The hexagon is made from a rectangle and two identical triangles.
13 cm
5 cm
12 cm
Work out the area of the hexagon.

Answer:

[tex]\Large \boxed{\sf \bf 2x^2-12x+10}[/tex]

Step-by-step explanation:

Hello,

As 1 and 5 are roots we can write, with a real number, the quadratic equation as

a(x-1)(x-5)

and as the leading coefficient is 2 then a = 2

It comes

[tex]2(x-1)(x-5)=2(x^2-6x+5)=2x^2-12x+10[/tex]

Thanks

The quadratic equation will be 2x²-12x+1=0.

Quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that the roots of the quadratic equation are 1 and 5 and the leading coefficient is 2.

The equation will be written as,

Quadratic equation = 2( x - 1 ) ( x - 1 )

Quadratic equation = 2 ( x² + 4x - 5)

Quadratic equation  = 2x² + 8x - 10

Therefore, the quadratic equation will be 2x²-12x+1=0.

To know more about quadratic equations follow

https://brainly.com/question/1214333

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Answer:

y= 1/2 is the answer.

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

Rate = distance / time.

Distance= 9/10

Time = 1/10

Rate = 9/10 divided by 1/10 which is 9.

9 meters per second.

540 meters per minute.

[tex]f(x) = \frac{1}{3}x - 4 \\ [/tex]

[tex]y = \frac{1}{3}x - 4 \\ [/tex]

Subtract the sides of the equation plus 4

[tex]y + 4 = \frac{1}{3}x \\ [/tex]

Multiply the sides of the equation by 3

[tex]3(y + 4) = x[/tex]

[tex]3y + 12 = x[/tex]

So ;

[tex] {f}^{ - 1}(x) = 3x + 12 [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

k=45

Step-by-step explanation:

Since the sum of the measures are 180 and the measures are 45 degrees, k degrees, and 2k degrees, we can conclude that [tex]45+2k+k=180[/tex]. 2k and k are like terms, so you can add 2k and k to get 3k.Then, you would have  [tex]45+3k=180[/tex]. Since you are finding k, you want to isolate k as best you can. To do this, you subtract 45 on both sides [tex]45-45+3k=180 -45 \\3k=135[/tex] as shown by the equation, 180-45 is 135. Then, you divide 3 on both sides to get k=45.

Answer:

y= 3h

Step-by-step explanation:

make y the subject of the formular

Answer:

About 110,000 – 330,000 lbs.

Step-by-step explanation:

Your Welcome :)

Answer:

110,000 – 330,000 lbs

Step-by-step explanation:

I GOT CHU

Answer:

B.) 7.5

Step-by-step explanation:

I'm guessing that 7.5 is the radius. If so, the diameter is 15 in. because 7.5 + 7.5 = 15. The radius is half of the diameter.

Answer:

169/24 or 7 1/24

Step-by-step explanation:

Answer:

Parallel

Step-by-step explanation:

mjk=-1

mlm=-1

Answer:

-2b+4

Step-by-step explanation:

we are multiplying by a negative 1 in the expression.

-1(2b-4)

-2b+4

*negative multiplied by a negative makes a positive

Hope this helps!

Answer:

11: 12/18 12: 4/16 13: A: 2/8 B: 6/8 C: 2/8

Step-by-step explanation:

Im pretty sure those are

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Eliana saves at a greater rate because her unit rate of $42 per week is greater than Lana's unit rate of $40 per week

hope this helps =3

sorry if im wrong

Answer:

1. 30(8.75) + 11t = 400

2. 12.5 hours

Step-by-step explanation:

1. What is given is you work for 30 hours per week at a gas station for $8.75 an hour. You also work as a landscaper for $11 an hour. You want to a make a total of $400 per week.

30 hours and $8.75 an hour would be equivalent to 30(8.75)

We don’t know how many hours you work as a landscaper but you earn $11 an hour, which is equivalent to 11t

Finally, you want to earn a total of $400 a week, which means the sum equals 400

30(8.75) + 11t = 400

2. 30(8.75) = 262.5

400 - 262.5 = 137.5

137.5 / 11 = 12.5

Answer: 3

Step-by-step explanation:

Answer:

Rise 3

Run 1

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

subtract

Answer:

I am pretty sure 25%

Step-by-step explanation:

I had this question before

Answer:

117-40=77

Step-by-step explanation:

Subtract 40 from 117 to get the answer

Answer:

x<18

Step-by-step explanation:

Answer:

The answer is 6x-1=11

[tex](2x - 9) + (3x - 6) = 110[/tex]

[tex]2x + 3x - 9 - 6 = 110[/tex]

[tex]5x - 15 = 110[/tex]

Plus sides 15

[tex]5x - 15 + 15 = 110 + 15[/tex]

[tex]5x = 125[/tex]

Divided sides by 5

[tex] \frac{5}{5}x = \frac{125}{5} \\ [/tex]

[tex]x = 25[/tex]

Thus ;

A = 2 ( 25 ) - 9°

A = 50° - 9°

A = 41°

_________________________________

B = 3 ( 25 ) - 6

B = 75° - 6°

B = 69°

_________________________________

C + 110° = 180°

because it is a straight line.

Subtract sides 110°

C + 110° - 110° = 180° - 110°

C = 70°

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Answer:

the answer is: "a ratio is a comparison of two numbers or measurements

Answer:

24m3−168m2+225m+30

Step-by-step explanation:

(3m+−6)(8m2+−40m+−5)

=(3m)(8m2)+(3m)(−40m)+(3m)(−5)+(−6)(8m2)+(−6)(−40m)+(−6)(−5)

=24m3−120m2−15m−48m2+240m+30

=24m3−168m2+225m+30

[tex]Ihopethishelps[/tex]

Answer:

Yes

Step-by-step explanation:

boys to girls is  3 to 4 or 3:4

girls to boys is 4 to 3 or 4:3

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The genders are mixed up but the ratios are the SAME or EQUIVALENT.

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boys 3

girls 4

[tex]hopefullythishelpsyou[/tex]

[tex]enjoyyourday[/tex]

Answer:

17.5 miles per hour

Step-by-step explanation:

A boat travels upstream on a Mississippi river for 3.5 hours

The return trip takes 2.5 hours

The boat travels 2 miles per hour faster downstream

Let y represent the speed that was travelled upsteam

3.5y = 2.5(y + 2)

3.5y = 2.5y + 5

3.5y - 2.5y = 5

y = 5

Therefore the distance travelled by the boat upstream can be calculated as follows

= 3.5 × 5

= 17.5 miles per hour

Answer:

pretty sure he has 5 quarters

Step-by-step explanation:

16 divided by 3 = 5

Answer:

greater than

Step-by-step explanation:

Answer:

B

Step-by-step explanation: