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
monitta
3 years ago
14

the distance formula is equivalent to the pythagorean theorem if you are trying to find the distance between a point in the plan

e and the orgin is this true or false???
Mathematics
2 answers:
anygoal [31]3 years ago
6 0

Let the point be (x,y) and the origin is (0,0).

Distance formula is

d = \sqrt{ (x_{2} - x_{1})^2 + ( y_{2} - y_{1})^2}

Substituting the points,we will get

d = \sqrt{ (0-x)^2 + (0-y)^2 }
\\
d = \sqrt{x^2 +y^2}

Squaring both sides

d^2 = x^2 + y^2
\\
x^2 + y^2 = d^2

And the pythagorean theorem is

a^2 +b^2 = c^2

And the above equation we obtained in in the form of pythagorea identity .

So the given statement is true .

user100 [1]3 years ago
5 0
The answer to this is true for apex

You might be interested in
Name the circle part L shown in the figure.<br><br> O Arc<br> O Sector<br> O chord<br> O radius
Gemiola [76]

Answer:

Step-by-step explanation:

6 0
2 years ago
$9.00 to $9.27 what percent raise did she receive
Rashid [163]
3% raise she has receive .
8 0
3 years ago
What is the equation of a parabola with (−2, 4) as its focus and y = 6 as its directrix? Enter the equation in the box.
SOVA2 [1]
Notice the picture below

the directrix is above the focus point, meaning the parabola is vertical and is opening downwards

now, "p" is the distance from the vertex to the focus point or the directrix, so that means, the vertex is between those two fellows, over the axis of symmetry, x = -2, since "p" is 1 unit, that puts the vertex at -2,5

since the parabola is opening downwards, that means the "p" value is negative, so is -1

\bf \textit{parabola vertex form with focus point distance}\\\\&#10;\begin{array}{llll}&#10;(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\&#10;\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}}) }\\&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ({{ h}},{{ k}})\\\\&#10;{{ p}}=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}\\\\&#10;-----------------------------\\\\

\bf \begin{cases}&#10;p=-1\\&#10;h=-2\\&#10;k=5&#10;\end{cases}\implies (x-(-2))^2=4(-1)(y-5)&#10;\\\\\\&#10;(x+2)^2=-4(y-5)\implies &#10;-\cfrac{1}{4}(x+2)^2=y-5&#10;\\\\\\&#10;\boxed{-\cfrac{1}{4}(x+2)^2+5=y}

4 0
3 years ago
In the figure. d=4 yd, h=6 yd, and H=8 yd. What is the approximate volume of the figure? Use 3.14 to approximate
Nesterboy [21]
Check the picture below.

so is really just a cylinder with a cone on the side, notice, since the diameter of the base is 4, the radius is half that then.

so we just simply get the volume of the cylinder, and the cone, and sum them up

\bf \textit{volume of a cylinder}\\\\&#10;V=\pi r^2 h\quad &#10;\begin{cases}&#10;r=radius\\&#10;h=height\\&#10;-----\\&#10;r=2\\&#10;h=6&#10;\end{cases}\implies V=\pi \cdot 2^2\cdot 6\\\\&#10;-------------------------------\\\\&#10;\textit{volume of a cone}\\\\&#10;V=\cfrac{\pi r^2 h}{3}\quad &#10;\begin{cases}&#10;r=radius\\&#10;h=height\\&#10;-----\\&#10;r=2\\&#10;h=2&#10;\end{cases}\implies V=\cfrac{\pi \cdot 2^2\cdot 2}{3}\\\\&#10;-------------------------------\\\\&#10;\stackrel{cylinder's~volume}{24\pi }~~+~~\stackrel{cone's~volume}{\cfrac{8\pi }{3}}

5 0
3 years ago
Read 2 more answers
Which of the binomials below is a factor of this trinomial?
Alex
X-4 is thr right one i’m my onion
7 0
3 years ago
Other questions:
  • Three times a number less than the sum of twice the number and 1
    9·1 answer
  • In triangle rst, rs=x+7, rt=2x-3, and st=x+7. If the perimeter is 32, find the value of x and classify the triangle by its sides
    6·2 answers
  • I need help with these questions if you might not know and answer then somebody else can help thank u
    15·1 answer
  • Imari went on a hike and recorded the number of each type of bird he saw. The circle graph shows the results of his count. Imari
    10·2 answers
  • Michael estimated his mass as 8 kilograms. Is his estimate reasonable? Justify your answer.
    10·1 answer
  • Sin 60° x tan 45° what is that is for a homework
    12·1 answer
  • PLEASE HELP!!!!! ASAP!!
    7·1 answer
  • The store bought them for $100 and marked them up 25% but no one was buying them! So the store discounted them 25%, what is the
    14·2 answers
  • Work out the size of angle x.<br> 126°<br> 43°
    5·2 answers
  • Please help ‼️‼️
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!