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
Alexxx [7]
3 years ago
11

Write the equation in standard form for the circle that has a diameter with endpoints (22,0) and (2,0)

Mathematics
1 answer:
vovikov84 [41]3 years ago
7 0

Answer:

(x - 12)² + y² = 100

Step-by-step explanation:

The standard form of the equation of a circle is;

(x - a)² + (y - b)² = r²

where:

a and b are the coordinates of the centre of the circle

r is the radius

We are given the coordinates of the endpoints of the diameter as; (22,0) and (2,0)

Thus, the centre of the circle would be at the mid point of the endpoints of the diameter.

Coordinates of the centre is;

((22 + 2)/2), (0 +0)/2))

This is;

(12, 0)

So, a = 12 and b = 0

Now,to get the radius r, we will use the formula;

r = √[(x2 - x1)² + (y2 - y1)²]

Where;

(x1, y1) and (x2, y2) are 2 points namely (12,0) and (22, 0)

r = √[(12 - 22)² + (0 - 0)²]

r = √(-10)²

r = √100

r = 10

Thus,equation of the circle is;

(x - 12)² + (y - 0)² = 10²

(x - 12)² + y² = 100

You might be interested in
How to represent 57.036 using fractions
egoroff_w [7]

57.\underbrace{036}_{3}=\dfrac{57036}{1\underbrace{000}_{3}}=\dfrac{57036:4}{1000:4}=\dfrac{14259}{250}

6 0
3 years ago
To watch the video
Anettt [7]

Answer:

The ball shall keep rising tills its velocity becomes zero. Let it rise to a height h feet from point of projection.

Step-by-step explanation:

Let us take the point of projection of the ball as origin of the coordinate system, the upward direction as positive and down direction as negative.

Initial velocity u with which the ball is projected upwards = + 120 ft/s

Uniform acceleration a acting on the ball is to acceleration due to gravity = - 32 ft/s²

The ball shall keep rising tills its velocity becomes zero. Let it rise to a height h feet from point of projection.

Using the formula:

v² - u² = 2 a h,

where

u = initial velocity of the ball = +120 ft/s

v = final velocity of the ball at the highest point = 0 ft/s

a = uniform acceleration acting on the ball = -32 ft/s²

h = height attained

Substituting the values we get;

0² - 120² = 2 × (- 32) h

=> h = 120²/2 × 32 = 225 feet

The height of the ball from the ground at its highest point = 225 feet + 12 feet = 237 feet.

7 0
3 years ago
Find the volume of the following cube
kirza4 [7]
Pretty sure it’s 25 but I could be wrong. It’s also rly blurry. Hope this helps
4 0
3 years ago
Read 2 more answers
The distance between city E and F is 678.35 miles and the distance between city F and G is 156.8 miles. What is the distance bet
Free_Kalibri [48]

E to F = 678.35 miles
F to G = 156.8 miles
G to H = x
Total distance = 2,457 miles
E to G = 678.35 + 156.8 miles
E to G = 835.15
G to H = 2,457 - 835.15
G to H = 1621.85 miles

8 0
3 years ago
Read 2 more answers
Given the regular octagon, what is the length of any side?
Jlenok [28]

Answer:110

Step-by-step explanation:x^2+17x=15x+35

x^2+17x-15x-35=0

x^2+2x-35=0

delta=2^2-4*1*(-35)=4+140=144

x1=(-2+V144)/2=(-2+12)/2=10/2

x=5

so 15*5+35=75+35=110

3 0
3 years ago
Read 2 more answers
Other questions:
  • magine you have friends from all over the world. Translate the following sentences into Spanish. 1. Juan is from China. He is Ch
    9·2 answers
  • Nydia flips affair quarter twice. What is the probability that the coin will land on heads both times
    11·2 answers
  • What is (m−3+4n)⋅(−8)
    15·2 answers
  • I need to solve this equation
    5·2 answers
  • What is the area of the shape below.
    13·2 answers
  • When adding two negative number equls a nagative number
    7·2 answers
  • -8x+4+2=-10x+24<br><br> A) x=5 <br> B) x=-8 <br> C) x=3 <br> D) x=0
    12·1 answer
  • What is the answer to (-15,12),(-9,12)
    6·1 answer
  • Help help help help help
    12·2 answers
  • Find the probability. Leave your answer in simplest fraction form.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!