1.This circle is centered at the origin and contains the points two units away. Write the equation for this circle.
The equation for this circle is x2+y2= ______
2. Show that the two points shown on the circle are solutions to your equation.
I can show that (1, 3 square root) is a solution to this equation by showing that it makes the equation true: (1) squared 2 + (3 square root) squared 2= 1 + 3 = ______ = 2 squared .
Answers
Answer:
1. The location of the center of the given circle = The origin (0, 0)
The given points on the circumference of the circle = (1, √3), and (0, -2)
The general form of the equation of a circle, is presented as follows
(x - h)² + (y - k)² = r²
Where;
(h, k) = The coordinates of the center of the circle
r = The radius of the circle
∴ (h, k) = (0, 0)
The radius of the given equation is the distance from the center (0, 0) to either the point (0, -2) or (1, √3)
The distance from the center (0, 0) to the point (0, -2), which are points on the same ordinate, r = y₂ - y₁
∴ r = 0 - (-2) = 2
r = 2
The equation of the circle is therefore;
(x - 0)² + (y - 0)² = 2²
∴ x² + y² = 2²
2. When x = 1, and y = √3, we have;
(1 - 0)² + (√3 - 0)² = 1 + 3 = 4 = 2²
When x = 0, and y = -2, we have;
(0 - 0)² + ((-2) - 0)² = (-2)² = 4 = 2²
Therefore, the points shown on the circle (1, √3), and (0, -2) satisfy the equation of the circle, x² + y² = 2² and are solutions to the equation of the circle
Step-by-step explanation:
Related Questions
Plz solve this question
Answers
Answer:
first one
Step-by-step explanation:
and is this a test?
please check screenshot
Answers
Answer:
Domain: {-2, -1, 0, 1, 2, 3}
Range: {-5, -3, -1, 1, 3, 5}
Step-by-step explanation:
The domain is the set containing all the x-coordinates, and the range is the set containing all the y-coordinates.
Domain: {-2, -1, 0, 1, 2, 3}
Range: {-5, -3, -1, 1, 3, 5}
*quickest correct answer gets brainlyest*
Write in standard form (the number) 6.16 x 10^4
61600
6160
6160.000
6160000
Answers
Answer:
[tex]61600[/tex]
Step-by-step explanation:
[tex]10^4\\\\10*10*10*10\\\\100*100\\\\10000\\\\\\10000*6.16\\\\61600[/tex]
Light travels at approximately 186,000 miles per second. How is 186,000 written in scientific notation?
Answers
Answer:1.86*10^5
Step-by-step explanation:
Scientific notation is simple. First you place a decimal after the first numerical digit. Then for every digit after the decimal you would multiply by 10 to get back to the standard form. Instead of constantly multiplying by 10 you will raise the exponent.
Find the number that makes the ratio equivalent to 1:4.
5:
Answers
Answer:
5:20
Step-by-step explanation:
1. What is 65% of 80?
2. 34 is what percent of 40?
Answers
Answer:
1. 52
2. 13.6
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
1. What is 65% of 80
Let's set up an equation.
When we see %, we can put that number over 100.
65% = 65/100 = 0.65
"of" means to multiply.
So, 65% of 80 is
0.65 • 80 = x
Multiply.
x = 52
52
2. 34 is what percent of 40?
"is" symbolizes the equals sign (=)
"of" means to multiply.
"what percent" is our unknown.
34 is what percent of 40
34 = x/100 • 40
Divide both sides by 40.
0.85 = x/100
Multiply both sides by 100.
85 = x
85%
Hope this helps!
will mark brainliest
The measure of angle P is ___ degrees, rounded to the nearest hundredth.
Answers
Answer:
53°
Step-by-step explanation:
Use sine cosine or tangent (SOHCAHTOA). For this example I'll use sine.
For sine you'd use the equation sin(x)=[tex]\frac{opp}{hyp}[/tex] where x is the missing angle measure
the opposite side from x is 45 cm and the hypotenuse is 53 cm
sin(x)=[tex]\frac{45}{53}[/tex]
then rearrange the equation like this x=[tex]sin^{-1}[/tex]([tex]\frac{45}{53}[/tex])
most graphing calculators should solve it from there if you plug it in, hope this helps! :)
in which groupthe given angels(160,20)will fall,if their sum is 180
Answers
Answer:
Supplementary angles.
Step-by-step explanation:
We can define two big groups of pairs of angles.
Complementary and supplementary angles.
Two angles are complementary if the sum of their measures is equal to 90°
Two angles are supplementary if the sum of their measures is equal to 180°
Here, we have the angles 160° and 20°, and we know that their sum is 180°
Then we can conclude that the given angles fall in the group of the supplementary angles.
What are the zeros of the quadratic function f(x) = 2x2 – 10x - 3?
O x=-
5
2.
731
+
2
♡
37
and x=-
8
+
37
8.
2
31 and x =
O x=-
O x= { I and x= + 1
o x=- and x = {+7
Answers
Answer:
B is the answer....I did this math problem
The zeroes of the quadratic function given are 5/2 + √31 / 2 and 5/2 - √31 / 2.
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given quadratic function is
f(x) = 2x² - 10x - 3
We can find the roots of the quadratic function using the quadratic formula.
Quadratic formula for the quadratic function f(x) = ax² + b x + c is,
x = [-b ± [tex]\sqrt{b^2-4ac}[/tex]] / 2a
Here, a = 2, b = -10 and c = -3
Substituting the values,
x = [-(-10) ± [tex]\sqrt{(-10)^2-(4*2*-3)}[/tex]] / (2 × 2)
= (10 ± √(100 + 24) ) / 4
= (10 ± √124) / 4
= (10 ± √(31 × 4)) / 4
= (10 ± √31 √4) / 4
= (10 ± 2√31) / 4
= 10/4 ± 2√31 / 4
= 5/2 ± √31 / 2
Hence the roots are 5/2 + √31 / 2 and 5/2 - √31 / 2.
Learn more about Roots of Quadratic Functions here :
https://brainly.com/question/9155953
#SPJ7
solve the following :
7+2x/3= 5
and
3x+4/2= 9.5
Answers
Answer:
x= 4
x= 5
Step-by-step explanation:
7 + 2(4)/ 3 = 5
7 + 2(4)/3 = 5
7+8/3 = 5
15/3 = 5
3(5) +4/ 2 = 9.5
15+4/2 = 9.5
19/2 = 9.5
Which function shown below has the greater rate of change? Explain. (Be sure to include the
rate of change for each in your explanation).
Answers
Answer:
Function 1 has a greater rate of change.
Step-by-step explanation:
Function 1 has a rate of change of 3 because 3x is the slope of the line.
Function 2 has a rate of change of 1.5, because when you use rise/run, you get a slope of 3/2.
Function 3 has a rate of change of 2. You use the formula (y2 - y1) / (x2 - x1) to find the slope. I used (0,0) and (1,2). When you plug in 2 for y2, 1 for x2, and 0 for y1 and 0 for x1, you get (2-0) / (1-0) which is 2/1. That equals a slope of 2.
I need the answer pls
Answers
Answer:
s
Step-by-step explanation:
sdd
Donte bought a computer that was 15% off the regular price of $780. If 7.5% sales tax was added to the sale price of the computer, what was the total price Donte paid for it?
Answers
$712.72
780×0.15
117
780−117
663
663×0.075
49.725
49.725+663
712.72
Discount = 15%
Tax = 7.5%
Price after tax = price + 7.5/100 price
= 780 + 7.5/100 * 780
= 780 + 58.5
= 838.5
Price = 838.5
Price after discount = 838.5 - 15/100 * 780
= 838.5 - 117
= 721.5
PLZ HELP ME, IM BAD AT THIS
Answers
A class has 12 boys and 16 girls. The teacher needs to pick two volunteers. What is the probability that she chooses a girl given that she chose a boy first? All answers should be given as a fraction in simplest form!
Any help is appreciated!
Answers
Answer:
16/27
Step-by-step explanation:
12 boys and 16 girls
She already chose a boy so now there are (11+16) = 27 possible outcomes
There are 16 favorable outcomes(girl)
so the fraction is 16/27
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
plz help its timed!! will give brainliest
Answers
x = 7
Hope this helps!-Finnyif m1=35° and m2=75°, what is m3?
Answers
Answer:
m3 should be 70°
all internal angles of a triangle add up to 180
180-35-75 = 70
Answer:
All angles of a triangle add up to 180°.
there m1+m2+m3=180°
35+75+m3=180
110°+m3=180°
m3=180°-110°
m3=70°
Answer is A.
an athlete is running around a circular path that has a diameter of 250 and an arc of 120 also use 3.14 as pie
Answers
Answer:
1257.14 m or 1.26 km
Step-by-step explanation: hope this helps :)
Pls help I need the maser quick
Answers
Use the calculator
Luther bought a juice box shaped like a rectangular prism. The juice box is 4 inches tall, 3 inches wide, and 1.5 inches deep. Each cubic inch of the juice box holds 0.55 fluid ounces of strawberry-kiwi punch.
How many fluid ounces of punch does the juice box hold?
Answers
does anyone know this?
Answers
Answer:
Hello! answer: a = 24
Step-by-step explanation:
30 × 30 = 900 18 × 18 = 324 900 - 324 = 576 24 × 24 = 576 therefore a = 24 Hope that helps!
Steve borrowed $2000 at 8% annual interest for 6 months. How much interest did he pay? Steve paid ? in interest.
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Answer:
I = (2,000) (0.08) (6)
I = (160) (6)
Steve pays $960 in interest
Step-by-step explanation:
I completed the quiz :)
2√3+4√18 in simplest radical form
Answers
Answer:
[tex]2\sqrt{3} + 12\sqrt{2}[/tex]
Step-by-step explanation:
Simplify each term.
Find the common ratio of the geometric sequence 9,-18,36
Answers
Answer:
r = - 2
Step-by-step explanation:
The common ratio r of a geometric sequence is
r = [tex]\frac{a_{1} }{a_{1} }[/tex] = [tex]\frac{-18}{9}[/tex] = - 2
Answer:
y ar u gay
Step-by-step explanation:
The theater sells two types of tickets: adult tickets for $17 and child tickets for $14.
Last night, the theater sold a total of 238 tickets for a total of $3554. How many adult tickets did the theater sell last night?
Answers
Answer:
74 adult tickets
Step-by-step explanation:
Create a system of equations where a is the number of adult tickets and c is the number of child tickets:
a + c = 238
17a + 14c = 3554
Solve by elimination by multiplying the top equation by -14:
-14a - 14c = -3332
17a + 14c = 3554
Add these together, and solve for a:
3a = 222
a = 74
So, 74 adult tickets were sold last night
what's the square root of 3 to the second power
Answers
Answer:
3
*if you ever need to do more math like this, I suggest using desmos :)
Answer: 3
Step-by-step explanation: So 3 square rooted 1.732² so there you have it
HELP PLEASE NO LINKS!!!!!!!!!!!!!
Answers
9514 1404 393
Answer:
17.98
Step-by-step explanation:
The sequence is geometric with first term a1 = 12 and common ratio r = 1/3. Put these numbers in the formula and do the arithmetic.
[tex]S_n=a_1\cdot\dfrac{1-r^n}{1-r}\\\\S_6=12\cdot\dfrac{1-\dfrac{1}{3^6}}{1-\dfrac{1}{3}}=12\cdot\dfrac{3}{2}\cdot\dfrac{728}{729}=\dfrac{1456}{81}\approx\boxed{17.98}[/tex]
Which equation represents the word sentence shown below?
The quotient of a number band 0.3 equals negative 10.
Answers
Answer:
where are the equations?
Step-by-step explanation:
tell me and I will edit my answer to answer ur question
Answer:
Step-by-step explanation:
What is the surface area of a cereal box with a height of 10 inches, a width of 4 ½ inches, and a length of 7 inches?
Answers
Answer:
Surface area of a box = 293 inches ²
Step-by-step explanation:
Surface area of a box = 2(lw + lh + hw)
Where,
l = length = 7 inches
w =width = 4 1/2 inches
h = height = 10 inches
Surface area of a box = 2(lw + lh + hw)
= 2(7*4.5 + 7*10 + 10*4.5)
= 2(31.5 + 70 + 45)
= 2(146.5)
= 293 inches ²
Surface area of a box = 293 inches ²
The football team has a total of 50 jerseys. There are 20 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answers
Answer:40%
Step-by-step explanation:20 divided by 50 is 0.4 then multiply that by 100 and get 40
Answer:
Well the equation for this would 50*.20 = ...
The first half of the answer would be 10.
BUT!
You need to subtract 10 from 50.
50-10 = 40!
There you go.
Step-by-step explanation: