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dusya [7]
3 years ago
13

A line segment has an endpoint at (4,6). If the midpoint of the line segment is (1,5), what are the coordinates of the point at

the other end of the line segment
Mathematics
1 answer:
IrinaK [193]3 years ago
8 0

Answer:

(-2 , 4)

Step-by-step explanation:

(x_1 ,y_1)= (4,6)\\(x,y)=(1,5)\\\\x = \frac{x_1+x_2}{2}\\ \\y = \frac{y_1+y_2}{2}\\ \\1 = \frac{4+x_2}{2}\\Cross \:Multiply\\2 \times 1 = 4+x_2\\2 = 4+x_2\\2-4 =x_2\\\\x _2=-2\\\\\\y =\frac{y_1+y_2}{2} \\5 = \frac{6+y_2}{2}\\ \\Cross \:Multiply\\5 \times 2 = 6+y_2\\10 =6+y_2\\10-6 =y_2\\4 =y_2\\\\y_2 =4\\\\(x_2,y_2) = (-2,4)

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Damm [24]

Answer:

x = \frac{1}{2}

x = -\frac{5}{2}

Step-by-step explanation:

Solve Using the Quadratic Formula

     4x^2 + 8x − 5 = 0

Use the quadratic formula to find the solutions.

    −b ± √b^2 − 4 (ac)

     -------------------------

               2a

Substitute the values a = 4, b = 8, and c = −5 into the quadratic formula and solve for x.

    −8 ± √82 − 4 ⋅ (4 ⋅ −5)

     -------------------------

              2 ⋅ 4

Simplify the numerator.

Raise 8 to the p ower of 2.

     −8 ± √64 − 4 ⋅ 4 ⋅ −5

x=     ---------------------------

               2 ⋅ 4

Multiply −4 by 4.

        −8 ± √64 − 16 ⋅ −5

x =       -------------------------

                2 ⋅ 4

Multiply −16 by −5.

        −8 ± √64 + 80

x =       -------------------

               2 ⋅ 4

Add 64 and 80.

        −8 ± √144

x =        --------------

             2 ⋅ 4

Rewrite 144 as 12^2.

        −8 ± √122

x =       ------------

            2 ⋅ 4

Pull terms out from under the radical, assuming positive real numbers.

multiply 2 by 4          

        −8 ± 12

x=     ------------

            8

simplify

    −2 ± 3

x=   ---------

        2

The final answer is the combination of both solutions.

x= 1/2, -5/2

Hope this helped!

6 0
3 years ago
Read 2 more answers
2. Water is leaking from a faucet at a constant rate of 1/3 gallon per minute.
Cloud [144]

Answer:

W = \frac{1}{3}t

20 gallons of water is leaked after an hour.

Step-by-step explanation:

Water is leaking at a constant rate of 1/3 gallon per minute.

a) We have to write a linear equation in two variables that show the amount of water, w, in gallons, that is leaked from the faucet after t minutes.

So, the equation is W = \frac{1}{3}t ......... (1) (Answer)

b) Now, if t = 1 hour i.e. 60 minutes, then from equation (1) we can write

W = \frac{1}{3}\times 60 = 20 gallons.

Therefore, 20 gallons of water is leaked after an hour. (Answer)

5 0
3 years ago
What is the volume of a ball if the diameter if the ball is 6 inches? Leave your answer in terms of π.
kap26 [50]
<span>Volume  = 4/3*pi*r^3
As diameter = 6 inches
Radius = Diameter / 2
Radius = 6/ 2
Radius = 3 inches
Putting the value of r in the formula :
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</span><span> =4/3*pi*27
 </span>= 36*pi 
So according to above explanation,
<span>B) V = 36 π cubic inches , is the correct answer.</span>
7 0
2 years ago
Read 2 more answers
CAN SOMEONE PLEASE HELP ME???
sp2606 [1]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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Jayden wants to solve the equation n + 67 = 81. He writes the equation n + 67 - 67 = 81 - 67 to find the value of n. Will Jayden
Paladinen [302]
Hello there.

Question: <span>Jayden wants to solve the equation n + 67 = 81. He writes the equation n + 67 - 67 = 81 - 67 to find the value of n. Will Jayden get the correct answer using this equation? 

Answer: n + 67 - 67.
In this part of the equation the 67 would cancel out.
Which leaves n = 81 - 67.
This would get the correct answer to the equation.
Solving the equation meant that he would have to subtract 67 from both sides.
Which he has done.
Solving the equation:
81 - 67 = 14
n = 14.

</span>Hope This Helps You!
Good Luck Studying ^-^
8 0
3 years ago
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