What would be the value of x please help

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

7 0

9514 1404 393

Answer:

x = 7

Step-by-step explanation:

The segment marked 6x is the midline of the triangle, so is half the length of the base.

6x = 1/2(84)

x = 42/6 = 7

The value of x is 7.

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The function f(x) = x2. The graph of g(x) is f(x) translated to the right 3 units and down 3 units. What is the function rule fo

Kaylis [27]

The rule for g(x) is: $f(x) = (x-3)^2-3$

Step-by-step explanation:

Given function is:

$f(x) = x^2$

When a function f(x) is shifted right or left, b units the new function is written as:

$f(x) = x$

Shifting right

$g(x) = f(x-b)$

Shifting left

$g(x) = f(x+b)$

Similarly, when shifting up or down

$g(x) = f(x)+b => Up\\g(x) = f(x) - b => Down$

As our given function is shifted 3 units to the right, it will be written as:

$f(x) = (x-3)^2$

The function is when moved down 3 units, then

$f(x) = (x-3)^2-3$

Hence

The rule for g(x) is: $f(x) = (x-3)^2-3$

Keywords: Function transformation, Functions

Learn more about functions at:

#LearnwithBrainly

5 0

3 years ago

2(x+1)=3x-x+2 help fast and show work please

Stells [14]

Answer:

0=0

Step-by-step explanation:

$2(x+1)=3x-x+2\\\\\mathrm{Add\:similar\:elements:}\:3x-x=2x\\2\left(x+1\right)=2x+2\\\\\mathrm{Expand\:}2\left(x+1\right):\quad 2x+2\\2x+2=2x+2\\\\\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\2x+2-2=2x+2-2\\\\Simplify\\2x=2x\\\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\2x-2x=2x-2x\\\\Simplify\\0=0\\\\\mathrm{True\:for\:all}\:x$