Which equation describes a line perpendicular to line R that passes through the point
(3, –6)?

A.x – 3y = 21
B.3x + y = 3
C.3x – y = 15
D.3x – y = 3

Answer:

The slope is equal to [tex]\frac{3}{4}[/tex].

Step-by-step explanation:

In order to solve this question we need to know that.......

[tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} }[/tex]

Where "m" = slope," [tex]y_{2}-y_{1}[/tex]" = first difference, and [tex]x_{2} - x_{1}[/tex] is the difference of the x values of the two points that we chose to fid the slope.

(If you don't understand something I would recommend to read about first differences and how we can use the first differences to find the slope).

Now we need to find two points on the line. One of them is already given to us and it is (36,27). In order to find the second one we will have to find a point with "x" and "y" values that have the same relation ship to each other as the point (36,27). We can do that by doing the following

[tex]\frac{x/a}{y/a} =\frac{x_{1} }{y_{1} }[/tex]

In this case a any common factor of "x" and "y" except 1. So now we can do the following...

[tex]\frac{36}{27} = \frac{36/9}{27/9} = \frac{4}{3}[/tex]

Now we know that another point on this line is (4,3).

Now all we have to imagine (36,27) as ([tex]x_{2} ,y_{2}[/tex]), and imagine (4,3) as [tex](x_{1} , y_{1})[/tex]. so now......

[tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} } = \frac{27 - 3}{36-4} = \frac{24}{32} = \frac{3}{4}[/tex]

Answer:

60 and

x=4

Step-by-step explanation:

Answer:

A. y=1.5d+5

B. 35 cm high

Step-by-step explanation:

hope this helps

Answer:

it is b a c on plato

Step-by-step explanation:

Answer:

put it right in between the 0 and 0.5

Step-by-step explanation:

Answer:

- 19/8 hope you got it right

Answer:

10i

Step-by-step explanation:

The square root of negative 100 is not equal to 10. If 10 was the square root of negative 100, then 10 squared would be equal to negative 100. But in fact, 10 squared is 10*10, which is obviously (positive) 100, not negative 100.

To determine the actual value of the square root of negative 100, we can proceed as follows:

Let s be the square root of negative 100.

Then s^2 = -100.

So s^2 = 100×(-1) = (10^2)×(i^2) =10×10×i×i = 10×i×10×i =(10i)^2.

So s = 10i.

So the square root of negative 100 is equal to 10i.

Note that the square of -10i is also equal to negative 100. 10i is the principle square root of negative 100.

Answer:

10i

Step-by-step explanation:

Since, it's a negative square root you have to use imaginary numbers to make it solvable. Hope this helps! :)

Answer: 20,091 is the answer but if you round it becomes to 22,090

Answer:

20091

Step-by-step explanation:

Answer:

The sales tax is $0.40

Step-by-step explanation:

10 x 0.04 = 0.4

0.04 is 40% when multiplying

Answer:

El que pesa distinto es aquel que causa un desnivel en la balanza.

Step-by-step explanation:

Sabemos que una balanza tiene dos lados en los cuales podemos poner peso, si la balanza está equilibrada, ambos lados están a la misma altura, de lo contrario, habrá un desnivel entre ambos lados.

Puesto que solo podemos emplear la balanza 3 veces, debemos crear tres grupos de cuatro personas, que dentro de cada una cada mitad, conformada por dos personas, es colocada en un lado de la balanza. Si la balanza está equilibrada, entonces todo ese grupo está integrado por personas del mismo peso, pero si esta desequilibrada, una persona de alguno de los dos subgrupos.

En ese caso, se procede a sacar a dos personas, una por cada lado de la balanza, si el desbalance desaparece, entonces alguna de las dos personas que salió tiene un peso distinto, pero si el desbalance persiste, entonces es causante del desbalance se encuentra en aún en la balanza.

En conclusión, el que pesa distinto es aquel que causa un desnivel en la balanza.

Answer

1296

Step-by-step explanation:

The explanation is 2x is written as 2*2 = 4

then 3x is written as 3*3 = 9  so

so you do 4*9 = 36 * 2 = 1296

Answer:

The answer to your problem is: 6x³

Answer:

23/200

Step-by-step explanation: all you have to do is divide it lol

Answer:

23/200~ as simplified, 115/1000~ not simplified

Step-by-step explanation:

115/1000= 23/200

Hope this helps ∞<3

Answer:

The relationship between the two is that they are equal.

Step-by-step explanation:

Since y = cosx is a even function, that means that cosx = cos(-x). Therefore, cos 90 degrees = cos -90 degrees.

We can also test this out:

cos 90 = 0

cos -90 = cos 270 = 0

Therefore, this came to the same conclusion as our first solution.

I hope this helps! :)

Answer:

The third graph(left to right)

Step-by-step explanation:

the vertex would be (-1,-3) from the formula.

Answer:

It's option B

= - 1/3 -(-5/12)

= - 1/3 +5/12

Because minus and minus is plus

- - = =

Hope it's help ^_^

Answer:

THXXX

Step-by-step explanation:

Answer:

TY! :D

Step-by-step explanation:

lol

Answer:

LOL i don't even know

Step-by-step explanation:

Answer:

169 minutes

Step-by-step explanation:

Hope you have a great day and good luck for tests and upcoming exams.

Answer: (0.809, 0.891)

Step-by-step explanation:

Let p = population proportion for a snack foods that contain more fat grams and was indicated on the snacks nutritional information .

As per given , we have

Sample size : n= 205

Sample proportion: [tex]\hat{p}=\dfrac{174}{205}\approx0.85[/tex]

z-value for 90% confidence = 1.645

Confidence interval for p: [tex]\hat{p}\pm z^* \sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]0.85\pm (1.645)\sqrt{\dfrac{(0.85)(1-0.85)}{205}}\\\\=0.85\pm (1.645)\sqrt{\dfrac{0.85\times0.15}{205}}\\\\= 0.85\pm (1.645)\sqrt{0.000621951219512}\\\\=0.85\pm0.041\\\\=(0.85-0.041,\ 0.85+0.041)\\\\= (0.809,\ 0.891)[/tex]

Hence, the required confidence interval = (0.809, 0.891)

ANSWERS AND STEPS???

Answer:

The correct answer is (2,1)

Step-by-step explanation:

The distance, midpoint, and slope  are 4√5 , (2 , 1) , 1/2 respectively.

For any two points A( x₁ , y₁ ) B( x₂, y₂)   the distance, midpoint, and slope  are given by:  1)     [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]  

                       2)  M(x , y) = { (x₁ + x₂)/2 , (y₁ + y₂)/2 }

                      3)  m= y₂ - y₁ / x₂ - x₁

Given here the points A(-2,-1) and B(6,3)

substituting the values we get,

1) [tex]d = \sqrt {\left( {-2- 6} \right)^2 + \left( {-1 - 3} \right)^2 }[/tex]    

  [tex]d = \sqrt {\left( {8 } \right)^2 + \left( {4 } \right)^2 }[/tex]

[tex]d = \sqrt {\left( 80{ \right)^ }[/tex]

[tex]d =4\sqrt {\left5 }[/tex]

2)      M(x , y) = { (-2 + 6)/2 , (-1 + 3)/2  }

                     =  (2 , 1)

3)  m = { (6 - (-2) / (3 - (-1)) }

        = 1/2

Hence,  distance, midpoint, and slope  are 4√5 , (2 , 1) , 1/2 respectively.

Learn more about  distance, midpoint, and slope here:

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Answer:

Angle D is 45 degrees. The side length is 9 in.

Step-by-step explanation:

In a rotation, side lengths and angles do not change.

Answer:

Roberto is correct because 15/16 x 4/5 = 3/4.

Roberto's solution to the division problem is correct, but

there are no true statements on your list of choices.

Answer:

Roberto is correct because 15/16 x 4/5 = 3/4.

Step-by-step explanation:

Answer:

A.) Point A is closer to the surface of the sea than point B

Step-by-step explanation:

-7/3 = -14/6

-5/2 = -15/6

Point A is closer to the surface of the sea than point B.

Answer:

28 minutes

Step-by-step explanation:

4 miles = 45 minutes

4 kilometers = (m) minutes

45 ÷ 4= 11.25

4 kilos= 2.48548 miles

2.48548 x 11.25= 27.96165

m = 28 minutes

- I hope this helps have a great day

John will covers 4 km distance in 28 minutes.

What is Rate of change?

A rate is anything that can be measured over time. Common rates include velocity (which is the rate of distance traveled), power (rate of work being done), etc. All these have one thing in common which is that they are all divided by the amount of time it took to obtain a certain measurement.

Here, it is given that John takes 45 minutes to run 4 miles and is known that :

1 mile ≈ 1.61 km

that is for,

4 mile ≈ 6.44 km

John covers 6.44 km in 45 minutes, John will cover 4 km in :

6.44 km ⇒  45 minutes

1 km ⇒ 45/6.44 minutes

4 km ⇒ 4 x (45/6.44) minutes ≈ 28 minutes

Therefore, John will covers 4 km distance in 28 minutes.

Read more about ratio at:

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Answer:

Part 1) Geometric sequence

Part 2) 64 minutes or one hour and four minutes to complete station 5.

Part 3) 512 minutes or 8 hours and 53 minutes to complete station 8.

Step-by-step explanation:

Trust me. I used my calculator.

Answer:

E(-9)≈3.4936

Step-by-step explanation:

Calculate the arc length of the following curve from x = 0 to x = π/2:

y(x) = -1 + 3 cos(x)

Hint: | The definition of arc length in Cartesian coordinates is s = integral_(x_0)^(x_1) sqrt(1 + y'(x)^2) dx.

Apply the definition of arc length to y(x) = -1 + 3 cos(x) for 0<x<π/2:

s = integral_0^(π/2) sqrt(1 + (d/dx(-1 + 3 cos(x)))^2) dx

Hint: | What is d/dx(-1 + 3 cos(x))?

Compute the derivative d/dx(-1 + 3 cos(x)):

= integral_0^(π/2) sqrt(1 + (-3 sin(x))^2) dx

Hint: | Can the integrand be simplified?

Simplify sqrt(1 + (-3 sin(x))^2):

= integral_0^(π/2) sqrt(1 + 9 sin^2(x)) dx

Hint: | Can this integral be computed?

Compute the definite integral:

Answer: E(-9)≈3.4936

Answer:

R = 148.6111%/year

Equation:

r = (1/t)(A/P - 1)

Calculation:

Solving our equation:

r = (1/4)((1500/216) - 1) = 1.48611111

r = 1.48611111

Converting r decimal to R a percentage

R = 1.48611111 * 100 = 148.6111%/year

The interest rate required to get a total amount, principal plus interest, of $1,500.00 from simple interest on a principal of $216.00 over 4 years is 148.6111% per year.

Answer: 3%

Step-by-step explanation:

216 / 1500 = 14.4

14.4/ 48 months = .003

.003 x 100 = 3%