Find the area of the figure shown below and choose the appropriate result.

A. 96 mm^2
B. 102 mm^2
C. 90 mm^2
D. 140 mm^2

Answer:

Step-by-step explanation:

Given

Simplify

Compare left and right sides and

Find b:

Find c:

Find a:

Find d:

Solution is:

Answer:

For f(x) =  x^2 - 2x + 1, the inverse is g(x) = √x + 1

For f(x) = 2 - 5*x the inverse is g(x) = (2 - x)/5

For f(x) =  5*(x - 2) the inverse is g(x) = x*(1/5) + 2

for f(x) = (x - 2)^2 - 1 the inverse is g(x) = √(x + 1) + 2

Step-by-step explanation:

If we have two functions f(x) and g(x) such that these functions are inverse, then we have:

f( g(x)) = x

and

g( f(x)) = x

Let's start with the function:

f(x) = x^2 - 2x + 1

Notice that we can rewrite this as:

f(x) = x^2 - 2*x + 1 = (x - 1)^2

Because this is a quadratic function, the inverse function needs to have a square root, then the inverse function can be the third or fourth one.

Let's try with the last one:

g(x) = √x + 1

Then:

f( g(x)) = ( √x + 1 - 1)^2 = (√x )^2 = x

g( f(x)) = √(x - 1)^2 + 1 = (x - 1) + 1 = x

Then for the function:

f(x) = x^2 - 2x + 1, the inverse is: g(x) = √x + 1

Now let's find the inverse for the second function:

f(x) = 2 - 5*x

The inverse of this function will be also a linear function, and the slope of the inverse will be the inverse of this slope, then the inverse may be the first or second options.

Let's try with:

g(x) = (1/5)*x - 2

Then:

f( g(x) ) = 2 - 5*((1/5)*x - 2) = 2 - x + 10

Then this g(x) is not the inverse of the function.

Let's try with g(x) = (2 - x)/5

Then:

f( g(x)) = 2 - 5*(2 - x)/5 = 2 - 2 + x = x

g( f(x)) =  (2 - 2 - 5*x)/5 = 5*x/5 = x

For the function f(x) = 5*(x - 2)

The inverse should be the remaining linear function:

g(x) = x*(1/5) + 2

Then:

f( g(x)) = 5*(x*(1/5) + 2 - 2) = 5*x*(1/5) = x

g( f(x)) = (5*(x - 2) )*(1/5) + 2 = (x - 2) +2 = x

For the last function, f(x) = (x - 2)^2 - 1

The inverse function will be:

g(x) = √(x + 1) + 2

The compositions are:

f( g(x)) = (√(x + 1) + 2 - 2)^2 - 1 = (√(x + 1))^2 - 1 = (x + 1) - 1 = x

g(f(x)) = √((x - 2)^2 - 1 + 1) + 2 = √((x - 2)^2 + 2 = x

Answer:

PLATO ANSWER

Step-by-step explanation:

Answer:

1325 divided by 13 is 101.92 rounded to the nearest hundredth

Step-by-step explanation:

I'm not sure what the question is asking though.

Answer:

It is not an "integer" because it is a "decimal value".

It is not "irrational" because the decimal value terminates and does not repeat.

Answer:

17.3

Step-by-step explanation:

[tex](2 \sqrt{3}) \times 5 = 17.3[/tex]

Answer:

the photo below

Answer:

2.32 · 10^9 = 2,320,000,000.

2.32 · 10^8 = 232,000,000.

4.31 · 10^-13 = 0.000000000000431​

4.31 · 10^-6 = 0.00000431

Answer:

45

The scale factor is 9

So, 5 x 9 = 45

Answer:

Step-by-step explanation:

Start earning $78/hourly for working online from your home for few hours each day... Get regular payment on a weekly basis... All you need is a computer, internet connection and a little free time..... Read more here... www.Nifty2.com

Answer:

all except C.

Step-by-step explanation:

Answer: A AND C IT SHOULD BE A BECAUSE IF YOU LOOK AT THE %

Answer: 60.13 USD

Step-by-step explanation: 0.859 x 70 = 60.13

Answer:

12 inches

Step-by-step explanation:

The formula for a trapezoid is

A = 1/2(a +b)h

The formula to find the height =

h = 2A/a + b

A= 216 in²

a =14 in

b = 22 in

Hence,

h = 2 × 216/14 + 22

h = 12 inches

The height of the trapezoid = 12 inches

Answer:

for the whole month $75.00 for each day around $2.60

Step-by-step explanation:

$100-$25=$75

$75÷29=$2.60 (rounded)

full number is $2.586206896551724

Can I please have Brainliest?

Answer:

850

Step-by-step explanation:

Price x .30 (100%-70%)=sales price

price x .30 = 255

price = 255/.30

price = 850

Answer:

irrational

Step-by-step explanation:

reason

[tex] - \frac{5}{52} [/tex]

Answer:

1. >

2,<

3.<

4.>

5,>

6.<

7.>

8.>

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

6x -4(3x-5) = 2

6x - 12x + 20 = 2

-6x = 2 - 20

-6x = -18

x = 3

Answer:

-18r + 27s

Step-by-step explanation:

You would multiply 2r and -3s by -9.

Answer:

B) 8.5

Step-by-step explanation:

[tex]8+10+6+4+12+6+8+14=68\\\\\frac{68}{8} =\boxed{8.5}[/tex]

Option B should be the correct answer.

Hope this helps.

Answer:

It is the forth one

Step-by-step explanation:

to long to explain

Answer:

Step-by-step explanation:

Number 4

Answer:

100.48 units³

Step-by-step explanation:

Volume of Cylinder: V = πr²h

V = 3.14 × 2² × 8

V = 100.48 units³

Answer:

100.84^units

Step-by-step explanation:

= 1000

I know

I think hope this helps

4000 mL

There is 1000 mL in a Liter

so multiply 4 x 1000

Answer:

[tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

[tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

[tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

Step-by-step explanation:

Given

Shape: Triangle

[tex]Area = 36cm^2[/tex]

Solving (a): Three possible dimensions

The area of a triangle is:

[tex]Area = 0.5 * Base * Height[/tex]

Let: [tex]Base = 6cm[/tex]

So, we have:

[tex]36= 0.5 * 6* Height[/tex]

[tex]36= 3* Height[/tex]

Solve for Height

[tex]12 = Height[/tex]

[tex]Height = 12[/tex]

So, a possible dimension is: [tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

Let: [tex]Base = 4cm[/tex]

So, we have:

[tex]36= 0.5 * 4* Height[/tex]

[tex]36= 2* Height[/tex]

Solve for Height

[tex]18 = Height[/tex]

[tex]Height = 18[/tex]

So, a possible dimension is: [tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

Let: [tex]Base = 9cm[/tex]

So, we have:

[tex]36= 0.5 * 9* Height[/tex]

[tex]36= 4.5* Height[/tex]

Solve for Height

[tex]8 = Height[/tex]

[tex]Height = 8[/tex]

So, a possible dimension is: [tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

So, the three possible dimensions are:

[tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

[tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

[tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

Solving (b): Can the side lengths be given

We can only determine the base and the height of the triangle, the third side length can not be determined using the available information

Answer:

The error in rounding a number is half of the unit of measure. The number was rounded to the nearest 0.1 unit so the error is half of 0.1 which is 12⋅0.1=0.05  

2

1

​  

⋅0.1=0.05. Since 3.7+0.05=3.753.7+0.05=3.75 and 3.7−0.05=3.653.7−0.05=3.65, then the error interval is \boxed{3.65\le x&lt;3.75}.

Step-by-step explanation:

Answer:

0.53 then, search up 0.53 as a fraction and that's your answer. subscribe to amiredagoat Yt

Step-by-step explanation:

Answer:

59049+0

59048.1+0.9

59048.01+0.99

...

Step-by-step explanation:

There's infinite.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3^{10}}[/tex]

[tex]\mathsf{= 3\times 3\times3\times 3 \times 3\times 3\times3\times3\times3\times3 }[/tex]

[tex]\mathsf{3\times3 = \bf 9}[/tex]

[tex]= 9\times9\times 9\times 9\times9[/tex]

[tex]\mathsf{9\times9 = \bf 81}[/tex]

[tex]\mathsf{= 81\times81\times 9}[/tex]

[tex]\mathsf{81 \times 81 = \bf 6,561}[/tex]

[tex]\mathsf{= 6,561\times9}[/tex]

  [tex]\mathsf{\bf = 59, 049}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 59,049}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]