms of $x$ to find the value of $g(x)$ :

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Hence, the answer is $g( x ) = \frac{2}{3}x$ .

Checking whether the answer is correct or not:

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which is $h( x)$ .

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3 years ago

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2 years ago

Write g(x) = 4x2 + 88x in vertex form. The function written in vertex form is g(x) = (x +11)2 + .

romanna [79]

Answer:

y = 4(x + 11)² - 484

Step-by-step explanation:

y = 4x² + 88x

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y = 4(x² + 22x)

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y + ? = 4(x² + 22x + ?)

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add 4 • 121 to the left side

y + 4 • 121 = 4(x² + 22x + 121)

multiply

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subtract both sides by 484

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3 years ago

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