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
Pachacha [2.7K]
3 years ago
9

Given line segment AB, the coordinates of A are (3,-5) and the coordinates midpoint are (5,-1), what are the coordinates for B?

Mathematics
1 answer:
dsp733 years ago
6 0

Answer:

<h3>           B(7, 3)</h3>

Step-by-step explanation:

Point P(5, -1) being the midpoint of AB means that  x_P-x_A=x_B-x_P

5-3=x_B-5\\\\2+5=x_B\\\\x_B=7

and   y_P-y_A=y_B-y_P

-1-(-5)=y_B-(-1)\\\\-1+5=y_B+1\\\\y_B=3

You might be interested in
Use the general slicing method to find the volume of the following solids. The solid whose base is the region bounded by the cur
Y_Kistochka [10]

Answer:

The volume is V=\frac{64}{15}

Step-by-step explanation:

The General Slicing Method is given by

<em>Suppose a solid object extends from x = a to x = b and the cross section of the solid perpendicular to the x-axis has an area given by a function A that is integrable on [a, b]. The volume of the solid is</em>

V=\int\limits^b_a {A(x)} \, dx

Because a typical cross section perpendicular to the x-axis is a square disk (according with the graph below), the area of a cross section is

The key observation is that the width is the distance between the upper bounding curve y = 2 - x^2 and the lower bounding curve y = x^2

The width of each square is given by

w=(2-x^2)-x^2=2-2x^2

This means that the area of the square cross section at the point x is

A(x)=(2-2x^2)^2

The intersection points of the two bounding curves satisfy 2 - x^2=x^2, which has solutions x = ±1.

2-x^2=x^2\\-2x^2=-2\\\frac{-2x^2}{-2}=\frac{-2}{-2}\\x^2=1\\\\x=\sqrt{1},\:x=-\sqrt{1}

Therefore, the cross sections lie between x = -1 and x = 1. Integrating the cross-sectional areas, the volume of the solid is

V=\int\limits^{1}_{-1} {(2-2x^2)^2} \, dx\\\\V=\int _{-1}^14-8x^2+4x^4dx\\\\V=\int _{-1}^14dx-\int _{-1}^18x^2dx+\int _{-1}^14x^4dx\\\\V=\left[4x\right]^1_{-1}-8\left[\frac{x^3}{3}\right]^1_{-1}+4\left[\frac{x^5}{5}\right]^1_{-1}\\\\V=8-\frac{16}{3}+\frac{8}{5}\\\\V=\frac{64}{15}

5 0
3 years ago
Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below.
vlada-n [284]
A.  (f + g)(x) = f(x) + g(x) = 4x - 5 + 3x + 9 = 7x + 4

B. f.g (x)   = f(x) * g(x) = (4x - 5)*(3x + 9) = 12x^2 + 36x -  15x - 45
                =  12x^2 + 21x - 45

C  Replace the x in f(x) by g(x):-
  =  4(3x + 9) - 5
  = 12x + 36 - 5
  = 12x  + 31
8 0
3 years ago
2. What's the position of 9 in the number 932,805?
Sergio039 [100]
It is 900,000 it is in the hundreds thousandths place.
4 0
3 years ago
Read 2 more answers
Please help thank you
worty [1.4K]

Answer:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

7 0
2 years ago
Manny made 4 pizzas to share among himself and 6 friends How much pizza will each person get? Well reread the question and ask y
Assoli18 [71]
....... shouldn't that be a question instead of an answer? Well, I guess it is what it is, and I understand it thx anyways. (=^\/^=)
6 0
3 years ago
Read 2 more answers
Other questions:
  • Which number goes in the box to make this a true number sentence? 7 × (3 + 9) = 21 +
    12·2 answers
  • Plz I need help look at the picture
    7·2 answers
  • Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
    7·1 answer
  • Ginger has 12 plastic bead containers. The containers measure 1 inch on each side. How many rectangular prisms, each with a diff
    11·1 answer
  • Please help!!!! worth 50 points!
    5·2 answers
  • Multiply. –6 • (–13)
    11·1 answer
  • How do i get the answer to rounding 387,422 to the nearest hundred thousand
    14·1 answer
  • Can you Graph Y=-2/3x+3
    15·1 answer
  • Please help!!!!!!!!!!
    5·2 answers
  • How many cm are in 3.05 miles?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!