How would you change the following relation to a function
{(9.1), (1.9), (3,6), (6,3). (6.1)

Let n be rhe number of vertices in the polygon, then the sum of all interior angle is (n - 2) × 180°.

Number of sides in a heptagon = 7

So, n = 7

So,

the sum of the interior angles of a heptagon

= (7 - 2) × 180°

= 5 × 180°

= 900°

Answer:

900

Step-by-step explanation:

Answer:

5600

Step-by-step explanation:

20,000 x 0.28 = 5600

Answer:

[tex]8 \frac{8}{9}[/tex] minutes

Step-by-step explanation:

plz mark brainlyest

Answer:

w = 3

The rest doesn't have enough information to complete, (Sorry for previous answer)

Answer:

x = 85

y = 65

Step-by-step explanation:

By interior angle sum property of a triangle.

y° + 25° + 90° = 180°

y° + 115° = 180°

y° = 180° - 115°

y° = 65°

y = 65

By remote interior angle theorem of a triangle:

x° = y° + 20°

x° = 65° + 20° (since y = 65)

x° = 85°

x = 85

Answer:

k = 8

Step-by-step explanation:

Since the roots of the equation 3x² + 2x + k are x₁ and x₂ and 2x₁ = 3x₂.

By the roots of an equation, ax² + bx + c , where its roots are  x₁ and x₂. It follows that sum of roots are x₁ + x₂ = -b/a and product of roots are x₁x₂ = c/a.

Comparing both equations, a = 3 b = 2 and c = k.

So, x₁ + x₂ = -b/a = -2/3 and x₁x₂ = c/a = k/3

x₁ + x₂ = -2/3 and x₁x₂ = k/3

3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k  (2)

Since 2x₁ = -3x₂, and -2x₁ = 3x₂substituting this into equations (1) and (2) above, we have

3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k  (2)

3x₁ + (-2x₁) = -2  and x₁(3x₂) = k

3x₁ - 2x₁ = -2  and x₁(3x₂) = k  

x₁ = -2  and x₁(-2x₁) = k  

x₁ = -2  and -2x₁² = k  

Substituting x₁ = -2 into -2x₁² = k, we have

-2x₁² = k

-2(-2)² = k

2(4) = k

8 = k

So, k = 8

The required value of k is -18

Given the quadratic equation [tex]3x^2+2x+k=0[/tex]

Let the roots of the equation be [tex]x_1 \ and \ x_2[/tex]

From the quadratic equatin:

a = 3, b = 3 and c = k

Sum of root = -b/a

x1 + x2 = -3/3

x1 + x2  = -1 ....................... 1

product of roots = c/a

x1x2 = k/3 ....................... 2

Recall that 2x1=−3x2

x1 = -3x2/2 ........... 3

Substitute equation 3 into 1:

x1 + x2  = -1 ....................... 1

-3x2/2 + x2 = -1

-3x2 + 2x2 = -2

-x2 = -2

x2 = 2

From equation 2:

x1x2 = k/3

2x1 = k/3

-3x2 = k/3

-3(2) = k/3

-6 = k/3

k = -18

Hence the required value of k is -18

Learn more on quadratic function here: https://brainly.com/question/11631534

Answer:

480

Step-by-step explanation:

in this type of question you would multiply the amount of ounces in 1 pound to the amount of how many pounds there is.

Answer:

The answer is she sold 20 labradorite crytals and 3 galena crystals.

Step-by-step explanation:

First you times 20 x 20 and get 400 and then times 13 x 3 and get 39 and 400 plus 39 equals $439.

Answer:

$60

Step-by-step explanation:

$60

Step-by-step explanation:

20% = 0.2

75× 0.2 = 15

75-15=60

Answer:

2 x 2 x 2 x 3

Step-by-step explanation:

Find two numbers that multiply together to form 24:

2 x 12 = 24

Find two numbers that multiply together to form 12, a factor of 24. Replace 12 with these numbers:

2 x (2 x 6) = 2 x 12 = 24

Find two numbers that multiply together to form 6, a factor of 12. Replace 6 with these numbers:

2 x (2 x (2 x 3)) = 2 x (2x6) = 2 x 12 = 24

Two and three cannot be factored any further, therefore the prime factors of 24 are 2, 2, 2, and 3.

Answer:

1

Step-by-step explanation:

because it is a linear equation and linear Equations only have 1 solution

Answer:

la respuesta correcta es la letra B es decir la pendiente es -1/3 y la intersección con el eje y es -2/5 segun mis calculos

Step-by-step explanation:

Answer:

ten thousand

Step-by-step explanation:

Answer:

3 would be ten thousand

Step-by-step explanation:

in words it would be thirty five thousand and two hundred eighty.

the number 3 would be in the tenth thousand because its the 2nd one in the thousands. It’s the 10th thousands thats why.

Answer:

2 1/4

Explanation

I took the test it was right.

Answer:

I don't think any of the answers here are right. They aren't a proportional relationship since they don't pass through the origin. So I would believe the answer would be C. Sorry if I'm wrong!!

Step-by-step explanation:

I learned about this stuff :D

Answer:

C, because you would need two numbers to find the slope of the graph.

Step-by-step explanation:

I had to take a minute to understand this question.

i believe the correct ones are...

1

3

5

7

Answer:

y = 0.85x

Step-by-step explanation:

Given that:

Coupon (c) = 15% off

x = original price of ticket

y = price of ticket with coupon

Price of ticket with coupon = (100 - c)% * original price)

y = (100 - 15)% * x

y = 85% * x

y = 0.85x

Answer:

-3165

Step-by-step explanation:

put 3 in for x than you just multiply from there than once you multiplied add and subtract than you have the answer

Answer:

Sorry if I am wrong

Step-by-step explanation:

If you do 5x10 then you would get 50 right then if you also do 8x10 then you would get 80 add those together you get 130. that means if Leah worked 10 hours at Ice cream and 10 hours at babysitting she would not only meet her goal she would have 10 extra dollars.

Answer:

Well B is the base of the shape

If thats what you mean

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

i need this question too

Step-by-step explanation:

Answer:

try 70

Step-by-step explanation:

Answer:

9x50=450

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Given the expression

[tex]\frac{(2^3)(2)^4}{2^{10}} \\[/tex]

Using the following laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}\\a^m \times a^n = a^{m+n}[/tex]

The expression becomes;

Step 1: Multiplication rule

[tex]=\frac{(2^3)(2)^4}{2^{10}} \\= \frac{2^{3+4}}{2^{10}}\\= \frac{2^7}{2^{10}}[/tex]

Using the division rule of exponent (Quotient of powers);

[tex]= \frac{2^7}{2^{10}} \\= 2^{7-10}\\= 2^{-3}\\also \ a^{-m} = \frac{1}{a^m}\\ 2^{-3}= \frac{1}{2^3}\\\frac{1}{2^3} = \frac{1}{8}[/tex]

Hence the result of the expression is 1/8

Answer:

(A) PRODUCT OF POWERS

(B) POWER OF A POWER

(C) QUOTIENT OF POWERS

Step-by-step explanation:

it is correct

Since h(x) doesn't have any division by zero possibilities, and we aren't working with square roots, this means we don't have any domain restrictions to worry about.

We can plug in any real number we want for x to get some output h(x).

Therefore, all of the numbers listed are in the domain of h(x).

Answer:

Step-by-step explanation:

98.8

Answer:

99

Step-by-step explanation:

The angle of depression looking from the tower is the same as the angle of elevation looking at the top of the tower from the spot of the fire.  So, tan (12 degrees) = 21 / distance between the tower and fire.  Thus, the distance = 21 / tan(12).  

tan (12) = 0.2126

Distance = 21 / 0.2126 = 98.78

The question asks about the distance from the base to the fire (to the nearest foot.)  Thus, it is 99 feet.  

Answer:

10

Step-by-step explanation:

Thanks for the Points! Have a great day!

:)

Answer:

10 zzz

Step-by-step explanation: