Find the center-radius form of the equation of the circle described and graph it.
center (0, -1), radius 4
Type the center-radius form of the equation of the circle.
(Type an equation. Simplify your answer.)
Answers
Answer:
x^2 + (y+1)^2 = 16
Step-by-step explanation:
The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.
Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:
(x-0)^2 + (y+1)^2 = 4^2
x^2 + (y+1)^2 = 16
The required center-radius form of the equation of the circle is x² + (y + 1)² = 16.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k).
Here
The equation of the circle is given by
(x - h)² + (y - k)² = r² - - - - (1)
where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Substitute center and radius in equation 1,
(x - 0)² + (y + 1)² = 4²
(x )² + (y + 1)² = 16²
Thus, the required center-radius form of the equation of the circle is x² + (y + 1)² = 16.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
Related Questions
what is the range of the function below in set builder notation? y=|x-3|
Answers
Answer: [tex]\{y | \ y \in \mathbb{R}, \ y \ge 0\}[/tex]
This translates to "y is any real number such that it is 0 or larger".
The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.
So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.
In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.
Penelope earned $50 in May. She earned $60 in June.
What is the percent increase or decrease in Penelope's monthly earnings
Answers
Answer:
120% increase
Step-by-step explanation:
John is gliding along on his scooter at a speed of 2.8 m/s when
suddenly he collides with Sam who is walking around the corner. If
John is brought to rest in 0.15 s, what is his acceleration?
Answers
Answer:
18.67 m/s²
Step-by-step explanation:
a = ∆v/ t
a= v - u/t
a = 2.8 - 0 / 0.15
a = 2.8 / 0.15
a = 18.67 m/s²
d. -6.24, -4.03, -1.82, 0.39, ... Find the 20th term.
Answers
Answer:
the 20th term of the sequence is 35.75
Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.
Answers
Answer:
y = [tex]\frac{3}{5}[/tex] x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x + 3y = 15 ( subtract 5x from both sides )
3y = - 5x + 15 ( divide all terms by 3 )
y = - [tex]\frac{5}{3}[/tex] x + 5 ← in slope- intercept form
with slope m = - [tex]\frac{5}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{3} }[/tex] = [tex]\frac{3}{5}[/tex] , thus
y = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation
To find c substitute (5, 1) into the partial equation
1 = 3 + c ⇒ c = 1 - 3 = - 2
y = [tex]\frac{3}{5}[/tex] x - 2 ← equation of perpendicular line
Here, we are required to Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.
The equation of the line is; 3x - 5y = 10.
By comparison with the equation of a straight line: y = Mx + c
The equation 5x+3y=15 can be rewritten as ;
y = (-5/3)x + 5
Therefore, the slope of the equation is; (-5/3)
The product of the slope of two perpendicular lines is: -1.
therefore m1m2 = -1
Therefore; M2 = -1/(-5/3)
Therefore M2 = 3/5
The equation of the line passing through the point (5, 1) that has slope, M2 = 3/5 is;
3/5 = (y - 1)/(x - 5)
By Cross product;
3x - 15 = 5y -5
Therefore, the equation of the line is;
3x - 5y = 10.
Read more:
https://brainly.com/question/17076690
Divide. 32 by 565 Enter your answer in the boxes as a mixed number in simplest form.
Answers
Answer:
17 21/32
Step-by-step explanation:
find the first five terms of each sequence an = -2(n-7)
Answers
Answer:
when n=1
= -2(1-7) = 12
when n=2
= -2(2-7) = 10
when n=3
= -2(3-7) = 8
when n=4
= -2(4-7) = 6
when n=5
= -2(5-7) = 4
Step-by-step explanation:
Two fifteenths times 10
Answers
Answer:
1.3
Step-by-step explanation:
Expressions that simplify to the same expression are called _ _ _ _ _ _ _ _ _ _.
Answers
Answer:
Step-by-step explanation: Expressions that simplify to the same equations are called Linear equations.It can simplify the same equation.
Step-by-step explanation:
In 2014, a toy store sold 12,823 stuffed animals. In 2015, the toy store sold 24,290 more stuffed animals than it did in 2014. The toy store sold the same number of stuffed animals in 2016 as it did in 2015. How many stuffed animals did the toy store sell in 2014, 2015, and 2016 combined?
Answers
Answer:
i say 24,890
Step-by-step explanation:
The number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined is 87,049.
Given that, in 2014, a toy store sold 12,823 stuffed animals. In 2015, the toy store sold 24,290 more stuffed animals than it did in 2014.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined be x.
Number of toys sold in 2014 = 12,823
Number of toys sold in 2015 = 12,823 + 24,290
=37,113
The toy store sold the same number of stuffed animals in 2016 as it did in 2015. That is, 37,113.
Now, x = Number of toys sold in 2014 + Number of toys sold in 2015 + Number of toys sold in 2016
=12,823+37,113+37,113
=87,049
Therefore, the number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined is 87,049.
To learn more about an equation visit:
brainly.com/question/14686792.
#SPJ5
El punto 22, los resultados/procedimiento para confirmar que lo hice bien
Answers
Answer:
a)
1/4 : a = 1/10
1/4 = a*1/10
(1/4) : (1/10) = a
(1*10):(4*1) = a
10/4 = a
entonces:
1/4 : 10/4 = 1/10
respuesta:
en el recuadro va:
10/4 o su equivalente 2/5
b)
3/7 : a = 9
(3/7) : 9 = a
3 : (7*9) = a
3 / 63 = a
entonces:
(3/7) : (3/63) = 9
(3*63) : (7*3) = 9
63 : 7 = 9
entonces, en el recuadro va:
3/63 o su equivalente 1/21
c
a : (1/2) = 5/2
a = (5/2) * (1/2)
a = (5*1) / (2*2)
a = 5/4
entonces:
(5/4) : (1/2) = 5/2
(5*2) : (4*1) = 10/4 = 5/2
entonces, en el recuadro va:
5/4
d
a : (1/2) = 2/5
a = (2/5) * (1/2)
a = (2*1) / (5*2)
a = 1/5
entonces:
(1/5) : (1/2) = 2/5
(1*2) / (5*1) = 2/5
A line segment is a geometric figure that consists of what?
Answers
Match question it has 3 answers I’m giving brainly
Answers
Answer:
1st 2nd and 4th option are correct
Answer:
B
Step-by-step explanation:
C is wrong because -11 + 4 is -7
E is wrong because you can't change the negative sign just for one value on one equation
I dont really understand how to do this with three terms can someone please help?
Answers
Answer:
A. x(x + 7)²
Step-by-step explanation:
Step 1: Write out polynomial
x³ + 14x² + 49
Step 2: Factor out x
x(x² + 14x + 49)
Step 3: Factor out quadratic
x(x + 7)²
Is the following sometimes, always, or never true? If two lines intersect to form congruent adjacent angles, then the lines are perpendicular.
Answers
Answer:
sometime
Step-by-step explanation:
6. Edward bought 23.4 pounds of potatoes and 26.1 pounds of carrots.
How many pounds of vegetables did he buy in all? *
O 49.5 pounds
O 50 pounds
O 50.5 pounds
O 63.3 pounds
Answers
Answer:
49.5 lbs.
Step-by-step explanation:
23.4 + 26.1 equals 49.5 pounds
Hopefully this helps you :)
pls mark brainlest ;)
he Moore family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are beds, desk, and dressers to select from. How many different furniture sets could they select?
Answers
How do I do this, please explain.
Answers
15 Points, PLEASE HELP! What expression is equivalent to 8.4x - 7.2y?
1.2(6x + 7y)
1.2(6x - 7y)
1.2(7x + 6y)
1.2(7x - 6y)
Answers
Answer: 1.2(7x - 6y) is equivalent to 8.4x- 7.2y
Step-by-step explanation:
I took the test
If g(x) = (24 – x)2 + 7, what is
the value of g(6)?
O 250
O-2
O 243
O 331
Answers
[tex]g(x) = (24 - x)2 + 7\\= 48 - 2x + 7\\g(6) = 48 - 2 \cdot 6 + 7\\= 48 - 12 + 7\\= 43[/tex]
The intersection of two streets forms a parallelogram. One street is 40 feet wide. The height of the parallelogram formed is 25 ft. What is the area of the intersection?
Answers
Answer:
1000 feet²
Step-by-step explanation:
Given that,
Width of a parallelogram is 40 feet
Height of the parallelogram is 25 feet
We need to find the area of the intersection that forms a parallelogram. The formula for the area of a parallelogram is given by :
A = base × height
A = 40 × 25
A = 1000 feet²
So, the area of the parallelogram is 1000 feet²
In an AP with 18 terms the common difference is $-3$−3 . If the nth term is $-5$−5, what is its first term?
Answers
Answer:
46
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here d = - 3 and [tex]a_{18}[/tex] = - 5 , thus
a₁ + (17 × - 3) = - 5
a₁ - 51 = - 5 ( add 51 to both sides )
a₁ = 46
Answer:
a = 46
Step-by-step explanation:
Refer to the attachment.
At what points do the the graphs of y = 2x+1 and y= -(x-1)^2+3 intersect?
O A. (-2, -6) and (2, 2)
O B. (-1, -1) and (1,3)
O C. (-3,5) and (2, 2)
O D. (1, 3) and (3,7)
Answers
Hope that helped
whats the answer to this question -9x+1= -8
Answers
-9x=-8-1
-9x=-9
x=1
order the following from least to greatest PLZ I NEED HELP!!!!
Answers
Answer:
½, √0.28, 0.58
Step-by-step explanation:
you need to first change everything into decimals so, ½ = 0.5 , √ 0.28 = 0.53 and 0.58 remains the same. Now you can arrange them from least to greatest once they are in a common form.
HELP!!!!
It was saying that my question is to short so I am just writing this to make it longer! and Thank you to the person who answers my question I do appreciate you taking time out of your day to help me!
Answers
When Scott got his dog Arfus, it weighed
6 lb. Six months later it weighed 8 lb.
How much weight did Arfus gain?
Answers
Find the distance between (8, -4.7) and (8, 5.3)
Answers
Answer:
d = 10
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(8-8)^2+(5.3-(-4.7))^2} \\d= \sqrt{(0)^2+(10)^2} \\d= \sqrt{0+100} \\d= \sqrt{100}\\ d= 10[/tex]
(6 + 3) = (4-5) = 18
Evaluate the following numerical expressions
Answers
Answer:
18
-9
30
Step-by-step explanation:
did on edge :)
Answer:
Evaluate the following numerical expressions.
6 + 3 • 4 = 18
(6 + 3) ÷ (4 – 5) = -9
6 + 23 • 3 = 30
Step-by-step explanation:
i took the test
Evaluate the expression when a = 3, b = 2, and c= -3: (a³ + 2bc)/( c² -5)
Answers
(27-12)/9-5
15/4