Given the points A(-1,2) and B(7,10), find the coordinates of the point P on the directed line segment AB that partitions AB into ratio 1:3. What is the answer for point P?

Given

A(2,8), B(2,4), C(8,4)

A 90° clockwise about the origin has the following rules

Apply these rules to each of the point and we get

Drawing a diagram of the image we have the following

The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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The average rate of change of the function over the interval is 4

From the question, we have the following parameters that can be used in our computation:

y = 4x + 1

The interval is given as

[-1, 1)

The function is a linear function

This means that it has a constant average rate of change

From y = 4x + 1, we have

Rate = 4

Hence, the rate is 4

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The value of the sum, difference and composite function a[b(x)] are 19x - 8, -5x + 28 and 84x - 136 respectively

Given the following functions a(x) = 7x + 10 and b(x) = 12x - 18

Take the sum

(a+b)(x) = a(x) + b(x)

(a+b)(x) = 7x + 10 + 12x - 18

(a+b)(x) = 19x- 8

Take the difference

(a-b)(x) = a(x) - b(x)

(a-b)(x) = 7x + 10 - 12x + 18

(a-b)(x) = -5x + 28

For the composite function a[b(x)].

a(12x- 18) = 7(12x-18) - 10

a[b(x)] = 84x - 126 - 10

a[b(x)] = 84x - 136

Hence the value of the sum, difference and composite function a[b(x)] are 19x - 8, -5x + 28 and 84x - 136 respectively

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If k and l are parralel, that means if you move them to each other, or shift k, you will get the same angle as ABC. Thus, it's still going to be 19 degrees.

Answer:

i had this in rsm a long time ago, i think the answer(if it's an equation) should be:

6x + x = 7x

yeah sorry i forgot scream scream

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

Let x represent the number of minutes that Eric drove.

Tyler drove twice as long as Eric. This means that the distance that Yyler drove is 2x

Joc drives 25 minutes more than Eric. This means that the distance that Joc drove is x + 25

If they drove for a total of 145 minutes, it means that

x + 2x + x + 25 = 145

4x + 25 = 145

4x = 145 - 25

4x = 120

x = 120/4

x = 30

Eric drove for 30 minutes

Tyler drove for 2 * 30 = 60 minutes

Joc drove for 330 + 25 = 55 minutes

Answer:

measure of arc JL = 55°

measure of angle PKJ = 27.5°

Answer:

10x=40

x=40/10

x=4

4 is the answers, not -4

Step-by-step explanation:

pls mark as brainliest

The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Part A:

Given:

To find an equation,

Where x is number of monthly minutes.

and y is total monthly of splint plan.

So, equation is:

\(\rightarrow \text{y} =\text{mx} +\text{b}\)

For the first case:

\(\rightarrow\bold{173 = 380x + b}\)

Second case:

\(\rightarrow\bold{249= 570x + b}\)

Solve for x:

\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)

\(\rightarrow{-207=-321\)

\(\rightarrow \text{x} =\dfrac{321}{207}\)

\(\rightarrow \text{x} =\dfrac{107}{69}\)

\(\rightarrow \text{x} \thickapprox1.55\)

For value of b

\(\rightarrow 173 = 380(1.55) + \text{b}\)

\(\rightarrow 173 - 589 = \text{b}\)

\(\rightarrow -416 = \text{b}\)

Part B:

\(\rightarrow \text{y} = 942(1.55) - 416\)

\(\rightarrow \text{y} = 1460.1 - 416\)

\(\rightarrow \text{y} \thickapprox1044\)

Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

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Using the coordinates of the vertices of a polygon (-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1) the perimeter of the polygon is 16.0 units

The perimeter is calculated by summing the sides

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

(-3, 1) and (-3, 3) =√{(-3 - -3)² + (3 - 1)²} = 2

(-3, 3) and (-1, 5) = √{(-1 - -3)² + (5 - 3)²} = 2√2

(-1, 5) and (2, 4) = √{(2 - -1)² + (4 - 5)²} = √10

(2, 4) and (2, 1) = √{(2 - 2)² + (1 - 4)²} = 3

(2, 1) and (-3, 1) = √{(-3 - 2)² + (1 - 1)²} = 5

The perimeter = 2 + 2√2 + √10 + 3 + 5

The perimeter = 15.9907

The perimeter = 16.0 units

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Part A: β₂ = β₁ + 10 log₁₀ (f)

Part B: Δβ = 20 log10 (d₁/d₂)

This can be solved using the concept of sound intensity.

While amplitude is the distance between a wave's resting position and its crest, sound intensity is defined as the sound power per unit area. The power carried by sound waves per unit area in a direction perpendicular to that region is known as sound intensity or acoustic intensity. The watt per square metre is the SI measure of intensity that includes sound intensity.

Part A:

β₂ - β₁ = 10 log₁₀ (I₂/I₁)

given that : I₂ = f × I₁

hence, I₂/I₁ = f

so the equation becomes:

β₂ - β₁ = 10 log₁₀ (f)

β₂ = β₁ + 10 log₁₀ (f)

Part B:

P = Power by the source

I₁= intensity at distance d1 = P/(4πd₁²)

I₂ = intensity at distance d2 = P/(4πd₂²)

Δβ = β₂ - β₁ = 10 log₁₀ (I₂/I₁)

β₂ - β₁ = 10 log₁₀ ((P/(4πd₂²))/(P/(4πd₁²)))

Δβ = 10log₁₀  ((d₁/d₂)²)

Δβ = 20log₁₀ (d₁/d₂)

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Answer:

x = 2 and y = 0

Step-by-step explanation:

x - 2y = 2

3x + y = 6

using the substitution method, we solve the first equation for 'x' to get

x = 2y + 2

plug that into 'x' in the second equation

3(2y + 2) + y = 6

6y + 6 + y = 6

7y = 0

y = 0

find 'x':

3x + 0 = 6

x = 6/3

x = 2

Answer:

x=2

Step-by-step explanation:

well, since we know that there are 180° in π radians, how many degrees will it be in 345°?

\(\begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\ 345&x \end{array}\implies \cfrac{180}{345}~~ = ~~\cfrac{\pi }{x}\implies \cfrac{12}{23}~~ = ~~\cfrac{\pi }{x} \\\\\\ 12x=23\pi \implies x=\cfrac{23\pi }{12}\)

Answer:

c

Step-by-step explanation:

100% sure and correct :) ❤️

Using simple interest, it is found that his salaries are as follows:

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

\(A(t) = A(0)(1 + rt)\)

In which:

In this problem, considering the time from the beginning of 2018, and the interest rate of r = 0.11, his salaries for each year are given by:

\(A(1) = 17.1[1 + 0.11(1)] = 18.981\)

\(A(2) = 8.9[1 + 0.11(2)] = 10.858\)

\(A(3) = 7.5[1 + 0.11(3)] = 9.975\)

\(A(4) = 8.25[1 + 0.11(4)] = 11.88\)

\(A(5) = 8.25[1 + 0.11(5)] = 12.7875\)

Hence, his salaries are as follows:

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According to the property of cofunctions, \($\sin 30^{\circ}$\) exists equivalent to

\($\cos 60^{\circ} \cdot \sin 30^{\circ}=1 / 2$\).

A trigonometric function whose value for the complement of an angle exists equivalent to the value of a given trigonometric function of the angle itself the sine exists the cofunction of the cosine.

According to the property of cofunctions, \($\sin 30^{\circ}$\) exists equivalent to

\($\cos 60^{\circ} \cdot \sin 30^{\circ}=1 / 2$\).

Therefore, the correct answer is option B. 1/2.

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Answer:

Approximately 14-15

Step-by-step explanation:

This is because 60 percent are not playing games, meaning they haven’t completed their assignment. You then just find 60 percent of 24(the total). That is 14.4 so you round it because you can’t have half of a person, it needs to be a whole number.

(2, -3)

y = -2x + 1 ...equation 1

x + 2y = -4 ...equation 2

To determine the points to plot, we'll assign values for x inorder to get values for y in eqach of the equations:

let x = 0, 1, 2, 3

y = -2x + 1

when x = 0

y = -2(0) + 1 = 1

when x = 1

y = -2(1) + 1 = -1

when x = 2

y = -2(2) + 1 = -3

when x = 3

y = -2(3) + 1 = -5

x+2y=-4

when x = 0

0 + 2y = -4

y = -2

when x = 1

1 + 2y = -4

y = -5/2 = -2.5

when x = 2

2 + 2y = -4

y = -3

when x = 3

3 + 2y = - 4

y = -7/2 = -3.5

Plotting the graphs:

The solution of the system of equations is the point of intersection of both graphs.

The graphs meet at (2, -3).

Hence, the solution (x, y) = (2, -3)

If the height of a right triangular prism is 1⁵/₆ inches. The surface area of the solid formed is 598.33 in².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.

First step:-

Right triangular prism=1⁵/₆ inches= 11/6 inches

Height of the base=8²/₃ inches = 26/3 inches

Second step:-

Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)

Surface area = 5(100) +43.33+ 3(18.33)

Surface area = 500) +43.33 + 55

Surface area = 598.33 in²

Therefore the surface area of the solid formed is about 598.33 in²

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Step-by-step explanation:

a 43

hope it helps

your welcome

Both the gongs will strike together at 3 pm.

Given,

Two gongs strike at intervals 90 and 60 minutes respectively.

Use LCM to find at what time they will strike together

Using prime factorization:

LCM of (60,90)=\(2^2*3^2*5=4*9*5=180\)

They will strike together after 180 minutes i.e. 3 hours

Hence, if they start simultaneously at 12 noon then they will strike together again at 3 pm

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Answer:

side 1^2 + side 2 ^2 = hypotenuse ^ 2

18^2 + 20^2 = hypotenuse^2

324 + 400 = 724

hypotenuse^2 = 724

hypotenuse = 26.9072480941474

hypotenuse = 26.9

Step-by-step explanation:

Answer:

y = 21

Step-by-step explanation:

When x is directly proportional to y:

When x increases, y also increases.

In this case, it is so you write,

1. Write down the formula: y=kx

k being the constant.

Let's use "When x = 4, y = 7" to work out the constant.

2. Substitute the 'when' values: 7=k×4

3. Rearrange to find the constant: 7÷4=k

4. Find k: k=1.75

Now let's see the new problem, 'what is y when x = 12'.

5. Substitute the values now but keep the constant: y = 1.75 × 12

6. Rearrange if needed.

7. Find the missing value: y = 21

Hope this helped and if you require further assistance from me please comment below! :)

Ps: If it was inversely proportional then the formula would be y = k / x

with k still being the constant.

Given that the slope is m=3 and that the line passes through the point (4,1), we can use the point-slope formula to find the equation of the line:

Now we can easily graph the line if we make y=0 and x=5

Then the graph is the following:

Answer:

The value is \(\mu_{x} = 5.6 \ years\)

Step-by-step explanation:

From the question we are told that

   The population mean is  \(\mu = 5.6 \ years\)

    The standard deviation is  \(\sigma = 0.9 \ years\)

    The sample size is  n  =  49  

Generally given that the sample size is large enough, the  sampling distribution created using the samples of the ages at which 49 children begin reading is equal to the population mean

i.e

     \(\mu_{x} = \mu\)

=>  \(\mu_{x} = 5.6 \ years\)

The probability that you select a Jack given that it is a Club P(Jack∣Club) is 1/13.

The probability that you select a Club given that it is a Jack is P(Club∣Jack) is 1/4.

The probability that you select a card that is NOT a Jack given that it is NOT a Club,P(NotJack∣NotClub) is 47/38

The probability that you select a card that is NOT a Club given that is it NOT a Jack is 38/47

The probability that you select a Jack given that it is a Club P(Jack|Club):

There are 4 Jacks in a deck (one for each suit), and since we are given that the selected card is a Club, we only need to consider the 13 cards in the Club suit.

So, the number of favorable outcomes is 1 (the Jack of Clubs), and the total number of possible outcomes is 13 (the number of cards in the Club suit)

P(Jack|Club) = 1 / 13

The probability that you select a Club given that it is a Jack

P(Club|Jack):

P(Club|Jack) = Number of favorable outcomes / Total number of possible outcomes

P(Club|Jack) = 1 / 4

The probability that you select a card that is not a Jack given that it is not a Club

P(NotJack|NotClub):

The number of cards that are not Jacks is 52 - 4 = 48 (since there are 4 Jacks in the deck), and the number of cards that are not Clubs is 52 - 13 = 39 (since there are 13 cards in the Club suit).

P(NotJack|NotClub) = Number of favorable outcomes / Total number of possible outcomes

P(NotJack|NotClub) = (48 - 1) / (39 - 1)

=47/38

P(NotClub|NotJack) = (39 - 1) / (48 - 1)

=38/47

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