If point P is 4/7 of the distnace frm M to N, what ratio does the point P partiion the directed line segment from M to N

Answers

Answer 1

Answer: 4:3.

Step-by-step explanation:

Given: Point P is [tex]\dfrac{4}{7}[/tex] of the distance from M to N.

To find: The ratio in which the point P partition the directed line segment from M to N.

If Point P is between points M and N, then the ratio can be written as

[tex]\dfrac{MP}{MN}=\dfrac{MP}{MP+PN}[/tex]

As per given,

[tex]\dfrac{MP}{MP+PN}=\dfrac{4}{7}\\\\\Rightarrow\ \dfrac{MP+PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{MP}{MP}+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ -1+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{7}{4}-1=\dfrac{7-4}{4}=\dfrac{3}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{3}{4}\ \ \or\ \dfrac{MP}{PN}=\dfrac{4}{3}[/tex]

Hence, P partition the directed line segment from M to N in 4:3.


Related Questions

the area of a rectangular sandbox can be expressed as 72xy + 18x the width of the sandbox is 9x what is the perimeter of the sandbox

Answers

Answer:

  18x +16y +4

Step-by-step explanation:

The area is the product of length and width, so the length is ...

  A = LW

  L = A/W = (72xy +18x)/(9x) = 8y +2

The perimeter is double the sum of length and width:

  P = 2(L +W) = 2(8y +2 +9x)

  P = 18x +16y +4 . . . . the perimeter of the sandbox

3. 10 + (8 x 3) - 32

Answers

Answer:

[tex]2[/tex]

Step-by-step explanation:

In order to find the answer to this question use PEMDAS and solve.

[tex]10+(8\times3)-32[/tex]

P goes first:

[tex]8\times3=24[/tex]

[tex]10+24-32[/tex]

A goes next:

[tex]10+24=34[/tex]

S goes last:

[tex]34-32=2[/tex]

[tex]=2[/tex]

Hope this helps.

Answer:

2

Step-by-step explanation:

10 + (8 x 3) - 32

So I’m assuming the x represents multiplication

10 + (8*3) - 32

In Pemdas parenthesis is always first

(8*3)=24

10+24-32

Then addition

10+ 24=34

34-32=2

Select the correct answer.
Based on the data in this two-way table, if a girl is randomly selected, what is the probability that she will have above-average grades?

Gender/Grade Below Average Above Average Total
Boy 14 23 37
Girl 16 22 38
Total 30 45 75
A.
0.29
B.
0.51
C.
0.58
D.
0.60

Answers

Answer:

Answer is C. 0.58

Step-by-step explanation:

22/38 = 0.57 something rounded to 58

arcs and circles formula? can someone help me find the answer?

Answers

Answer:

9.2 cm

Here,

The length of an arc of a sector with theta nag radius'r' is:

[tex] \frac{theta}{360} 2\pi \: r[/tex]

CD=?

Radius=7.9 cm

theta=66.4

Length of CD

[tex] \frac{66.4}{360} \times 2 \times \pi \times 7.9 \\ = \frac{66.4}{360} \times 2 \times 3.14 \times 7.9 \\ = 9.1506 \\ = 9.2 \: cm[/tex]

Hope this helps...

Good luck on your assignment..

2. in a geometric progression
the first term is 64 and the
fourth term is 27. Calculate
(a) the common ratio​

Answers

Answer:

0.75 or 3/4

Step-by-step explanation:

If we call the common ratio r, since 4 - 1 = 3 we can write:

64 * r³ = 27

r³ = 27/64

r = ∛(27/64) = ∛27 / ∛64 = 3 / 4

Answer:

(a) the common ratio = 3/4.

Step-by-step explanation:

First term a1 = 64

The fourth term a4 = a1 r^3 = 27

So a1 r^3 / a1 = 27/64

r^3 =  (27/64)

r = ∛ (27/64

= 3/4.

can someone please help​

Answers

X= 28
2x + 2 = 58
2x = 56
X = 28

Answer: 57°

Step-by-step explanation:

Bisecting makes angle ZXY=ZXW. So 58+58=116.

Then solve. 2x+2=116.

2x=114

x=57

Can someone help me plzzzzz

Answers

Answer:

C

Step-by-step explanation:

I think answer should be c. Please give me brainlest I hope this helps

(-4,-2) obtained by translating 3 units up followed by a reflection over the x axis

Answers

Answer:

Original Coordinates: (-4, 5)

Step-by-step explanation:

We simply take the opposite directions to find our original coordinates.

Step 1: Translate 3 units down

(-4, -2) --> (-4, -5)

Step 2: Reflect over x-axis

(-4, -5) --> (-4, 5)

Using side lengths only, could the triangles be similar? Triangle X Y Z. Side X Y is 1.5, X Z is 1, Z Y is 2. Triangle Q S R. Side Q R is 1, R S is 1.5, S Q is 0.5.

Answers

Answer:

  no

Step-by-step explanation:

In ∆XYZ, we can write the ratios of the sides from shortest to longest as ...

  y : z : x = 1 : 1.5 : 2 = 2 : 3 : 4

In ∆QSR, we can write the ratios of the side lengths from shortest to longest as ...

  r : s : q = 0.5 : 1 : 1.5 = 1 : 2 : 3

Based on side lengths only, the triangles cannot be similar.

__

Additional note

Even if shortest-to-longest side ratios were the same, the triangle naming is incorrect for them to be similar.

ILL MARK YOU BRAINLIEST :))))) if you apply the changes below to the linear parent function, f(x)=|x|, what is the equation of the new function Shift 4 units left Shift 2 units up

Answers

Answer:

f(x) = |x + 4| + 2.

Step-by-step explanation:

When you shift the function to the left, the x-value changes, so you put the change within the absolute value. Also, within the absolute value, when you shift things to the right, you minus, and when you shift to the left, you add.

When you shift the function up, the y-value changes, so you put the changes outside of the absolute value. Shifting up means adding and shifting down means subtracting.

Hope this helps!

The graph below shows a line of best fit for data collected on the number of toys sold at a toy store since the opening of the store. Based on the line of best fit, how many toys were sold 13 days after the store opened?

A.) 195
B.) 260
C.) 325
D.) 130

Answers

The answer that line of best fit, how many toys were sold 13 days after the store opened is A.) 195

Please help i will mark brainliest

Answers

Answer:

y=-6x+1

Step-by-step explanation:

HELP MEEEEE PLEASEEEEE SOMEONE!!

Answers

Answer:

A

Step-by-step explanation:

the triangles share one angle and they have two equal sides

Work out x. Give reasons for your answer.

Answers

Answer:

The measurement for x is 80°

Step-by-step explanation:

In the picture, we see two parallel lines cut by a transversal line. Since the lines are cut by a transversal, then there are a few things we should know that can help us find the value of x.

Corresponding angles are congruent. Angles that are right beside each other (such as ∠CBD and ∠CBA) are a linear pair. This means that they have a total measurement of 180° when added together.

Now that we know these things, we can use this information to find the measurement of ∠CBA. We do this by subtracting 100 from 180 because ∠CBA and ∠CBD are a linear pair. Once we know the measurement of this angle, then it will be much easier to find the value of x.

180 - 100 = 80

So, the measurement of ∠CBA is 80°. Now, ∠CBA and ∠x are corresponding angles so this means that they have the same measurements. If the measurement of ∠CBA is 80°, then the measurement of ∠x is also 80°

x = 80°

What is the height of the prsim if there is 3 meters,2 meters, and the volume is 36 cublic meters

Answers

Answer: The height is 6 meters

Step-by-step explanation:

3 * 2 *h = 36   where h is the height

6h = 36

h = 6

Answer:

The answer is 6

Step-by-step explanation:

Because you would have to get 6h=36 alone so you would have to divide 6 by both sides. which gives you h=6

What is the slope of the line represented by the equation y = 5 x – 3?
0-3
4
o
5
tln m
O 3​

Answers

Answer:

the slope is 5

Step-by-step explanation:

y = 5 x – 3

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

the slope is 5 and the y intercept is -3

Answer:

The Slope is 5

Step-by-step explanation:

As seen in the y-intercept equation, 5x is shown as the slope of the line.

.......................

Answers

Answer:

Width: [tex]10y^6[/tex]

Length: 7y² + 3

Step-by-step explanation:

Step 1: Factor out 10

[tex]10(7y^8+3y^6)[/tex]

Step 2: Factor out [tex]y^6[/tex]

[tex]10y^6(7y^2+3)[/tex]

According to the question, the width is the monomial (1 term), so that is equal to [tex]10y^6[/tex]. That means the distributed part would be the length (7y² + 3).

I'm not sure if I clicked the right answer, I hope you can help me :D

Answers

It’s B.

Probability of getting green or yellow marble is 7/20, getting blue is 1/4

7/20*1/4=7/80

Answer this question ​

Answers

Answer: a.) (3x +1)(2x +3)

Step-by-step explanation:

The factors that work to get the middle term, 11x, are 3×3x = 9x and 1×2x=2x. 2x +9x = 11x

Help me with this somebody.

Answers

Answer:

B, √140

Step-by-step explanation:

√28+√112 = √140

Solve the following equation for x: -7 + 4x + 10 = 15 - 2x *

Answers

Answer:

x=2

Step-by-step explanation:

-7+4x+10=15-2x

combine like terms

4x+3=15-2x

add 2x to both sides

6x+3=15

subtract 3 on both sides

6x=12

divide 6 on both sides

x=2

is 1.25 the same as 25%?

Answers

Answer:

No

Step-by-step explanation:

1.25 as a percentage is 125%.

25% as a decimal is 0.25.

Is this function linear or nonlinear y=1/2x^{2}
will give brainliest

Answers

Answer:

nonlinear

Step-by-step explanation:

The word 'linear' means something having to do with a line. On a Cartesian Plane, a linear characteristic is a feature wherein the graph is a straight line. The line can cross in any direction, but it's always an instant line. A non-linear function has a shape that isn't an immediate line

The graph is nonlinear because it is not a straight line.

please mark me brainliest!

Answer:

Nonlinear.

Step-by-step explanation:

Since x is being squared, the equation is actually a parabola. The power of x has to be 1 for the function to be a linear function, so this equation is nonlinear.

Hope this helps!

The sum of the squares of three consecutive even integers is 980. Determine the integers.

Answers

Answer:

  16, 18, 20

Step-by-step explanation:

We can estimate that the square of the middle integer will be about 1/3 of 980. Then the middle integer is about ...

  √(980/3) ≈ 18.09

The integers are 16, 18, 20.

_____

Check

  16^2 +18^2 +20^2 = 256 +324 +400 = 980

Answer:

16, 18, 20

Step-by-step explanation:

Let the three consecutive even integers be (x - 2), x, (x + 2)

[tex] \therefore \: {(x -2 )}^{2} + {x}^{2} + {(x + 2)}^{2} = 980 \\ \therefore \: {x}^{2} - 4x + 4 + {x}^{2} + {x}^{2} + 4x + 4 = 980 \\ \therefore \: 3{x}^{2} + 8 = 980 \\ \therefore \: 3{x}^{2} = 980 - 8 \\ \therefore \: 3{x}^{2} = 972 \\ \\ \therefore \: {x}^{2} = \frac{972}{3} \\ \\ \therefore \: {x}^{2} = 324 \\ \therefore \: x = \pm \sqrt{324} \\ \therefore \: x = \pm \: 18 \\ \because \: x \: is \: even \: integer \\ \therefore \: x \neq - 18 \\ \therefore \: x = 18 \\ \\ x - 2 = 18 - 2 = 16 \\ x = 18 \\ x + 2 = 18 + 2 = 20 \\ [/tex]

Hence, three consecutive even integers are : 16, 18, 20.

The world record for the largest collection of bookmarks is 71 235 bookmarks. Find the closest benchmark for each: a) in thousands _______________ b) in hundreds _______________ c) in tens _______________

Answers

Answer:

A: 71,235,000

B: 71,235,00

C: 71,240

Step-by-step explanation: Round by thousands, hundreds and tens.

Which of the following represents a rotation of triangle XYZ, which has vertices (-4,7), Y(6,2), and Z (3,-8) about the origin by 90 degrees? HELP PLS options: A: X (-7,-4) Y(6,-2) Z(-8,3) B: X(7,-4) Y(-2,6) Z (3,-8) C: X (-7,-4) Y(-2,6) Z (8,3) D: X(7,-4) Y (-2,6) Z (-3,8)

Answers

Answer:

The best option is B: X' = (-7,-4), Y' = (-2,6), Z'=(8, 3).

Step-by-step explanation:

Each vertex can be represented as a vector with regard to origin.

[tex]\vec X = -4\cdot i + 7\cdot j[/tex], [tex]\vec Y = 6\cdot i + 2\cdot j[/tex] and [tex]\vec Z = 3\cdot i -8\cdot j[/tex].

The magnitudes and directions of each vector are, respectively:

X:

[tex]\|\vec X\| = \sqrt{(-4)^{2}+7^{2}}[/tex]

[tex]\|\vec X\| \approx 8.063[/tex]

[tex]\theta_{X} = \tan^{-1}\left(\frac{7}{-4} \right)[/tex]

[tex]\theta_{X} \approx 119.744^{\circ}[/tex]

Y:

[tex]\|\vec Y\| = \sqrt{6^{2}+2^{2}}[/tex]

[tex]\|\vec Y\| \approx 6.325[/tex]

[tex]\theta_{Y} = \tan^{-1}\left(\frac{2}{6} \right)[/tex]

[tex]\theta_{Y} \approx 18.435^{\circ}[/tex]

Z:

[tex]\|\vec Z\| = \sqrt{3^{2}+(-8)^{2}}[/tex]

[tex]\|\vec Z\| \approx 8.544[/tex]

[tex]\theta_{Z} = \tan^{-1}\left(\frac{-8}{3} \right)[/tex]

[tex]\theta_{Z} \approx 290.556^{\circ}[/tex]

Now, the rotation consist is changing the direction of each vector in [tex]\pm 90^{\circ}[/tex], which means the existence of two solutions. That is:

[tex]\vec p = r \cdot [\cos (\theta \pm 90^{\circ})\cdot i + \sin (\theta \pm 90^{\circ})\cdot j][/tex]

Where [tex]r[/tex] and [tex]\theta[/tex] are the magnitude and the original angle of the vector.

Solution I ([tex]+90^{\circ}[/tex])

[tex]\vec p_{X} = 8.063\cdot [\cos (119.744^{\circ}+90^{\circ})\cdot i + \sin (119.744^{\circ}+90^{\circ})\cdot j][/tex]

[tex]\vec p_{X} = -7\cdot i -4\cdot j[/tex]

[tex]\vec p_{Y} = 6.325\cdot [\cos(18.435^{\circ}+90^{\circ})\cdot i+\sin(18.435^{\circ}+90^{\circ})\cdot j][/tex]

[tex]\vec p_{Y} = -2\cdot i +6\cdot j[/tex]

[tex]\vec p_{Z} = 8.544\cdot [\cos(290^{\circ}+90^{\circ})\cdot i +\sin(290^{\circ}+90^{\circ})\cdot j][/tex]

[tex]\vec p_{Z} = 8.029\cdot i +2.922\cdot j[/tex]

Solution II ([tex]-90^{\circ}[/tex])

[tex]\vec p_{X} = 8.063\cdot [\cos (119.744^{\circ}-90^{\circ})\cdot i + \sin (119.744^{\circ}-90^{\circ})\cdot j][/tex]

[tex]\vec p_{X} = 7\cdot i +4\cdot j[/tex]

[tex]\vec p_{Y} = 6.325\cdot [\cos(18.435^{\circ}-90^{\circ})\cdot i+\sin(18.435^{\circ}-90^{\circ})\cdot j][/tex]

[tex]\vec p_{Y} = 2\cdot i -6\cdot j[/tex]

[tex]\vec p_{Z} = 8.544\cdot [\cos(290^{\circ}-90^{\circ})\cdot i +\sin(290^{\circ}-90^{\circ})\cdot j][/tex]

[tex]\vec p_{Z} = -8.029\cdot i -2.922\cdot j[/tex]

The rotated vertices are: i) X' = (-7,-4), Y' = (-2,6), Z'=(8.029, 2.922) or ii) X' = (7,4), Y' = (2,-6), Z' = (-8.029, -2.922). The best option is B: X' = (-7,-4), Y' = (-2,6), Z'=(8, 3).



A gym for diabetes is offering a deal to new members. Customers can sign up by paying a registration fee of $250 and a monthly fee of $42. Which of the
following models the membership cost?

Answers

Answer:

the following model the membership cost is p=250+42m

Which statement is true regarding the graphed functions?
A. f(4) = g(4)
B. f(4) = g(-2)
C. f(2) = g(-2)
D. f(-2) = g(-2)

Answers

Answer:c. F(2)=g(-2)

Step-by-step explanation:

In a game the average score was 60 time score was 5/2 of the average what was Tim’s score?

Answers

Answer:

in my own reasoning not sure if I am correct

Step-by-step explanation:

first it said Tim score was 5/2 of the of the average score

and the average score is 60

so that will be 5/2 × 60 which is

= 150

I need help with this​

Answers

Answer:

44

Step-by-step explanation:

MRQ=136

In a straight line there is 180 degrees

180-136=44

MRS=44 degrees

alternates angle is a z shape so NMRS is one

So you then RMP is 44 degrees.

Hope it helps just tryed

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