Point E is located at (-1,6) and point F is located at (3,9). What are the coordinates of point that partitions the directed line segment EF in a 3 : 2 ratio?​

Answer:

5π/6 to the right

π/6 to the right

Answer:

The second one, my order is different, but they are equivalent answers

Step-by-step explanation:    6  22  22  18

  (√6 + √11)  / (√5 +√3)      multiple top and by  (√5 - √3)   note the minus

  (√6 + √11) × (√5 - √3)  / (√5 +√3) x (√5 - √3)

  (√30 + √55 - √18 - √33)  / (5 - 3)

 (√30 + √55 - 3√2 - √33) / 2

Answer:

XY = 10 cm

Step-by-step explanation:

XY is a midsegment and is half the length of the 3rd side DE, that is

XY = [tex]\frac{1}{2}[/tex] DE = [tex]\frac{1}{2}[/tex] × 20 = 10 cm

Answer:

Here are five number cards.

19

13

10

14

22

Two of the five cards are picked at random.

Work out the probability that the total of the two numbers is more than 32

+

Total marks: 3

The probability that the total of the two numbers is more than 32 is 2/5.

Probability is the study of likeliness of an event to happen.

The number cards given are 19 , 13 , 10 , 14 , 22

The Probability when two number cards are drawn then th sum is moire than 32 is ?

Probability = Favourable Outcomes / Total Outcomes

Total outcomes when total cards is 5 and no. of cards drawn is 2  

= [tex]\rm ^5C_2[/tex]

= ( 5 * 4 * 3 * 2 * 1)/(( 3 * 2 )(2.1))

= 10 outcomes

Favourable Outcomes

= ( 19 , 14) (19,22) (13,22)(14,22)

= 4

Probability = 4/10 = 2/5

Therefore the probability that the total of the two numbers is more than 32 is 2/5.

To know more about Probability

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Answer:

c

Step-by-step explanation:

the value of x can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

The triangle is an isosceles triangle

An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Thus the value of the base is also 7

7²  + 7²

49 + 49

= 98

√98 = 9.899 = 7√2

Answer: Spontaneous recovery likely occurred, and the dog salivated in response to the triangle

Step-by-step explanation:

Spontaneous recovery is the reappearance of the conditioned response when a rest period has taken place or when there's a period of lessened response.

In this case, since the researchers put the dog back in his cage for three hours after which the dog went through the conditioning process again after the three hours, then there'll be a spontaneous recovery.

Step By Step Explanation:

Answer:

I have no clue

Step-by-step explanation:

1. Search online

2. Never count on me again!

Answer:

x = 14000

Step-by-step explanation:

Function representing the cost to the company,

C(x) = -27x² + 51000x + 20433

Function defining the revenue generated,

R(x) = -36x²+ 303000x

Since, Profit to the company = Revenue - Cost

                                                = R(x) - C(x)

P(x) = -36x² + 303000x - (-27x² + 51000x + 20433)

      = -36x² + 27x² + 303000x - 51000x - 20433

P(x) = -9x² + 252000x - 20433

To maximize the profit,

P'(x) = -18x + 252000 [Derivative of the function P(x)]

P'(x) = 0

-18x + 252000 = 0

18x = 252000

x = 14000

Therefore, for the maximum profit company has to produce and sell 14000 phones.

Answer:

x = 48-32 = 16

y = 32/16 × 10 = 20

z = 48/32 × 26 = 39

Answer:

The circle's center is at (5, -2)

The radius is 4

Equation is

(x -5)^2 + (y - - 2)^2 = 4^2

(x -5)^2  + (y +2)^2 = 16

http://www.1728.org/circle.htm

Step-by-step explanation:

Answer:

The answer is "numeric".

Step-by-step explanation:

The Dim keyword is used in Visual Basic which is used to establish the dependent variable and other information such as the code that the variable may access the variables, computer utilizes the statement Dim. The dimensions are brief and then used to define variables. The Dim statement is placed just after sub definition only at the start of a VBA module (short for Subroutine).The variable to hold an integer value is seen in the above example.

Answer: ASA

Step-by-step explanation:

Answer:

16 pi

Step-by-step explanation:

The base is the circle

A = pi r^2

A = pi (4)^2

A = 16 pi

Answer: 16[tex]\pi[/tex] square units

Step-by-step explanation:

This figure is a cylinder. The base of a cylinder is a circle. The formula for finding the area of a circle is [tex]\pi r^2[/tex]. The radius in the image is 4. Now we can solve

[tex]\pi 4^2\\\pi 16\\16\pi[/tex]

Answer:

Y=7

Step-by-step explanation:

the 7 is the y value. the y value is = 7 when x =2

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

I found it easiest to draw arcs of radii AB and AC centered at A, and arcs of radii DB and DC centered at D. The intersection points of those arcs mark the points B' and C'. These are points B and C reflected across line AD.

Joining A, B', C', and D will make a figure symmetrical about AD.

Answer:

420 is the answer

hope it helps

Step-by-step explanation:

plz mark me brainleast

Answer:

Max E=3.8 Voltage

Step-by-step explanation:

[tex]maximum-value -of cos(\theta) =1, when \theta=0,360,720\\110\pi t=0, therefore t=0, 1.04, 2.08 etc[/tex]

The maximum voltage for the electric circuit is E = 3.8 when the value of the trigonometric function cos(110π t) has the maximum value = 1, from the range of cosine function.

The range of the trigonometric function of cosine, that is, cos θ, is [-1, 1], that is, -1 ≤ cos θ ≤ 1.

We are given that the voltage E in an electrical circuit is modeled by E = 3.8cos(110π t).

We are asked to find the maximum voltage E that can be obtained from the circuit.

The voltage E = 3.8cos(110π t).

In the given formula 3.8 is constant and cos(110π t) is variable. The value of E is maximum when the trigonometric function cos(110π t) attains the maximum value.

Since its a cos function, the maximum value it can attain = 1, as the range of the trigonometric function of cosine, that is, cos θ, is [-1, 1], that is, -1 ≤ cos θ ≤ 1.

When the variable attains the maximum value = 1, the value of the voltage E  = 3.8*1 = 3.8.

∴ The maximum voltage for the electric circuit is E = 3.8 when the value of the trigonometric function cos(110π t) has the maximum value = 1, from the range of cosine function.

Learn more about the ranges of trigonometric functions at

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Answer:

times 2 ( x 2 )

Step-by-step explanation:

These two quadrilaterals are similar because figure A's sides are 20 times less than figure B's sides. Figure A's top base is 22 while figure B's top base is 44. To find the value of figure B's side, we multiply by 2. All the sides of figure A will be similar to the figure B if multiplied by 2.

Therefore, scale factor of figure A to figure B is multiply by 2.

hope this helps...

Answer:

Scale factor is 1 to 2

or given the actual question that you asked (a-b vs b-a)

2 to 1

Step-by-step explanation:

Answers:

================================================

Explanation:

Let x be some positive real number

The 4:3 aspect ratio means the width (horizontal) portion of the tv is 4x inches while the height (vertical) portion is 3x inches

The ratio 4x:3x reduces to 4:3 after dividing both parts by x.

The 4x by 3x rectangle has the diagonal 32 inches as the instructions state. The tv size is always measured along the diagonal.

So effectively, we have two identical right triangles with legs 4x and 3x, and hypotenuse 32.

Apply the pythagorean theorem to find x

a^2+b^2 = c^2

(4x)^2+(3x)^2 = 32^2

16x^2+9x^2 = 1024

25x^2 = 1024

x^2 = 1024/25

x = sqrt(1024/25)

x = 32/5

x = 6.4

Recall that x is positive, so we ignore the negative square root here.

This 4x by 3x tv then has dimensions of

These values are exact.

The area is therefore base*height = 25.6*19.2 = 491.52 square inches

This of course only applies to the 4:3 tv that's 32 inches in diagonal.

-------------------------------

Now onto the 16:9 tv.

We'll follow the same steps as the last section. We'll use y this time

The 16:9 ratio becomes 16y:9y

a^2+b^2 = c^2

(16y)^2 + (9y)^2 = 32^2

256y^2 + 81y^2 = 1024

337y^2 = 1024

y^2 = 1024/337

y = sqrt(1024/337)

y = 1.7431510742491 which is approximate

y = 1.74315

So,

the area is approximate since the width and height are approximate. It rounds to about 437.55 square inches

-------------------------------

To recap, we found the following:

Answer:

A, y = 3x/2 - 12

Step-by-step explanation:

Use the equation y = mx + b.

m = 3/2

b = -12

y = 3x/2 - 12

Answer:

Here is your Answer

Step-by-step explanation:

Its A

A. Y = 3/2x - 12

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

12 + 6 + 2

20

[tex]\frac{6}{20}= \frac{6/2}{20/2}=\frac{3}{10}[/tex]

I have attached some answers in the photos below hope you find them useful

Answer:

0 and 1

Step-by-step explanation:

Given :

[tex]y= 2x-3\\y=2x^{2} -3[/tex]

Now equate the both equation :

[tex]2x-3=2x^{2} -3[/tex]

2x=2[tex]x^{2}[/tex]

x-[tex]x^{2}[/tex]=0

x(1-x)=0

x=0

1-x=0

x=1

Therefore, x=0,1

Answer:

48 months

Step-by-step explanation:

12 times 4 48

Answer:

48 months

There's 12 months in 1 year.

So we would multiply 12 months by 4 years to get 48 months

Answer:

x = amount of raisins

y = amount of peanuts

x+y = 5

1.50x+2.50y = 10.50

Step-by-step explanation:

I can't see a table, and im not sure what the question is, but anyways,

you solve this by using elimination or substitution in the system of equations.

Personally, substitution is easier for me so:

x+y = 5

y=5-x

1.50x+2.50(5-x) = 10.50

1.50x+12.50 -2.50x = 10.50

-1x+12.50 = 10.50

-x+12.50-12.50 = 10.50-12.50

-1x = -2

-1x/-1 = -2/-1

x = 2

y =5-x

y=5-2

y=3

Since x was the amount of raisins, and y was the amount of peanuts, we can say that Jeremy used two pounds of raisins and 3 pounds of peanuts to make his 5 pounds of trail mix.  

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]x = 1[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\3x+9=12\\--------\\\rightarrow 3x + 9 -9 = 12 - 9\\\\\rightarrow 3x = 3\\\\\rightarrow \frac{3x=3}{3}\\\\\rightarrow \boxed{x=1}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x = 1

Step-by-step explanation:

(x + a = b

 x = b - a)

    or

(x + a = b

x + a - a = b - a     [subtract both sides by a ]

 x + 0 = b - a                [ - a + a = 0 ]

  x = b - a )

[tex]3x + 9 = 12\\3x + 9 - 9 = 12 - 9\\3x + 0 = 3\\3x = 3\\\\\frac{3x}{3} = \frac{3}{3}\\\\x = 1[/tex]

Answer:

y = 3x + 12

Step-by-step explanation:

Slope of y = 3x + 5 is 3

Line parallel will have same slope 3

Line intersects point at (-2, 6)

Replace into y = mx + b to find

6 = 3(-2) + b

6 = -6 + b

12 = b

Equation of line:

y = 3x + 12

Answer:

y = 3x + 12

Step-by-step explanation:

Lines parallel to each other will have the same slope but different y-intercepts. This means that the equation of this parallel line has a slope of 3.

y = 3x + b

Now we need to find the y-intercept by plugging in the point (-2, 6) into the equation. (Replace x with -2 and y with 6.) Then we solve it.

y = 3x + b

6 = 3(-2) + b

6 = -6 + b

+6 +6

12 = b

The y- intercept is 12. So the equation of the parallel line is y = 3x + 12

Answer:

-6

Step-by-step explanation:

The y-intercept is where the line crosses the y-axis which in this case is -6

Hope this helps