The center of a circle is placed on the origin of a coordinate plane as shown below. The radius of the circle is 10 units. If the point (-6, y) lies on the circle, what is y?
Answers
Answer:
(-6, 8)
Step-by-step explanation:
Since the radius is 10 units and the center is on the origin of the circle, the distance from the origin to the point (-6, y) must be 10.
We can use the distance formula given by:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
We will let the point (-6, y) be (x₂, y₂) and the origin point (0, 0) be (x₁, y₁). The distance is 10. Substitute:
[tex]10=\sqrt{((-6)-(0))^2+((y)-(0))^2}[/tex]
Simplify:
[tex]10=\sqrt{(-6)^2+(y)^2}[/tex]
Square both sides and simplify:
[tex]100=36+y^2[/tex]
Solve for y:
[tex]y^2=64[/tex]
Take the square root of both sides:
[tex]y=\pm\sqrt{64}=\pm 8[/tex]
Since our point is in QII, y must be positive. Hence, we will use the positive case. So, y = 8.
Our point is (-6, 8).
Related Questions
Plzz help find the missing side
Answers
Answer:
4x^2y^5
Step-by-step explanation:
since you have the area total and one side you need to divide since to find the area you would multiply so you must do the opposite sign
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 number that makes the ratio equivalent to 1:4.
5:
Answers
Answer:
5:20
Step-by-step explanation:
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
if 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.
Steve borrowed $2000 at 8% annual interest for 6 months. How much interest did he pay? Steve paid ? in interest.
Answers
Answer:
I = (2,000) (0.08) (6)
I = (160) (6)
Steve pays $960 in interest
Step-by-step explanation:
I completed the quiz :)
A marathon takes place each year.In 2020 there were 6500 runners.Does this predict that in 2023 there will be more than 7500 runners? { Prediction : For each of the next 3 years the number of runners will increase by 5% } Does this predict that in 2023 there will be more than 7500 runners?
Answers
Answer:
yes
there would be 7525 runners
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r) n
FV = Future value
P = Present value
R = interest rate
N = number of years
6500 x (1.05)^3 = 7525 runners
help please! very confused
Answers
Answer:
???ummm no details
Step-by-step explanation:
Step-by-step explanation:
Triangle and pyramid
Because the others wouldn't give you a prism
*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]
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!
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
Plz solve this question
Answers
Answer:
first one
Step-by-step explanation:
and is this a test?
PLEASE HELP ME ( MULTIPLE CHOICE) WILL GIVE BRAINLIST
Answers
Answer:
Factoring Trinomial.
Step-by-step explanation:
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:
Pls help I need the maser quick
Answers
Use the calculator
The radius of a cylinder is measured in meters what unit will the surface area be measured in
A. Square meters
B.meters
C. Kilometers
D. Cubic meters
Answers
Explanation:
Imagine that a parent bought a basketball for their son or daughter. If they wrapped the ball with wrapping paper, then that wrapping paper can be unwrapped to form a flat sheet. So the area of the sheet corresponds directly to the surface area. If the sheet is say 1 meter by 1 meter, then the area is 1*1 = 1 square meter. We can abbreviate "square meters" into "meter^2" or "m^2".
Answer:
square meters
Step-by-step explanation:
because when you measure in surface area, you use square meters
The stem and leaf plot shows the number of items in each of the 12 collections in a museum.
stem leaf
0
3
3
3
5
7
9
1
2
2
3
3
3
2
6.
3
9
Key: 2 6 represents a collection with 26 items in it.
Here is the five-number summary for these data:
Five-number summary
min Qi median Q max
3
6
12
13
39
According to the 1.5. IQR rule for outliers, how many high outliers are there in the data set?
Choose 1 answer:
0
1
2
3
Answers
Outliers are data elements that are relatively far from the other data elements.
There are 2 high outliers in the data set.
The five number summary is given as:
[tex]\mathbf{Minimum=3}[/tex]
[tex]\mathbf{Q_1=6}[/tex]
[tex]\mathbf{Median=12}[/tex]
[tex]\mathbf{Q_3=13}[/tex]
[tex]\mathbf{Maximum=39}[/tex]
The lower outlier is:
[tex]\mathbf{L = Q_1 - 1.5 \times (Q_3 - Q_1)}[/tex]
So, we have:
[tex]\mathbf{L = 6- 1.5 \times (13 - 6)}[/tex]
[tex]\mathbf{L = -4.5}[/tex]
The upper outlier is:
[tex]\mathbf{U = Q_3 + 1.5 \times (Q_3 - Q_1)}[/tex]
So, we have:
[tex]\mathbf{U = 13 + 1.5 \times (13 - 6)}[/tex]
[tex]\mathbf{U = 23.5}[/tex]
The above computation means that;
Data less than -4.5 or greater than 23.5 are outliers
The data elements in this range are: 26 and 39
Hence, there are 2 high outliers in the dataset
Read more about outliers at
https://brainly.com/question/12504076
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
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.
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!
A local college is forming a six-member research committee with one administrator, three faculty members, and two students. There are seven administrators, faculty members, and students in contention for the committee. How many six-member committees are possible
Answers
Answer:
292600
Step-by-step explanation:
A local college is forming a six-member research committee having one administrator, three faculty members, and two students. There are seven administrators, 12 faculty members, and 20 students in contention for the committee. How many six-member committees are possible?
[tex]\frac{7!}{(7 - 1)! 1!} * \frac{12!}{(12 - 3)! 3!} *\frac{20!}{(20 - 2)!2!}[/tex] = 292600
there are seven administrators, and only one is needed. thus there are 7 ways to choose 1 administrator.
there are 12 faculty members, and only 3 are needed. thus there are 12 ways to choose 3 members
there are 20 students and only 2 are needed. thus there are 20 ways to choose 2 students
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}
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
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 :)
95(43+57)=
A. 9,005
B. 9,400
C. 9,500
D. 90,500
Answers
use distributive property to multiply whats in the parentheses by 95.
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
I need the answer pls
Answers
Answer:
s
Step-by-step explanation:
sdd
plz help its timed!! will give brainliest
Answers
x = 7
Hope this helps!-Finnywill 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! :)
Joey rode his bicycle 125 yds. The diameter tire is 25 inches. How many whole revolutions did the tire make (1 yd= 36 inches) ?
Answers
Answer:
Step-by-step explanation: