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
chubhunter [2.5K]
3 years ago
12

Find the midpoint of the line segment defined by the points: (5, 4) and (−2, 1)

Mathematics
2 answers:
Serhud [2]3 years ago
8 0

Answer: The mid point of the line segment is (1.5,2.5).

Step-by-step explanation:

Since we have given that

A (5,4) and B(-2,1) are the end points of the line segment.

We need to find the mid point say 'C':

As we know the formula for "Mid point ":

C=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})\\\\C=\dfrac{5-2}{2},\dfrac{4+1}{2})\\\\C=(\dfrac{3}{2},\dfrac{5}{2})\\\\C=(1.5,2.5)

Hence, the mid point of the line segment is (1.5,2.5).

anyanavicka [17]3 years ago
3 0
\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\ \quad \\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~{{ 5}} &,&{{ 4}}~) 
%  (c,d)
&&(~{{ -2}} &,&{{ 1}}~)
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left( \cfrac{-2+5}{2}~~,~~\cfrac{1+4}{2} \right)\implies \left(\frac{3}{2}~~,~~\frac{5}{2}  \right)\implies \left(1\frac{1}{2}~~,~~2\frac{1}{2}  \right)
You might be interested in
Which type of deposit is paid in advance to protect landlords against nonpayment?
Fofino [41]
It's security deposit:)
4 0
3 years ago
Read 2 more answers
Find the volume of a pyramid with a square base, where the perimeter of the base is
grigory [225]

Answer:

90.3125 cm³

Step-by-step explanation:

Since the perimeter of the bottom square is 17, you can divide by four to find out what the lenght of each side is.

17/4=4.25 cm

We know the height of pyramid is 15 cm

The formula for the volume of a square pyramid is

V=a²(h/3)

V=a2(h/3)=4.252·15/3=90.3125 cm³

8 0
3 years ago
The function f is defined by f(x)=2x^2-4.<br> Find f(-x)
Vedmedyk [2.9K]
First of all, since all powers of x in this function are even, the entire function is even.  Thus, using -x as input doesn't change the function.  Thus, f(-x)=2x^2-4.

6 0
3 years ago
Which pair of figures is similar?​
Ivanshal [37]
The answer should be A
3 0
2 years ago
Multiply the polynomials. (x – 5)(x2 + 4x – 2)
klemol [59]

the cheap answer is simply

(x-5)(x²+4x-2)

we can simply multiply the terms on one by the terms of the other and then add like-terms and simplify.

\bf (x-5)(x^2+4x-2)\implies \begin{array}{cllll} x^2+4x-2\\ \times x\\ \cline{1-1}\\ x^3+4x^2-2x \end{array}+ \begin{array}{cllll} x^2+4x-2\\ \times -5\\ \cline{1-1}\\ -5x^2-20x+10 \end{array} \\\\\\ x^3+4x^2-2x-5x^2-20x+10\implies x^3+4x^2-5x^2-2x-20x+10 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill x^3-x^2-22x+10~\hfill

6 0
3 years ago
Read 2 more answers
Other questions:
  • Which unit of measure is the most reasonable to measure the length from your house to the grocery store?
    12·1 answer
  • What is the best approximation for the area of this circle?
    14·2 answers
  • I WILL GIVE YOU ALL MY POINTS PLEASE JUST ANSWER THIS BEFORE I BREAKDOWN AND CRY HAHA NO BUT SERIOUSLY PLEASE ANSWER PLEASEEE IM
    7·1 answer
  • What is 24.9% to a fraction in simplest form?​
    14·1 answer
  • Guided Practice
    15·1 answer
  • II. Word Problem:
    7·1 answer
  • Write the equation of the line that passes<br> through the point (2, -1) and has a slope of -3.
    11·1 answer
  • if 20 men can finish a piece of work in 30 days how many additional numbers of mains will be employed to finish the work in 24 d
    9·1 answer
  • You can buy 12 gallons of gas for $29.40 and 15 gallons of gas for $36.75 IS THE ANSWER PROPORTIONAL
    15·1 answer
  • Help please……..??.?.?.?.?.?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!