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4 years ago

A polygon has sides 3x-1, 2x+2, 7x-3 and 3x. what's the perimeter

Mathematics

1 answer:

miss Akunina [59]4 years ago

6 0

The perimeter of a polygon is the sum of lengths of sides.

P = (3x - 1) + (2x + 2) + (7x - 3) + 3x

combine like terms

P = (3x + 2x + 7x + 3x) + (-1 + 2 - 3) = 15x - 2

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PLEASE HELPPP

Y_Kistochka [10]

The function $f(x)=(x-2)^3+8$ is one-to-one and the inverse of $f(x)$ is $f^{-1} (x)=(x-8)^\frac{1}{3}+2$ .

A function is one-to-one if for $f(a)=f(b)$ , we show that $a=b$ .

$f(a)=(a-2)^3+8$

$f(b)=(b-2)^3+8$

Take $f(a)=f(b)$

$(a-2)^3+8=(b-2)^3+8$

$(a-2)^3=(b-2)^3$

Let $A=a-2$ and $B=b-2$

If $A^3=B^3$ , then $A=B$ .

So, $a-2=b-2$

$a=b$ .

So, the function is one-to-one.

For the inverse of $f(x)$ , replace $x$ with $y$ and solve for $y$ .

$x=(y-2)^3+8$

$(y-2)^3=x-8$

$y-2=(x-8)^\frac{1}{3}$

$y=(x-8)^\frac{1}{3}+2$

So, the inverse of $f(x)$ is $y=(x-8)^\frac{1}{3}+2$ .

Learn more about and inverse of a function here:

brainly.com/question/2541698?referrer=searchResults

5 0

2 years ago

In the equation,y=5x -12, what is the slope

mote1985 [20]

Answer:

Step-by-step explanation:

Slope is the number by "x"

4 0

3 years ago

Dena is biking down a 7/8 mile bike trail. She stops to greet a friend after biking 3/8 of a mile. How much farther does she nee

Anon25 [30]

The denominator is the same you you just have to do 7-3=4 so 4/7 of a mile left

3 0

3 years ago

A space shuttle orbits Earth at a speed of 21,000 km/hr. How far will it travel in 5 hours?

tresset_1 [31]

21,000*5
since it travels 21,000 per hour and there is five hours. it's just simple substitution.
105,000 is the correct answer.

7 0

3 years ago

Read 2 more answers

Write the equation of the line passing through point (3,5) with the slope of 2/3

inna [77]

Answer: y = 2/3x + 3

Step-by-step explanation:

To write the equation in y = mx + b, or slope-intercept form, we first need to find the y-intercept.

To do that, we will need to plug our numbers into y = mx + b. y is the y-coordinate, m is the slope, x is the x-coordinate, and b is the y-intercept.

It should look something like this:

5 = 2/3(3) + b

Now we simplify.

5 = 2 + b

Subtract 2 from both sides.

5 - 2 = 2 - 2 + b

Simplify.

3 = b

Our y-intercept is 3.

Now, we can form our equation

y = 2/3x + 3

3 0

3 years ago

Read 2 more answers