What is the slope of this line

Answer:

The correct answer is 39 units.

Parameter is the sum of the lengths of all sides of a polygon. The sides of the polygon are PT, TS, SR, RQ, and QP. To get the length of a side, we use the distance formula:

d =

Each vertex in the polygon has its corresponding points:

P (-2,11)

T (8, 7)

S (1, 7)

R (2, 0)

Q (-4,5)

So to get the length of side PT, we use the distance formula and the vertices of side PT:

P  = (-2, 11)

T  = (8, 7)

The length of PT is

The same procedure is done for the other 4 sides and the following are the answers:

TS =

SR =

RQ =

QP =

And by adding all the sides, you get the perimeter:

By rounding off, the answer is 39 units.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:$1.67

Step-by-step explanation:

Divide 20 and 12 to get 1.6666666 round the number and you get 1.67

The denominator is the bottom number.

To change the 5 to 10, you would multiply 5 by 2: 5 x 2 = 10

Because you multiplied the 5 by 2, you also need to multiply the numerator ( top number) by the same amount.

1 x 2 = 2

So 1/5 = 2/10

The answer is 2/10

Answer:15 times

Step-by-step explanation:

For the 3 batches it is 3 x 5/4 (5/4 is how much each batch costs)=15/4

And you must divide 15/4 by 1/4 or multiply it by 4 crossing out the denominator giving you your answer 15

Answer:

42°

Step-by-step explanation:

its 42° because its smaller than 48° and that's the only option smaller lol

Answer:

42 degrees

Step-by-step explanation:

The angle forms a right angle, which in total would be 90 degrees.

48 + 42 would be the only option because it is the only one that adds up to 90 degrees.

Answer:

y/4

Step-by-step explanation:

Answer: 14 candles in 1 hour

Step-by-step explanation: To find how many candles they can make in 1 hour, simply divide 28 by 2.

28/2 = 14 candles in 1 hour.

Answer:

The equation of the line in Point-Slope Form will be:

[tex]y + 1 = -2(x - 2)[/tex]

Also, check the attached graph below.

Step-by-step explanation:

Given the points

Determining the slope between the points C (2.-1) and D (1, 1).

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [1 - (-1)] / [1 - 2]

               = [1+1] / [-1]  

               = [2] / [-1]

               = -2                    

Thus, the slope of the line = m = -2

The point-slope form of the line equation is defined as

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

In our case:

substituting the values m = -2 and the point (x₁, y₁) = (2, -1) in the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - (-1) = -2 (x - 2)[/tex]

[tex]y + 1 = -2(x - 2)[/tex]

Therefore, the equation of the line in Point-Slope Form will be:

[tex]y + 1 = -2(x - 2)[/tex]

Also, check the attached graph below.

Equation of the ellipse = 3x² + 5y² = 32

The equation of an ellipse is given by,

[tex]\sf \dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1[/tex]

Given that the ellipse passes through the point (-3, 1)

Hence,

[tex]\sf \dfrac{(-3)^2}{a^2} +\dfrac{1^2}{b^2} =1[/tex]

Cross multiplying we get,

Multiply by 4 on both sides,

Also by given the ellipse passes through the point (2, -2)

Substituting this,

[tex]\sf \dfrac{2^2}{a^2} +\dfrac{(-2)^2}{b^2} =1[/tex]

Cross multiply,

Subtracting equations 2 and 1,

Substituting in 2,

Substituting the values in the equation for ellipse,

[tex]\sf \dfrac{x^2}{32/3} +\dfrac{y^2}{32/5} =1[/tex]

[tex]\sf \dfrac{3x^2}{32} +\dfrac{5y^2}{32} =1[/tex]

Multiplying whole equation by 32 we get,

3x² + 5y² = 32

Answer:

Step-by-step explanation:

x + y = 25

2x - y = 6           Solve for y in this the second equation. Add y to both sides

2x  = 6 + y         The ys on the left cancel. Subtract 6 from both sides.

2x - 6 = y

Put this value of y into the first equation

x + y = 25

x + 2x - 6 = 25      Combine on the left

3x - 6 = 25           Add 6 to both sides.

3x = 25 + 6           Combine the right

3x = 31                   Divide by 3

x = 31 / 3            

x = 10.333333

x + y = 25

10.33333 + y = 25  Subtract 10.33333

y = 25 - 10.333333

y = 14.666666

x + y = 25

10.33333 + 14.66666

25 approximately.

2x - y = 6

2*10.33333 - 14.66666

20.66666 - 14.66666

6

You should note that those numbers are repeating decimals

2x - 6 = y

Answer:

76

Step-by-step explanation:

10 * 4 + 6 ^ 2  = 40 + 36 = 76

Answer:

$15.56

Step-by-step explanation:

So start by doing a 10% tip, because you just move the decimal place over by 1, so $1.35, and then divide that by 2 to get 5% which is .68, and add them to get 2.03. You can get the same answer by multiplying 0.15 to 13.53. 13.53 + 2.03 is 15.56. Hope this helped and have an awesome day!

Answer:

It will take approximately 17 years

Step-by-step explanation:

Let the initial investment be x

The investment plus the principal yields 3x

The interest is thus 3x-x = 2x

Formula for simple interest is;

I = PRT/100

R is rate = 12%

T is time = ?

x =$2,000 which is the principal

2x = x * 12 * T/100

2 = 12t/100

12t = 200

t = 200/12

t = 16.67 which is approximately 17 years

Anno one came answer that without numbers

Step-by-step explanation:

Answer:

Although Stanton remained committed to efforts to gain property rights for married women and ending slavery, the women's suffrage movement increasingly became her top priority. Stanton met Susan B

Step-by-step explanation:

Answer:

[tex]x^{2}-2+\frac{20}{x+7}[/tex]

Step-by-step explanation:

x + 7) x³ + 7x²- 2x + 6 ( x²- 2

        x³ + 7x²

                     -2x + 6

                     -2x - 14

                           +20

Therefore, we can write the expression in the remainder quotient form as,

[tex]x^{2}-2+\frac{20}{x+7}[/tex]

Answer:

Volume =   πr2h

=  π×52×9

=  225π

=  706.85 inches3

Step-by-step explanation:

Answer:

8 Red M&M's

Step-by-step explanation:

40 M&M's × 0·20 = 8 red M&M's in the bag

Hope this helps, plz mark brainliest!

answer 8 red m&ms are there

Step-by-step explanation:

20/100*40

100/20=5

40/5=8

answer is 8red m&ms are there

Answer:

it would be D

Step-by-step explanation:

and I say this because i did this before.

Answer:

C

Step-by-step explanation:

It's basically finding the average or mean of the problem, so he would add up all his times and divide by 14 because that's the total "amounts" he has. Hope this helped!

Answer:

[tex]y=4^x[/tex]

Step-by-step explanation:

[tex]y=4^x[/tex]

For x=0

[tex]y=4^{0}=1[/tex]

For x=1

[tex]y=4^1=4[/tex]

For x=2

[tex]y=4^2=16[/tex]

Answer:

Step-by-step explanation:

Answer:

The actual speed = 27.12 mi/h

Direction = 36.5° in NE(north of east)

Step-by-step explanation:

As given , A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E.

⇒θ = 36°

Let v₀ be the constant speed, then v₀ = 20

Let vₓ be the speed in East direction

     [tex]v_{y}[/tex] be the speed in North direction

So,

vₓ  = v₀ sin(θ) = 20 sin(36°) + 10 ( As given, There is a 10mi/h cross wind blowing due east.)

⇒vₓ  = 20(0.588) + 10 = 11.76 + 10 = 21.76 mi/h

and   [tex]v_{y}[/tex]  = v₀ cos(θ) = 20 cos(36°) = 20(0.809) = 16.18 mi/h

Now,

the actual speed = √(vₓ)² + ([tex]v_{y}[/tex])²

                            = √(21.76)² + (16.18)²

                            = √473.498 + 261.792

                            = √735.29 =  27.12

⇒The actual speed = 27.12 mi/h

Now,

Direction = θ = [tex]tan^{-1}(\frac{v_{y} }{v_{x} } ) = tan^{-1}(\frac{16.18 }{21.76 } ) = tan^{-1}(0.74) = 36.5[/tex]

⇒ Direction = 36.5° in NE(north of east)

Answer:

27.1 mi / h; N 53° E

Step-by-step explanation

Answer:

The solution is given below:

Step-by-step explanation:

The computation is shown below:

= 19 +  7 divided by 2 - 5

= (19 + 7) ÷ (2) - 5

= 26 ÷ 2 - 5

= 13 - 5

= 8

Hence, after solving this the value would be 8

Therefore it is equal to the 8

Hence, the given statement is true

Answer:

They sold 175 small popcorns and 103 Large popcorns

Step-by-step explanation:

The equation is

L + S = 278 this means the total large and small popcorn that they sold is 278

3L+1S= 484  The owner of the question told me the total profit is 484

When we solve we can turn the first equation into L=-S+278

we substitute  L=-S+278 into 3L+1S=484 we get  -3S+ 834+ S= 484

-3S+834+1S=484

-2S+ 834= 484

-2S=- 350

2s= 350

s= 175

We know that they sold 175 small popcorns now. Now we Substitute 175 into L+ S= 278 and get L+ 175=278

L+175=278

L= 103

They sold 175 small popcorns and 103 Large popcorns

Answer:

1/5 = 20%

20.000.000 x 20% =4.000.000 / year

from 2008 to 2010 is : 2 years

So the population in 2010 is : 20.000.000 + ( 4.000.000 x 2 ) = 28.000.000 population

Step-by-step explanation: