-8(9+6y) I need to simplify it but I need steps

Given:

The figure of a triangle RST on a coordinate plane.

To find:

The perimeter of the triangle RST.

Solution:

From the given graph it is clear that the vertices of the given triangle are R(-2,7), S(-5,1) and T(-7,-5).

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, we get

[tex]RS=\sqrt{\left(-5-\left(-2\right)\right)^2+\left(1-7\right)^2}[/tex]

[tex]RS=\sqrt{\left(-5+2\right)^2+\left(1-7\right)^2}[/tex]

[tex]RS=\sqrt{\left(-3\right)^2+\left(-6\right)^2}[/tex]

on further simplification, we get

[tex]RS=\sqrt{9+36}[/tex]

[tex]RS=\sqrt{45}[/tex]

[tex]RS=3\sqrt{5}[/tex]

Similarly,

[tex]ST=\sqrt{\left(-7-\left(-5\right)\right)^2+\left(-5-1\right)^2}[/tex]

[tex]ST=2\sqrt{10}[/tex]

[tex]RT=\sqrt{\left(-7-\left(-2\right)\right)^2+\left(-5-7\right)^2}[/tex]

[tex]RT=13[/tex]

Now, the perimeter of the triangle RST is

[tex]Perimeter=RS+ST+RT[/tex]

[tex]Perimeter=3\sqrt{5}+2\sqrt{10}+13[/tex]

[tex]Perimeter=26.032759[/tex]

[tex]Perimeter\approx 26.0[/tex]

Therefore, the perimeter of the triangle RST is 26.0 units.

Answer:

D. 54%

Step-by-step explanation:

Find the relative frequency of it landing on heads by dividing 27 by 50, then multiplying it by 100

27/50

= 0.54

0.54(100)

= 54

So, the relative frequency is 54%

The correct answer is D. 54%

Answer:

Factor

−

1

out of

−

3

x

2

+

4

x

−

7

.

−

(

3

x

2

−

4

x

+

7

)

Step-by-step explanation:

Answer:

45.8

Step-by-step explanation:

I think that is the correct answer

Answer:

6.3

Step-by-step explanation:

square root of (14.9k^2 - 13.5k^2)

Answer:

A) 70

Step-by-step explanation:

180 - 120 = 60

? = x

x + 50 + 60 = 180

x + 110 = 180

x = 70

Answer:

3,644 km²

Step-by-step explanation:

y = 4900(1 - .0575)^5

y = 4900(0.9425)^5

y = 3644.21

Answer:

All is in the picture

Answer:

100. degrees was right for me so it could be for you

Answer:

(0,3) & (-3,15)  -4

(-4,-3) & (-8,-4)  1/4

(3,10) & (1,7)  3/2

(8,6) & (12,5)  -1/4

(-1,-4) & (2,-6)  -2/3

(7,-4) & (11,0)  1

(6,-1) & (7,3)  4

(5,-2) & (11,2)  2/3

Step-by-step explanation:

Answer:

∠C = 36.87°

Step-by-step explanation:

tan C = 3/4 = 0.75

∠C = 36.87°

Answer:

x=2

Step-by-step explanation:

g(x)=∛(x-2) -Substitute g(x)=0

0=∛(x-2) -Swap the sides of the equation

∛(x-2)=0

∛(x-2)=0 -Set the radicand equal to 0

x-2=0

x-2=0 -Move the constant to the right hand side and change its sign

x=2

I Hope this helps! If you are good at geometry I really need help. Please let me know! :)))

Answer:

1. k (or 1)

2. 12r-20

3. 10n-13

4. -14x

5. -11r

6. 4x+11

Step-by-step explanation:

hope this helps!

brainliest?<3

Answer:

1. x > 17

Step-by-step explanation:

When the point on the graph is an open circle you are going to be using < or > as an open circle means greater than or less than

Immediately we can eliminate number 3 and 4

When the line is going in the direction of the right than the inequality sign will face the variable (x)

the numbers are getting larger meaning that x is greater than the constant (17)

Hence, your answer is x > 17

Extra notes:

when the point on the graph is a closed circle ( filled in ) then you will use ≤ or ≥ as a closed circle means greater than or equal to or less than or equal to

Answer:

1. x > 17

Step-by-step explanation:

I          l         l        l    

17      18      19      20

-------------------------------->

Hope this helps

Answer:

it is 5

Step-by-step explanation:

Answer:

(n + 6)(n - 2)

Step-by-step explanation:

Given

n² + 4n - 12

Consider the factors of the constant term (- 12) which sum to give the coefficient of the n- term (+ 4)

The factors are + 6 and - 2 , since

6 × - 2 = - 12 and 6 - 2 = + 4

Then

n² + 4n - 12 = (n + 6)(n - 2) ← in factored form

Answer:

20 + x = 28

Step-by-step explanation:

let x = the # of dvds bought

28 is the total

20 is what he started of with so...

20 + x = 28

and x = 8

Hope this helped! Have a nice day, and feel free to follow me on insta (leo_g_rios)

-XxDeathshotxX

Answer:

n = 15

Step-by-step explanation:

10 x 15 = 150.

Hope this helps!

Answer:

40%

Step-by-step explanation:

I divided 10 by 25.

25 is the total amount of brownies.

10 is the amount of caramel brownies.

Answer:

40%

Step-by-step explanation:

Answer:

x=8 y=1

Step-by-step explanation:

you have first and second equation, YOU MUST FIND THE THIRD EQUATION

SOLUTION

FIND equation 3 from 2

x+2y=10

x=10-2y...........3

Substitute equation 3 from first (not from the equation where you got equation 3)

2 (10-2y)-7y=9

20-4y-7y=9

-11y=9-20

-11y= -11

-11y/-11= -11/-11

y=1

Find the value of x from the third equation

x=10-2 (1)

x=8

Answer:

i go for 3

Step-by-step explanation:

Answer:

do not know why asking questions

Answer:

3

Step-by-step explanation:

[tex]( \sqrt{3} + \sqrt{6) } \times ( \sqrt{6} - \sqrt{3} )[/tex]

[tex]( \sqrt{6} + \sqrt{3} ) \times ( \sqrt{6} - \sqrt{3)} [/tex]

[tex]6 - 3[/tex]

[tex]3[/tex]

Answer:

X= 139

Step-by-step explanation:

1. Suplementary angle = 180 degrees

2. Set up the Equation  

  41 + x = 180

3. Solve

 41 + x = 180

-41           -41

       x = 139

Answer:

Your answer would be 8x+2

Step-by-step explanation:

4x+3x+x+2

Combine the like terms

Which gives you 8x+2

Answer: D, -13<-10

Step-by-step explanation:

Which ever way the open part of the '<' is facing, means that it is greater than the other number.

-13 is smaller than -10 so the open part of the symbol would face towards -10 and the pointy part would fact towards the -13.

Hope this helps :)