1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Karolina [17]
3 years ago
10

Point N lies on the line segment MP . The distance between points M and P is 24 cm, and the distance between points N and M is t

wice longer than between points N and P. Find the distance: (a) between points N and P (b) between points N and M.
Mathematics
1 answer:
Katarina [22]3 years ago
7 0

Answer:

(a)The distance between points N and P is 8 cm.

(b)The distance between points M and N is 16 cm.

Step-by-step explanation:

Given that,

Point N lies on the line segment MP.

The distance between M and P is 24 cm.

That is MP= 24 cm

The distance between points N and M is twice longer than between points N and P.

That is

MN = 2 NP.

Since the point N lies on the line segment MP.

So, MN+NP= MP.

∴2 NP + NP= 24       [∵ MP= 24 cm]

⇒3 NP= 24

\Rightarrow NP= \frac{24}{3}

⇒NP= 8

The distance between points N and P is 8 cm.

(b)

Since

MN= 2 NP

⇒MN= 2×8

⇒MN= 16 cm.

The distance between points M and N is 16 cm.

You might be interested in
Circles M and K are congruent,arc QR is congruent to arc LN and arc OP is congruent to arc VW find y
Sladkaya [172]
The answer is -5. Just plug in -5 to check and x will equal 3.
3 0
3 years ago
Read 2 more answers
4/40 in its simplest form
Alexus [3.1K]

Answer:

1/10

Step-by-step explanation:

(4/40)/ (4/4) = 1/10

5 0
2 years ago
Is it True or false??
Alex17521 [72]

Answer:

I think it's false.

Step-by-step explanation:

7 0
3 years ago
I am trying to find the equation of the following lines, i’m just having trouble putting them in slope-intercept form.
Margaret [11]
\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
&&(~ -1 &,& -6~)
\end{array}
\\\\\\
slope =  m\implies  \cfrac{2}{5}
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-6)=\cfrac{2}{5}[x-(-1)]
\\\\\\
y+6=\cfrac{2}{5}(x+1)\implies y+6=\cfrac{2}{5}x+\cfrac{2}{5}
\\\\\\
y=\cfrac{2}{5}x+\cfrac{2}{5}-6\implies y=\cfrac{2}{5}x-\cfrac{28}{5}



\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&&(~ -2 &,& 5~) 
&&(~ 5 &,& 8~)
\end{array}
\\\\\\
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{8-5}{5-(-2)}\implies \cfrac{8-5}{5+2}\implies \cfrac{3}{7}
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-5=\cfrac{3}{7}[x-(-2)]
\\\\\\
y-5=\cfrac{3}{7}(x+2)\implies y-5=\cfrac{3}{7}x+\cfrac{6}{7}
\\\\\\
y=\cfrac{3}{7}x+\cfrac{6}{7}+5\implies y=\cfrac{3}{7}x+\cfrac{41}{7}
7 0
2 years ago
Is 3/4 equivalent to 30/40
Liula [17]
No it is not the same
5 0
3 years ago
Read 2 more answers
Other questions:
  • Which statement describes the translation of y = −5(x+ 2)2 − 3 from standard position?
    12·2 answers
  • Which is the best definition of an equilateral triangle?
    8·2 answers
  • If f(x) = –5x – 4 and g(x) = –3x – 2, find (f – g)(x).
    14·1 answer
  • Pat wants to measure the length of a table. She'll use a measuring tape. Which units should Pat use to express the length?
    15·1 answer
  • Find an equation that is perpendicular to the x-axis and passes through the point (7,13)
    6·1 answer
  • 30% of 500 round to the nearest hundredth
    5·1 answer
  • 1/17b = 90????<br> Please start it as multiplying both sides with the denominator
    15·2 answers
  • Find twenty rational number between -3/7 and 2/3​
    14·1 answer
  • Find the slope of a line perpendicular to the equation 3x-y=6
    5·1 answer
  • What property is used to show that 3(4-6)=12-18?​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!