Answers
Answer:
Please check explanations
Step-by-step explanation:
The equation of a circle can be represented as;
(x-h)^2 + (y-k)^2 = r^2
r is the radius while (h,k) represents the coordinates of the center
Thus, we have that;
(x-2)^2 + (y+3)^2
That would give;
x^2 - 4x + 4 + y^2 + 6y + 9
The sum of values with no coefficient is;
4 + 9 = 13
If we take this to the other side, we can have 13 + 3 = 16
The square root of this is then 4
Mathematically, we can therefore express the equation of the circle as;
(x-2)^2 + (y-+3)^2 = 4^2
By expansion, we will get the original given equation
Related Questions
Sophia scored 33 points in a basketball game. She scored four
more two-point baskets than three-point baskets.
Write a system of equations in standard form that models this
situation.
How many three-point baskets did Sophia make?
Answers
Answer:
Let's try to set up some equations. We'll say a is the number of 1-point shots, b the number of 2-point shots, and c the number of 3-point shots.
A basketball player scored 33 points in one game.
So a + 2b + 3c = 33
He scored four more 2-point baskets than he did 3-point baskets.
So b = c + 4
The number of free-throws equaled the sum of the number of 2-point and 3-point shots made.
So a = b + c
and since b = c + 4,
a = (c + 4) + c = 2c + 4
Substituting in a + 2b + 3c = 33,
(2c + 4) + 2 * (c + 4) + 3c = 33
which simplifies to
7c + 12 = 33
So c = 3, b = 7, a = 10
Answer:
The system of equations in standard form that models this situation are:
2x+3y=33
x-y=4
A vegetarian restaurant used 6,680 ounces of spinach last month. This month, with a menu update, it used 10% more than that amount. How much spinach did the restaurant use this month?
Answers
Answer:
what subjet is this
Step-by-step explanation:
An airplane is flying from knoxville to new york. The distance it travels in miles, d, is related to the time in seconds, t, by the equation: d=0.12t. How many miles is it flying per second?
Answers
Answer:
0.12 miles is it flying per second.
Step-by-step explanation:
The distance d is related to time t in seconds is given by the equation as follows :
d =0.12 t
We need to find how many miles is it flying per second.
[tex]\dfrac{d}{t}=0.12\\\\\dfrac{\text{miles}}{\text{second}}=0.12[/tex]
So, the speed of the airplane is 0.12 miles per second, Hence, 0.12 miles is it flying per second.
Substation method
3x + 4y=-22
7x+y=7
Answers
Answer:
(2, -7)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = -22
7x + y = 7
Step 2: Rewrite Systems
7x + y = 7
Subtract 7x on both sides: y = 7 - 7xStep 3: Redefine Systems
3x + 4y = -22
y = 7 - 7x
Step 4: Solve for x
Substitution
Substitute in y: 3x + 4(7 - 7x) = -22Distribute 4: 3x + 28 - 28x = -22Combine like terms: -25x + 28 = -22Subtract 28 on both sides: -25x = -50Divide -25 on both sides: x = 2Step 5: Solve for y
Define equation: 7x + y = 7Substitute in x: 7(2) + y = 7Multiply: 14 + y = 7Subtract 14 on both sides: y = -71. Jacob has $500 saved. He receives a gift of $100 as a graduation present.
Write an expression for the total amount of money he has.
Answers
y = 5x + 14
what is the CROC (Constant Rate Of Change)?
and how do you know. (please help i've been stuck on this for about an hours now :,). )
Answers
Answer:
The answer is 5.
Step-by-step explanation:
Well if you were to graph this equation you'll see that the rise over run would be 5/1 which simplifies to 5.
On a trip , Joel drove 24 miles more than Rita drove . Together they drove 340 miles . How many miles did Joel drive
Answers
Answer:
U didn't say how many miles Rita drove.
A salesperson makes a 35% commission and makes a sale for $425. Determine the commission the salesperson will make.
Answers
hope this helped
Determine the domain of the following graph:
Answers
Answer:
Domain: (-7, 4]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph, the line's x-values span from -7 to 4. Since -7 is open dot, it is exclusive from the domain; since 4 is closed dot, it is inclusive in the domain:
Interval Notation: (-7, 4]
Inequality Notation: -7 < x ≤ 4
A truck is carrying cranberry juice, grape juice, and pineapple juice bottles in a ratio of
7 : 2 : 3. If there are 40 grape juice bottles, then how many juice bottles in total are there?
Answers
Answer:
140
Step-by-step explanation:
7- Cranberry
2:Grape = 40 so 40/2 = 1
3:Pineapple
1= 20 juices
7+2+3 is 12
20 x 12 is 140
7+2+3=12, so multiply that by a factor of 20.
20*12=240 total juice bottles is the answer
A 4-pound bag of carrots costs $2.48. What is the unit price? *
Answers
Answer:
0.62 cents per pound
Step-by-step explanation:
2.48/4
to find price per pound which is the unit price
2.48/4=0.62
brainliest appreciated
Please solve!! :)
-3 lx+4l= -6
Answers
Answer:
x = -2, -6
Step-by-step explanation:
I used a site called tiger algebra to solve this so I don't know how, but I hope this helped you anyway. :)
5. Which set of ordered pairs below represents a function? 31. {(1,1) (1,- 1) (4,2) (4, -2) (9,3)} b. {(3,4) (3,5) (3,6) (3,7) (3,8) } C. {(2,4) (3,4) (4,4, (5,4) (6,4)} d. {(1,2) (2,3) (3,4) (4,5) (4,6) }
Answers
Answer:
C. {(2,4) (3,4) (4,4) (5,4) (6,4)} is a function.
Step-by-step explanation:
Since there is one value of y for every value of x in {(2,4) (3,4) (4,4) (5,4) (6,4)}, this relation is a function.
What is the slope of the line that passes through the points (-3, 4) and (5, -2)?
Answers
Answer:
m = 0 , this is a horizontal line, y = 5
Step-by-step explanation:
Find the slope of the line that passes through the pair of points
(-3,5),
(-4,5) m = 0/1 = 0
m=y2-y1/x2-x1
m = 0 , this is a horizontal line, y = 5
Hopefully that helps!!!!!
What is the surface area of a cylinder with a radius of 12 centimeters and a height of 7 centimeters? Use terms of pi.
I’ll give brainliest to whoever answers 1st! :)
Answers
Answer:
1432.57cm²
Step-by-step explanation:
Select the correct answer.
In which table does y vary directly with x?
Answers
Answer:
Option C.
Step-by-step explanation:
y and x have a Direct variation if the function looks looks like y = mx (b is equal to zero). The only option that can be written like that is option C. And it can be written as
y = 26x
Does anyone know the answer to these?? Please answer quickly and please don’t joke around .
Answers
Solve for x!!!!!.....
Answers
8/6=14/x
Cross multiply
8x=84
Divide 8 to both sides
X=10.5
The value of n is a distance of 1.5 units from -2 on a number line. Click on the number line to show the possible values of n. -5 - 4 -3 -2 -1 0 1 2 3 4 5
Answers
Answer:
Its Going to be -4
Step-by-step explanation:
help me solve please
Answers
Answer:
x=78; x=56
Step-by-step explanation:
For the first question we know that the angle is 180 degrees, that means the two angles inside of it have to add up to 180:
102+x=180
Subtract 102 from both sides:
x=78
For the second question we know that the angle is 90 degrees, meaning that the two angles on the inside have to add up to 90:
34+x=90
Subtract 34 from both sides:
x=56
Pls help and SHOW WORKINGS....due ASAP
Answers
Answer:
(B). 50°
Step-by-step explanation:
(5x + 55)° = (2x + 100)°
5x + 55 = 2x + 100
5x - 2x = 100 - 55
3x = 45
x = 15
5(15) + 55 = 130°
m∠2 = 180° - 130° = 50°
if I buy 54 packs of cookies and 15 cookies are in each pack how many cookies do I have all together?!!?!?!
Answers
Answer:
810
Step-by-step explanation:
54x15=810.
hope this helps
Step-by-step explanation:
54 x 15 = 810
all you have to multiply
For trapezoid JKLM A and B are midpoints of the legs. Find AB.
19
B
M
L
27
C.
23
a
h
35
46
Answers
MARKING BRAINLIEST!!!!
Answers
Answer:
12
Step-by-step explanation
What is the domain of h?h(x)=4/x-5
Answers
Answer:
(−∞, 5) ∪ (5, ∞)
Step-by-step explanation:
I really hope it helps!
Good Luck!
How many groups of 1/4 are in 3?”
Answers
Answer: 12
Step-by-step explanation:
1/4 = 0.25
2/4 = 0.50
3/4 = 0.75
4/4 = 1.00
If you do this three times, It will have an end result of twelve
hope this helps!!
i realllllllllllllllllllllly neeeeeeddddd help on this one pleaseeeeeeeeeeeeeeeeeeeeee
Carlos traveled at an average speed of 70 miles per hour for 2.5 hours and then traveled at an average speed of 80 miles per hour for 3.5 hours. What was the total distance in miles that Carlos traveled during that time
Answers
Answer:
70 * 2.5 = 175
80 * 3.5 = 280
175 + 280 = 455 miles all together
Step-by-step explanation:
I hope this helps :)
how do you solve this using the substitution method?
Answers
Answer:
x=13, y=36
Step-by-step explanation:
y−2x=10
6x−2y=6 −2x+y=10
6x−2y=6
6x=2y+6
x= 1/6(2y+6)
x=1/3y+1
-2(1/3y+1)+y=10
-2/3y-2+y=10
1/3y=12
y=36
Substitute y to check your answer
x=1/3*36+1
x=12+1
x=13
And to go further if you wish to check your answer you can substitute x
4. An annual pass covering emtrance fees to more than
2,000 national parks costs $80. If the total income from
the annual passes is $12,800 in one month, which equation
can you use to find the number of passes purchased that month?
F. 12,800p = 80
H. 80p = 12,800
G. 12,800 – p = 80
J. 80 + p = 12,800
Answers
Answer:
Search it up
Step-by-step explanation:
Someone already answered it on brainly
What is the circumference of a circle with a diameter of 3 feet? Use 3.14 for
TT
Pls help
Answers
Answer:
9.42
Step-by-step explanation: