Answer:
(x+6)² + (y-6)² = 181
Step-by-step explanation:
equation of the circle in general is (x - a)² + (y - b)² = r²
center is (a, b) in our task a=-6 b=6
so equation of the circle is (x+6)² + (y-6)² = r²
we have point (3,-4) ⇒ x=3 y=-4
put x y in equation of the circle ⇒ (3+6)² + (-4-6)² = r² ⇒r² =181
⇒The equation of a circle is (x+6)² + (y-6)² = 181
Answer:
x²+ y² - 109 = 0
Step-by-step explanation:
The coordinate of centre of circle = (-6 , 6)
Point through which it passes = (3 , -4)
So , Firstly find the distance between the centre and that point that will be equal to the radius . Using Distance Formula we have ,
⇒ D = √ [ ( x - x' )² + ( y + y')² ]
⇒ D = √ [ (3+6)² + (6+4)² ]
⇒ D = √ [ 9² + 10² ]
⇒ D = √ [ 81 + 100 ]
⇒ D = √ 181
⇒ D = 13.45 .
Now substituting the respective values in the general equation of circle .
⇒ ( x - h)² + (y - k)² = r²
Where (h,k) is the centre and r is the radius.⇒ { x - (-6) }² + { y - (6) }² = (13.45)²
⇒ ( x + 6 )² + ( y - 6)² = 13.45²
⇒ x² + 36 + 12x + y² + 36 -12x = 181
⇒ x² + y² + 72 = 181
⇒ x² + y² + 72 - 181 = 0
⇒ x² + y² - 109 = 0
Therefore the equation of the circle is x² + y² - 109 = 0 .Shanice's school made $850 by selling 125 tickets to the annual talent show. They sold adult
tickets for $10 and student tickets cost $6. How many adult tickets did they sell? How many
student tickets did they sell?
Write a system of equations to represent this situation. Define your variables.
Answer:
25 adult tickets were sold and 100 student tickets were sold.
Step-by-step explanation:
Let the number of adult tickets sold be x and the number of student tickets sold be y.
We know that the total amount collected from the tickets was $850, and that a total of 125 tickets were sold. We can use this information to come up with two equations.
10x + 6y = 850 - Equation 1
x + y = 125 - Equation 2
Then, use the substitution method to solve for either x or y first, followed by the other.
From equation two:
x + y = 125
x = 125 - y - Equation 3
Sub eqn 3 into eqn 1:
10(125-y) + 6y = 850
1250 - 10y + 6y = 850
1250 - 4y = 850
-4y = - 400
y - 100
Sub y = 100 into eqn 2:
x + 100 = 125
x = 25
Check:
10(25) + 6(100) = 850
1 2/5
rename the mixed number as an improper faction
a. 3/5
b, 12/5
c, 2/6
d, 7/5
Answer:
the answer is b
Step-by-step explanation:
i don't know I just do lol
3) What is 3x +15y=-16 in slope intercept form?
Answer:
y=-1/5x-16/15
Step-by-step explanation:
slope intercept form y=mx+b
3x+15y=-16
15y=-3x-16 divide both sides by 15
y=-3/15x-16/15 simplify -3/15 to -1/5
y=-1/5x-16/15
Decrease £16855.21 by 13.5%
Answer:
£14579.76
Step-by-step explanation:
First do 16855.21 * .135 = 2275.45335 now do 16855.21 - 2275.45335 to get 14579.75665 round this to get 14579.76
GAHHHHHHHHHHHHHHHHHHHHHHHHH
HELP PLEASE
P.PENEEEEEEEE,TE GUSTAA∞[tex]\pi \sqrt{x} x^{2} \neq \alpha \sqrt[n]{x} \sqrt[n]{x}[/tex]
Which letter corresponds to -3
A
B
C
D
D. 3
The absolute value is always even.
Solve the equation.
x+2y=0
Answer: y=-(x/2)
Graph it to figure out.
hyxetdryufgukhchfxrdtygujhftyuhuhyguhjygyu
Answer:
so the answer is: eijieljnqwsmiqwmx
did i answer it correctly let me know
Step-by-step explanation:
Destroy your keyboard by smashing each random word on the poor broken keyboard
The mean age of the members of a baseball team is 28, the median age is 24, and the ages range from 20 to 45. Which of the following statements is best supported by the data?
Answer:
half are 28 or older
Step-by-step explanation:
also, im taking a math test i have the same question on my jupiter and the same amount of questions. could u send me the answers to all the questions if thats possible :) thx sm
The required statement by the details is an option (D) that half of the players are 24 or younger.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
Here,
We are given that the mean age of the members of a baseball team is 28 and the median age is 24. We can use this information to eliminate some answer choices.
Option (A) states that more than half of the players are older than 28. Since the median age is 24 and the ages range from 20 to 45, this option is not supported by the data.
Option (B) states that half of the players are 28 or older. Since the median age is 24 and the ages range from 20 to 45, this option is not supported by the data.
Option (C) states that the mode of the data is less than 28. We do not have enough information to determine the mode, so this option could be true or false.
Option (D) states that half of the players are 24 or younger. Since the median age is 24, this option is supported by the data.
Therefore, the best-supported statement by the facts is option (D) that half of the players are 24 or younger.
Learn more about mean here:
https://brainly.com/question/15397049
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All of the following represent three multiplied by six except:
3x6
3.6
316)
3:6
The statement represent three multiplied by six is 3 x 6 or 3.6
What is Multiplication?Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis.
We have,
We have to represent three multiplied by six.
1. 3 x 6 shows three multiplied by six.
2. 3. 6 also shows three multiplied by six.
3. 316 not shows three multiplied by six.
4. 3:6 shows the division of 3 and 6.
Learn more about Multiplication here:
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Factor the expression completely. 60x^4+54x^3 60x 4 +54x 3
Answer:
6x^3 (9x^361 + 10x+9)
Step-by-step explanation:
Binaya spent 10 of his pocket money. He has Rs 120 left now. Find:
(1) How much money did he spend? (i) How much money did he have?
Answer:
$10 and $130
Step-by-step explanation:
If he spent 10 of his pocket money, then he spent 10
Because he spent 10, that means that he had 120 + 10 = 130 at the start
Two membership levels are offered at a local bookstore. how many books need to be purchased from each membership so that the 2 membership levels cost the same
Answer:
.
Step-by-step explanation:
4. if m<AOB = 45° in circle O, what is m<ABC
Answer:
Answer:
m<ACB=22.5° [as inscribed angle is half to the central angle]
Answer:
m<ABC=22.5°
hope it helps
The density of water is 1000 kilograms per cubic meter, and the density of ice is about 916 kilograms per cubic meter. If 575 kilograms of water and 275 kilograms of ice is combined in a container, about how much volume would the mixture take up?
A)5.0 m^3
B)2.3 m^3
C)0.9 m^3
D)0.4 m^3
Answer:
Step-by-step explanation:
Its c
2. Hannah's pay varies directly to the number of hours she works. If she made $231 for 28 hours of work, identify the constant of variation and write an equation to represent the relationship.
Answer:
Constant of variation: $8.25
Equation: y=8.25x
Step-by-step explanation:
231/28=8.25
Answer:8.25
Step-by-step explanation:
231/28
What is the volume of corn held in this cone-shaped grain silo? Use 3.14 for π and round to the nearest cubic foot. Enter your answer in the box.
Answer:
3014 cubit foot
Step-by-step explanation:
Find the diagram attached
Volume of the cone = 1/3πr²h
r is the base radius of the cone
h is the height
Given
r = 6ft
Get the height using the pythagoras theorem
h² = 10² - 6²
h² = 100 - 36
h² = 64
h = √64
h = 8ft
Get the volume
Volume = 1/3πr²h
Volume = 1/3 * 3.14 * 6^2*8
Volume = 3.14 * 12 * 8
Volume =3,014.4
Volume = 3014 cubit foot to the nearest foot
The product of 6x5/3 will be (less than, greater than, equal to) 6 because the fraction 5/3 is (less than, greater than, equal to) 1
Answer:
The product of 6x5/3 will be greater than 6 because the fraction 5/3 is greater than 1.
Step-by-step explanation:
Note: If any fraction which the numerator and denominator have the same number , for example 6/6 it will equal to 1. If the numerator overpasses the denominator, it will be more than 1.
I Need Help Only #8
Answer:
15
Step-by-step explanation:
Solve the equation. What is the value of x? x minus 6.8 = 356.3 x =
Answer:
363.1
Step-by-step explanation:
The equations of three lines are given below.
Line 1: 10x+6y=6
Line 2: 5y=3x + 6
Line 3: y= 3/5 x -4
Please help
Answer:
They are parallel because they hold a same gradient which is 3/5
Geometry help please. Thank you!
Given that y varies inversely with x, if y=-5 when x=-6, find x when y=-2.5.
15
Explanation:
If y varies inversely as x, the two variables can be represented in an equation in the form
y
=
k
x
where
k
is some constant.
We are given that
y
=
5
when
x
=
6
. We can plug this into the above equation to find what
k
is:
5
=
k
6
30
=
k
Based on this we can create our equation:
y
=
30
x
And then find
x
when
y
=
2
:
2
=
30
x
2
x
=
30
x
=
15
Which is the approximate value of x? 4 9 17 20
Answer: it’s d. 20 .
circle P is representing by the equation (x - 2)^2 + (y + 2)^2 = 9.
plot point P on the given coordinate plane.
Answer:
Solution given.(x - 2)^2 + (y + 2)^2 = 9.
comparing above equation with (x-h)²+(y-k)²=r²
we get
centre(x,y)=(2,-2)
radius [r]=3units
Maurice fills a ball in the shape of a sphere with air. The diameter of the ball when it is filled is 24 inches. How much air, in cubic inches, is in the ball when it is filled? Solve in terms of π like the example above.
PLEASE HELP ME
Answer:
2304pi inches³
Step-by-step explanation:
volume of ball = 4/3pi r³
=4/3 x pi x 12³=2304 pi inches³
What number goes in the blank to make this number sentence true?
12x2= (?x2) + (2x2)
10
12
20
24
Answer:
10
Step-by-step explanation:
12 x 2 = 24
2 x 2 = 4
10 x 2 = 20
20 + 4 = 24
I hope this helps!
5a-7=2a can someone also explain
Answer:7/3 or 2.333 for short.
Step 1 add both sides with seven, Step 2 simplify by adding the numbers,
step 3 Subtract 2a from both sides of the equation,step 4 Combine like terms, step 5 Divide both sides of the equation by the same term,Step 6 Cancel terms that are in both the numerator and denominator.
Lisa is baking 3 cakes. Each cake needs 2-thirds cup of water. What is the total amount of water she needs?Answer options with 4 options.2 cups.3 and 2-thirds cupsC.4 and 1-half cupsD.6 cups
Answer:
6/3
Step-by-step explanation:
Lisa is baking 3 cakes
Each cake required 2/3 water
Therefore the total needed to finish the cake can be calculated as follows
=>2/3 ×2
= 6/3
Hence 6/3 cup of water needed for the cake
Can someone help me please.?
Answer:
be+bh=eh.
Step-by-step explanation:
am I right or wrong