Given the points X(-2, 5) and Y(2, -3), find the coordinates of the point P on
directed line segment XY thatpartitions segment XY such that the ratio of XP
to PY is 4:1
(²,3)
5
( 71/17, 173737)
(7)

Given The Points X(-2, 5) And Y(2, -3), Find The Coordinates Of The Point P Ondirected Line Segment XY

Answers

Answer 1

The coordinate of the point P will be (6/5, -7/5). Then the correct option is C.

The complete question is attached below.

What is the section of the line?

Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divide the line segment in the ratio of m:n. Then we have

x = (mx₂ + nx₁) / (m + n)

y = (my₂ + ny₁) / (m + n)

Given the points X(-2, 5) and Y(2, -3).

Then the coordinates of the point P on directed line segment XY that partitions segment XY such that the ratio of XP to PY is 4:1.

(x₁, y₁) = (-2, 5)

(x₂, y₂) = (2, -3)

m = 4

n = 1

Then the point will be

x = [4 × 2 + 1 × (-2)] / (4 + 1)

x = 6 / 5

y = [4 × (-3) + 1 × 5] / (4 + 1)

y = -7 / 5

The coordinate of the point P will be (6/5, -7/5).

Then the correct option is C.

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Given The Points X(-2, 5) And Y(2, -3), Find The Coordinates Of The Point P Ondirected Line Segment XY

Related Questions


An elevator in a tall building goes up 7 floors, then
down a floors, down 4 floors, up 8 floors, and
down 2 floors. Now it is on floor 14. On what
floor did the elevator start?

Answers

f= 14 and the answer is the elevator
started on the 14th floor. 14 + 7 - 9 - 4 + 8 - 2 :
14 Is that correct?

find the length of CB
A. 7
B. 4
C. 14
D. 2

Answers

Answer:

7

Step-by-step explanation:

5x-3 = 3x+1

2x=4

x=2

plug in

5(2)-3

10-3

7

answer: 7

The length of CB is A. 7

What is the measure of an exterior angle of a regular hexagon?

360°

180°

30°

60°

Answers

Answer:

60

Step-by-step explanation:

60 because a regular hexagon has a exterior angle measure of 60.

A regular hexagon has 6 sides you divide 360 by 6 which is 60

Ans: 60

You buy three bags of dog food that cost $27.99 each. Before tax, how much will you spend on dog food?

Answers

Answer:

83.97

Step-by-step equation:

Since there is 3 Bags of Dog food and each is 27.99, you want to multipy 27.99*3 to get your answer.

The first five terms of a quadratic sequence is 1,8,21,40,65 .
What is the nth term of this sequence?


Thanks
And will give a brainliest!!

Answers

Answer: Nth term = 5

Explanation:

An = a + ( n - 1 ) d

a = first term and

d = the difference

An = 1 + ( n - 1 ) 6

= 1n - 1 + 6

CLT

N = -1+6

N = +5 /5

Mark brainliest

Answer:

Formula To Find: [tex]a_{n} = 3n^2 - 2n[/tex]

Step-by-step explanation:

find the prem of shaded shape

Answers

Answer: 50m

Step-by-step explanation:

        The perimeter of the shape can be found by adding together all the lengths of the sides. See attached for my work.

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\textbf{The missing number inside of the irregular figure is: \boxed{\bf9}}\\\large\textbf{because we had to do, 14 - 4, which gives you \underline{10}, then}\\\large\textbf{subtract 10 from another \underline{1}, \& that gives you you 9.}\\\large\textbf{The other missing number at the bottom: \boxed{\bf 7} because it measures}\\\large\textbf{the SAME length as the top number\large\textbf{Lastly, the last missing}}\\\large\textbf{number is \boxed{\bf4}.}[/tex]

[tex]\large\textbf{Now, let's solve for your perimeter of this irregular figure, }\\\large\textbf{shall we?}[/tex]

[tex]\large\textbf{14m + 9m + 7m + 7m + 4m +4m + 4m + 1m}[/tex]

[tex]\large\textbf{= 23m + 7m + 7m + 4m + 4m + 4m + 1m}[/tex]

[tex]\large\textbf{= 30m + 7m + 4m + 4m + 4m + 1m}[/tex]

[tex]\large\textbf{= 37m + 4m + 4m + 4m + 1m}[/tex]

[tex]\large\textbf{= 41m + 4m + 4m + 1m}[/tex]

[tex]\large\textbf{= 45m + 4m + 1m}[/tex]

[tex]\large\textbf{= 49m + 1m}[/tex]

[tex]\large\textbf{= 50m}[/tex]

[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{\mathsf{50m}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

If
tan (0) = -√3
then one possible value of
0
in degrees is:

Answers

One possible answer is 120°

can someone please help meee

Answers

Answer:

Step-by-step explanation:

Ok so you are given the values of the slope-intercept form with m being the slope and b being the y-intercept. So since b is equal to -1 you want to plot a point at (0, -1) since that is the y-intercept (when x = 0). The next thing you want to do is look at the slope, which is essentially saying each time x increases by 5 the y-value decreases by 4 or in other words rise/run which is negative which is why you're going down. So from the point (0, -1) go forward 5 units and go down 4 units which should lead you to (5, -5) and the third point you can plot is by going backwards instead of forwards. So instead of every time x increases by 5 y decreases by 4 you're going to do the inverse. Every time x decreases by 5, y is going to increase by 4. So by doing this from the y-intercept (0, -1) you should go backwards 5 units and up 4 units which should lead you to (-5, 3). And then now just draw a line that goes through all those three points. Hope that helps :)

Can someone help me please???

Answers

Answer:

c is the answer. I hope that helps

20 points!!
Flynn is playing with a toy that is tied to his hand by a string. The toy falls toward the floor then rises back toward Flynn's hand, and repeats this motion, following the path illustrated by given graph.

Answers

The function is h(t) =  7/4 cos π/3 t + 9/4,

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

As, h(t) =  x cos π/3 t +y

when t= 0, h(t) = 4

when t= 3, h(t) = 0.5

So,

x cos π/3 *0 +y=4

x cos π/3 *3 +y=0.5

and, x+ y = 4,   -x+ y =0.5

Now,

2y= 4.5

y= 9/4

and, x= 4-9/4= 7/4.

Hence, h(t) =  7/4 cos π/3 t + 9/4

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Answer:got it right

h(t)=1.75, cos(1/3), + 2.25

Step-by-step explanation:

Question 1 (Essay Worth 10 points)
(07.01, 07.02 MC)
An expression is shown below:
4ck2 + 10k- 16ck 40k

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

Answer:

a)

The GCF is 2k hence: 2k(2ck + 5k - 8c - 20)

b)

2k(2ck + 5k - 8c - 20)

After further factorization:

2k(k - 4)(2c + 5)

How to determine whether square root equation is always, sometimes , never, or true?

Answers

Answer:

While identity is true for all values of x, an equation may be true only for some values of x, or for no values of x. Examples: 2x + 6 = 4 is true when x = -1, but not when x = 0. The equation x + 5 = x is never true because a number is never equal to five more than itself.

Step-by-step explanation:

I hope this helps

let pheta be an acute angle. if cos2pheta+cos^2pheta=1, then cospheta=

2/3
1
√6/3
√2/3​

Answers

The required value of  value of cospheta = √2/3​, here correct option is d) √2/3​.

The given equation is a Trignomatric Equation,
cos2pheta+cos^2pheta = 1

What are trigonometric equations?

These are the equation which contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.



cos2pheta + cos^2pheta = 1
Now we know that,

[tex]cos2x[/tex] = [tex]cos^2x -1[/tex]

so, substituting  cos2pheta = 2cos^2pheta - 1
2cos^2pheta-1 + cos^2peta = 1
3cos^2peta = 2
cos^2pheta = 2/3
cospheta = √2/3​

Thus, the required value for the cospheta = √2/3​.

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find the value of x

Answers

Answer:

x=5

\

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

Line segment UV and line segment VW together form line segment UW.

UV + VW = UW

(5 + x) + (6) = (2x + 11)

5 + x + 6 = 2x + 11

x + 11 = 2x + 11

x + 11 - 11 = 2x + 11 - 11

x = 2x

x - x = 2x - x

0 = x

You can also verify the result by substituting x with our result 0.

5 + x + 6 = 2x + 11

5 + (0) + 6 = 2(0) + 11

11 + 0 = 0 + 11

11 = 11

Left side of the equation is the same as the right side of the equation, therefore the result x = 0 is correct.

Follow the steps to find the
area of the shaded region.
Use trigonometry to find
the height of the triangle.
Hint: Use SOHCAHTOA
h = [?] cm
51%
8 cm
Round to four decimal places.
129°
8 cm

Answers

Answer:

6.2172

Step-by-step explanation:

sin129=h/8

h=8(sin129)

8 x 0.77714596... =

6.2172

I just did it.

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The height of the triangle is 6.2172 cm.

What is Sine (Sinθ)?

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

In the given diagram let the centre of the circle be represented by O, while the point at which line segment h and the circle intersect be represented by B. Also, the point at which the 90° angle is formed is represented by A.

Now, in the ΔABO, for the ∠AOB, the sine ratio of the trigonometric function can be written as,

sin(θ) = perpendicular / Hypotenuse

sin(51°) = AB / OB

sin(51°) = h/ 8 cm

8cm × sin(51°) = h

h = 6.2172 cm

Hence, the height of the triangle is 6.2172 cm.

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The sum of three consecutive multiples of 7 is 693. Find the no​

Answers

Let x be a multiple of 7

The next two consecutive multiples of 7 are x + 7 and x + 7 + 7 (i.e. x + 14)

Three consecutive multiples of 7 are

xx + 7x + 14

According to the condition

[tex] \\ \large\blue\longrightarrow\rm \large \:x \: + \: (x \: + \: 7) + (x \: + \: 14) \: = \: 693[/tex]

[tex] \large\blue\longrightarrow \rm \large \:3x \: + \: 21 \: = \: 693[/tex]

[tex] \large\blue\longrightarrow \rm \large \:3x \: = \: 693 \: - \: 21[/tex]

[tex] \large\blue\longrightarrow \rm \large \:3x \: = \: 672[/tex]

Dividing both sides by 3 , we have

[tex]\large\blue\longrightarrow \rm \large \: \frac{3x}{3} \: = \: \frac{672}{3} \\ [/tex]

[tex]\large\blue\longrightarrow \rm \large \: \ \: \frac{ \cancel3x}{ \cancel3} \: = \: \frac{ \cancel{672} \: \: ^{ \red{224}} }{ \cancel3} \\ [/tex]

[tex]\large\blue\longrightarrow \rm \large \:x \: = \: 224 \\[/tex]

x = 224x + 7 = 224 + 7 = 231x + 14 = 224 + 14 = 238

Three consecutive multiples of 7 are

224231238

Which graph represent f of x equals square root of the quantity x plus 2 end quantity minus 3? The graph shows a curve with an end point at 2 comma 3 that increasing to the right The graph shows a curve with an end point at 3 comma 2 that increasing to the right The graph shows a curve with an end point at negative 3 comma negative 2 that increasing to the right The graph shows a curve with an end point at negative 2 comma negative 3 that increasing to the right

Answers

The graph of the function:

[tex]f(x) = \sqrt{x + 2} - 3[/tex]

Is the last graph (bottom graph of the second image).  

Which graph represents the given function?

Here we have the function:

[tex]f(x) = \sqrt{x + 2} - 3[/tex]

Remember that the argument of a square root must be zero or larger, then the minimum of the domain is the value of x such that:

x + 2 = 0

x = -2

Then the function starts at:

[tex]f(-2) = \sqrt{-2 + 2} - 3 = -3[/tex]

Then the graph should start at (-3, 2).

We can also identify another point by evaluating in x = 2.

[tex]f(2) = \sqrt{2 + 2} - 3 =2 - 3 = -1[/tex]

So the function also passes through (2, - 1).

Notice that the only graph that contains these two points is the last graph (the bottom graph on the second image), so that is the correct option.

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Answer:

D

Step-by-step explanation:

 did the test got it right

1. Which is the better deal?
A. 3 pack of granola bars for $0.93
B. 8 pack of granola bars for $2.72
C. 9 pack of granola bars for $2.97
D. 6 pack of granola bars for $1.92

Answers

Answer:

A or 0.31 per bar

Step-by-step explanation:

To solve this problem we want to find the price of the singular bar and find the cheapest one. So we will divide the amount of bars by the total price, so option A will equal 0.31, option B will equal 0.34, option C will equal 0.33, and option D will equal 0.32. The cheapest per bar price would be a or 3 pack of granola bars for 0.93 cents.

What is the vertex of the quadratic function below y=-x^-2x-5

Answers

Answer:

(-1, -4)

Step-by-step explanation:

y = -x² - 2x - 5

y = -1(x² + 2x + 5)

y = -1(x² + 2x + 1 - 1 + 5)

y = -1(x² + 2x + 1) - 4

y = -(x + 1)² - 4

13x13x13=????


I too lazy to calculate

Answers

Answer:

13×13×13=2197 that is the answer

solve for x -3x > 12

Answers

Answer:

x < -6

Step-by-step explanation:

x -3x > 12

Combine like terms

-2x>12

Divide by -2, remembering to flip the inequality

-2x/-2 < 12/-2

x < -6

Answer:

x < -6

Step-by-step explanation:

x-2y=15
x-3=4y
Simultaneous equation find x and y

Answers

Answer:

x = 27, y = 6

Step-by-step explanation:

x - 2y = 15

x - 4y = 3 (rearranged the orginal equation)

  x - 2y = 15

-  x - 4y = 3

___________

2y = 12

y = 6

Plug this value in any original equation

x - 2(6) = 15

x = 27

x and y of the simultaneous equation are 27 and 6 respectively.

Given,

x - 2y = 15

x - 3 = 4y

Here,

Equations:

x - 2y = 15

Rearranged the original equation

x - 4y = 3

Now subtract both equations,

x - 2y = 15

x - 4y = 3

⇒2y = 12

y = 6

Plug this value in any original equation

x - 2(6) = 15

x = 27

Thus the solution of system of equation is x = 27 and y = 6.

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does anyone know how to simplify this problem

Answers

Answer:

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

Step-by-step explanation:

→ Add the powers together

[tex]x^{\frac{3}{7} {-\frac{5}{7} }[/tex]

→ Simplify

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

Sorry I only have the answer key, lol, but for #13, can someone explain to me where they got 4.6 from?? ty and I don't need an explanation for 14; I just couldn't crop the photo

Answers

The measure of the side RS from the figure is 4.6 units

Midpoint theorem of a trapezium

The given figures are trapezoid. Given the following parameters

PQ = 4RS

We need to determine how PR is equivalent to 4.6

Since PQ = 18.4 from the diagram, hence;

18.4 = 4RS

RS = 18.4/4

RS = 4.6 units

Hence the measure of the side RS from the figure is 4.6 units

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Practice Question:

f(x)= 3x^2 + 4x - 6
g(x)= 6x^3 - 5x^2 - 2

Find (f + g)(x)

Answer Options (Choose one):

A. (f+g)(x) = -6x^3 + 8x^2 + 4x -4

B. (f+g)(x) = 6x^3 + 3x^2 - x - 8

C. (f+g)(x)= 6x^3 - 2x^2 + 4x - 8

D. (f+g)(x)= 9x^3 - x - 8

Answers

The correct option of the function is C. (f+g)(x)= 6x^3 - 2x^2 + 4x - 8.

What is a function?

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

f(x)= 3x^2 + 4x - 6

g(x)= 6x^3 - 5x^2 - 2

So,

(f + g)(x) = (3x^2 + 4x - 6) + (6x^3 - 5x^2 -2)

(f + g)(x) = 3x^2 + 4x - 6 + 6x^3 - 5x^2 - 2

Now, like terms and in order of exponent

(f + g)(x) = 6x^3 - 2x^2 + 4x - 8

Therefore, the correct option is C. (f+g)(x)= 6x^3 - 2x^2 + 4x - 8.

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i need helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

sorry. thats a hard one. math isn't. my area best of luck

If 1-cosA = 1/2 , Then find the value of sinA.

Answers

Step-by-step explanation:

Given :

1- cosA = 1/2

or, CosA = 1 -1/2

Therefore ; CosA = 1/2 = b/h

According to the Pythagoras theorem,

P = root under h^2 - b^2

= root under (2)^2 - (1)^2

= root under 4 -1

= root 3

Again,

SinA = P/h

= root 3 / 2

Given ST|UV and SU || TV, find the measure of each angle below.
Find the angle of STU
Find the angle of TVW

Answers

Answer: [tex]\angle STU=34^{\circ}, \angle TVW=116^{\circ}[/tex]

Step-by-step explanation:

By the alternate interior angles theorem,

[tex]3x+4=2x+14\\\\x+4=14\\\\x=10\\\\\implies \angle STU=3(10)+4=\boxed{34^{\circ}}[/tex]

By the alternate interior angles theorem, [tex]\angle UTV=82^{\circ}[/tex], and we also know that [tex]\angle TUV=34^{\circ}[/tex].

Thus, by the exterior angle theorem,

[tex]\angle TVW=82+34=\boxed{116^{\circ}}[/tex]

Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear graph line diagram, A line passes through (minus 4, minus 2) and (2, minus 0.5) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. B. In a linear graph line diagram, A line passes through (2, 0.5) and (minus 4, 2) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. C. In a linear graph line diagram, A line passes through (2, 4) and (0.5, minus 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units. D. In a linear graph line diagram, A line passes through (2, minus 4) and (0.5, 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units.

Answers

The graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

What is the slope?

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The question is incomplete:

The complete question is:

Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?

Please refer to the attached picture.

The given line:

y = 4x - 2

The slope of the line m = 4

The slope of the line which is perpendicular to the above line:

M = -1/4 = -0.25

The graph second has a slope of -0.25

[tex]\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)[/tex]

y - 2 = -0.25x - 1

y = -0.25x + 1

Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

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the only difference between the set of whole numbers and the set of natural numbers is that 0 is only included in the set of (circle answer)

whole numbers or natural numbers).

Answers

Answer:

Whole numbers

Explanation:

0 is a whole number, but not a natural number. Whole numbers include all natural numbers and 0.

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