Answers
Answer:
[tex](x+1)^2+(y+4)^2=9\\[/tex]
Step-by-step explanation:
The general format for the equation of a circle is the following:
[tex](x-h)^2+(y-k)^2=a^2\\[/tex]
Where [tex](h,k)[/tex] is the center of the circle and ([tex]a[/tex]) is the circle's radius. Please note, that the circle ([tex](x-h)^2+(y-k)^2=a^2\\[/tex]) has a center that is (h) units to the right of the origin, and (k) units above the origin.
The given circle has a center at [tex](-1,-4)[/tex], moreover, its radius is (3) units. Therefore, one must substitute these points into the equation of a circle and simplify to find its equation:
[tex](x-h)^2+(y-k)^2=a^2\\[/tex]
[tex](x-(-1))^2+(y-(-4))^2=(3)^2\\[/tex]
[tex](x+1)^2+(y+4)^2=9\\[/tex]
Answer:
Step-by-step explanation: Let's first determine the center of the circle
which is represented by the red dot and it has the coordinates (-1, -4).
The radius of the circle is a segment that joins the center of the
circle to a point on the circle and all radii of a circle are congruent.
The radius of the circle shown here is 3.
Now, the equation of a circle is (x - h)² + (y - k)² = r² where
(h, k) is the center of the circle and r is the radius.
Now we plug all our given information into the formula.
So we have [x - (-1)]² + [y - (-4)]² = (3)².
Notice that I changed the parentheses in the formula to brackets
so that we wouldn't be dealing with too many sets of parentheses.
Changing the brackets back to parentheses,
our equation is (x + 1)² + (y + 4)² = 9.
Related Questions
What are the zeros of the polynomial function f(x) = x3 − 10x2 + 24x?
Answers
Answer:
x=0 x=4 x=6
Step-by-step explanation:
f(x)=x^3 − 10x^2 + 24x
Factor out the greatest common factor
f(x)=x(x^2 − 10x + 24)
Factor inside the parentheses
f(x)=x(x-4)(x-6)
Setting equal to zero
0 = x(x-4)(x-6)
Using the zero product property
x=0 x-4 = 0 x-6 =0
x=0 x=4 x=6
How to find the area of the shaded region
Answers
Answer:
61 cm^2.
See below.
Step-by-step explanation:
find the value
여
3
13
- 9
65
Answers
Answer:
pls correct your question
I need help ASAP!!!Please explain how you got your answer
Answers
Answer:
See the pic below.
Step-by-step explanation:
I erased the incorrect answers and filled in the correct answers with numbers.
2/3 of a number is 20 less than the original number.find the number
Answers
9(p−4)=−18 p= I am not great at math, please explain just a little bit
Answers
Answer:
[tex]\large \boxed{{p=2}}[/tex]
Step-by-step explanation:
9(p-4) = -18
Expand brackets.
9p -36 = -18
Add 36 on both sides.
9p -36 + 36 = -18 + 36
9p = 18
Divide both sides by 9.
(9p)/9 = 18/9
p = 2
Answer:
p = 2
Step-by-step explanation:
9(p - 4) = -18
You are solving for the variable, p. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, divide 9 from both sides:
(9(p - 4))/9 = (-18)/9
(p - 4) = -18/9
p - 4 = -2
Isolate the variable, p. Add 4 to both sides:
p - 4 (+4) = -2 (+4)
p = -2 + 4
p = 4 - 2
p = 2
Check. Plug in 2 for p in the equation:
9(p - 4) = -18
9(2 - 4) = -18
9(-2) = - 18
-18 = -18.
~
In a mathematics class, half of the students scored 89 on an achievement test. With the exception of a few students who scored 48, the remaining students scored 79. Which of the following statements is true about the distribution of scores?
A. The mean is less than the median.
B. The mean and the median are the same.
C. The mean is greater than the mode.
D. The mean is greater than the median.
Answers
Answer:
A. The mean is less than the median.
Step-by-step explanation:
Half the students scored 89. The next highest score is 79. So the median is (79 + 89) / 2 = 84.
A few students scored 48, so the mean is slightly lower than the mean of 79 and 89.
Therefore, the mean is less than the median.
Answer:
A. The mean is less than the median.
Step-by-step explanation:
Say that half the students answered 79, and the rest 89.
We'd have a distribution something like this:
79 79 79 89 89 89
The median is in the smack middle. Since we have an even number of scores, the median would be the number between the 2 middle numbers. Here, that's 79 and 89. Thus, the median is 84.
The mean is the "average" of all values. Since we have an equal number of 79s to 89s, the mean would also be in the middle of those values (balancing an equal number on both sides). So, the mean would also be 84.
HOWEVER, we have an unspecified number of 48's.
The distribution looks something like
48 79 79 89 89 89
The median is still the same, smack middle between the 2 values in the middle. 84.
But the mean has changed. We have smaller values on the left. The mean is brought down by these 48 values. It doesn't matter how many, the fact that we have at least 1 will bring the mean, the average, down.
Which equation can be used to solve for x in the following diagram?
PLS ANSWER I NEED HELP BRAINLIST AND A THANK YOU WILL BE REWARDED
Answers
Answer:
D. 4x+5x=180
Step-by-step explanation:
Answer:
D. 4x + 5x = 180
Step-by-step explanation:
The two angles form a straight line and a straight line equals 180°. So, the sum of the two angles has to equal 180°.
4x + 5x = 180
9x = 180
x = 20°
Hope that helps.
When factoring 6x2−7x−20 by grouping, how should the middle term be rewritten?
It should be written as 8x−15x.
It should be written as −2x−5x.
It should be written as x−8x.
It should be written as −x−7x.
I think its B but im not sure
Is the given equation a quadratic equation? Explain.
x(x−6)=−5
The equation is not a quadratic equation because there is no x2-term.
The equation is a quadratic equation because there is an x2-term.
The equation is not a quadratic equation because the expression is not equal to zero.
The equation is not a quadratic equation because there is a term with degree higher than 2.
Which of the following is an example of the difference of two squares? x2−9
x3−9
(x+9)2
(x−9)2
Answers
Answer:
(3x+4)(2x-5)
Step-by-step explanation:
Factor by grouping.
Pleaseeeeee
Within 9 hours, the number of stars seen went from 190 to 33 as the sun started to rise. Find out how many stars are getting hidden by the sunlight each hour.
Answers
Answer:
Approximately 17
Step-by-step explanation:
Number of starts getting hidden in 9 hours = 190 - 33
= 157
Therefore the nun of starts getting hidden in 9 hours is 157
9 hours = 157 stars
1 hours = x
Cross multiply
9 × x = 157 × 1
9x = 157
Divide both sides by 9
x = 157 ÷ 9
x = 17.4
Therefore 17.4 stars are getting hidden every hour.
Answer:
17 4/9 stars per hour
Step-by-step explanation:
First find the decrease in the number of stars
190-33 = 157
Divide by the hours that passed
157/9
17 4/9 stars per hour
3y-4(5x-3y+y²) expand and simplify
Answers
Answer:
23x + 12y + -4xy^2
Step-by-step explanation:
So lets first expand
3y (-4 x(5x - 3y + y^2)
let's ignore 3y for now
Since 5x - 3y + y^2 can't be simplified, we move on to multiplying each number.
note: Capital X = Multiplying symbol
___________________________________
-4 X 5x, -4 X - 3y, -4 X y^2
= -20x + 12y + -4xy^2
now we bring back the 3x
3x - -20x + 12y + -4xy^2
so now we simplify, by finding like terms
= 23x + 12y + -4xy^2
An octagonal pyramid ... how many faces does it have, how many vertices and how many edges? A triangular prism ... how many faces does it have, how many vertices and how many edges? a triangular pyramid ... how many faces does it have, how many vertices and how many edges?
Answers
1: 8 faces and 9 with the base 9 vertices and 16 edges
2: 3 faces and 5 with the bases 6 vertices and 9 edges
3: 3 faces and 4 with the base 4 vertices and 6 edges
Answer:
Step-by-step explanation:
Octagonal pyramid has 8 sloping faces and the base.
Total 9 faces.
Also 8 slope edges and 8 base edges
Total 16 edges.
It has 1 + 8
Total 9 vertices.
A Triangular prism has 5 faces and 9 edges.
Also 6 vertices.
Triangular pyramid has 4 faces, 4 vertices and 6 edges.
Note: The relation betseem faces, vertices and sdges in a polyhedron is given by Euler's formula:
T + V - E = 2
So we see, for an octagonal pyramid:
9 + 9 - 16 = 2.
7(x+1)=21 solve for x
Answers
7x + 7 = 21
7x = 14
x = 2
if A=(p,q,r) write all possiblesubsets of A
Answers
Answer:
Given, A={p,q,r}.
Now, possible subsets of A are ,{p},{q},(r) {p,q}.
(q,r) (p,r) (p,q,r)
1. Check the divisibility of the following numbers by 2, 3, 9 and 11 a) 76543 b) 98765436
2. Which of the following numbers are divisible by 4 or 8? a) 67894 b) 9685048
WILL MARK THEM AS BRAINLIST
Answers
Answer:
1. ( I didnt understand the question but I divided them using the calculator.)
A.) 76543
÷ 2= 38,271.5
÷ 3= 25,514.333...
÷ 9= 8,504.777...
÷ 11= 6,958.454545...
B.) 98765436
÷ 2= 49,382,718
÷ 3= 32,921,812
÷ 9= 10,973,937.333...
÷ 11= 8,978,676
2. B
A.) 67894
÷ 4= 16,973.5
÷ 8= 8,486.75
B.) 9685048
÷ 4= 2,421,262
÷ 8= 1,210,631
Explanation:
I used the calculator to divide.
I hope this helps! I'm sorry if it's wrong.
a laptop computer is 1.05 centimeters thick
Answers
Answer:
yes and?
Step-by-step explanation:
(x2 - 41)2 + (yz - Yı) to the find the length of the segment
62. Use the distance formula d =
from (6,0) and (-5, 4).
Answers
Answer:
√137
Step-by-step explanation:
[tex](x_1, y_1) = (6, 0)\\(x_2, y_2) = (-5, 4)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d = \sqrt{(-5-6)^2+(4-0)^2}\\ d = \sqrt{(-11)^2+(4)^2}\\ d = \sqrt{121+16}\\ d = \sqrt{137}\: or \:11.7[/tex]
a girl walk to her anteys house and it took 45 minats and she gose to school it took her 61 minates and how many minats was it all together
Answers
Answer:
45+61=106
the answer for this question is 106 minutes
Step-by-step explanation:
Answer:
106 minutes/1hour 46 minutes
Step-by-step explanation:
45+ 61 :106
Identify the cross section shown
circle
rectangle
triangl
trapezoid
Answers
It is a rectangle
The shaded thing
Must click thanks and mark brainliest
BRAINLIEST graphing question
Answers
Answer:
Step-by-step explanation:
When trying to determine where to shade on the inequality below, why is it unhelpful to test the point (4,0)?
vs-ſ=+2
Answers
Answer:
It will not be very helpful to use this point because it lies on the x-axis. Which doesn't show what area to shade.
Step-by-step explanation:
Let $DEF$ be an equilateral triangle with side length $3.$ At random, a point $G$ is chosen inside the triangle. Compute the probability that the length $DG$ is less than or equal to $1.$
Answers
[tex]|\Omega|=(\text{the area of the triangle})=\dfrac{a^2\sqrt3}{4}=\dfrac{3^2\sqrt3}{4}=\dfrac{9\sqrt3}{4}\\|A|=(\text{the area of the sector})=\dfrac{\alpha\pi r^2}{360}=\dfrac{60\pi \cdot 1^2}{360}=\dfrac{\pi}{6}\\\\\\P(A)=\dfrac{\dfrac{\pi}{6}}{\dfrac{9\sqrt3}{4}}\\\\P(A)=\dfrac{\pi}{6}\cdot\dfrac{4}{9\sqrt3}\\\\P(A)=\dfrac{2\pi}{27\sqrt3}\\\\P(A)=\dfrac{2\pi\sqrt3}{27\cdot3}\\\\P(A)=\dfrac{2\pi\sqrt3}{81}\approx13.4\%[/tex]
Answer:
13.44%
Step-by-step explanation:
For DG to have length of 1 or less, point G must be contained in a sector of a circle with center at point D, radius of 1, and a central angle of 60°.
The area of that sector is
[tex]A_s = \dfrac{n}{360^\circ}\pi r^2[/tex]
[tex]A_s = \dfrac{60^\circ}{360^\circ} \times 3.14159 \times 1^2[/tex]
[tex] A_s = 0.5254 [/tex]
The area of the triangle is
[tex] A_t = \dfrac{1}{2}ef \sin D [/tex]
[tex]A_t = \dfrac{1}{2}\times 3 \times 3 \sin 60^\circ[/tex]
[tex] A_t = 3.8971 [/tex]
The probability is the area of the sector divided by the area of the triangle.
[tex]p = \dfrac{A_s}{A_t} = \dfrac{0.5254}{3.8971} = 0.1344[/tex]
The cost of wire sold by the Thor Company is shown in the graph. What is the cost of wire per foot?
1. $0.20
2. $1.25
3. $4.00
4. $5.00
Answers
111111101010100110
Step-by-step explanation:
es 125
Find the distance between the two points (-4,4) and (1,0)
Answers
Answer:
The answer is
[tex] \sqrt{41} \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by
[tex] \sqrt{ ({x _{1} - x_{2} })^{2} + ({y_{1} } - y_{2} )^{2} } [/tex]
where
( x1 , y1) and ( x2 , y2) are the points
So the distance between (-4,4) and (1,0) is
[tex] \sqrt{( { - 4 - 1})^{2} + ( {4 - 0})^{2} } [/tex][tex] = \sqrt{ ({ - 5})^{2} + {4}^{2} } [/tex][tex] = \sqrt{25 + 16} [/tex]We have the final answer as
[tex] \sqrt{41} \: \: \: units[/tex]Hope this helps you
show that (x-1) is a factor of x¹⁰-1
Answers
Answer:
The answer is 0 X=1
1. x10-1
(1)10-1
1-1
=0
2. x11-1
(1)11-1
1-1
=0
Step-by-step explanation:
= (x^5+1)(x)(x^2+1)(x^2-1)
= (x^5+1)(x)(x^2+1)(x+1)(x-1)
See that (x-1) is one of the factors after the factorization. This proves it.
Whew
Find the circumference of this circle
using 3 for TT.
C ~ [?]
24
C = id
Answers
Answer:
72
Step-by-step explanation:
The diameter is 24
pi is approximated by 3
The circumference is given by
C = pi *d
= 3 * 24
= 72
20 POINTS! ***CORRECT*** ANSWER GETS BRAINLIEST!!!!
The fraction model below shows the steps that a student performed to find a quotient.
Which statement best interprets the quotient?
A. There are 5 1/6 three-fourths in 4 1/8
B. There are 5 1/6 three and one-eights in 3/4
C. There are 5 1/2 three and one-eights in 3/4
D. There are 5 1/2 three-fourths in 4 1/8
Answers
Answer:
The answer is A pls mark me brainly
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ = 24.2 σ=24.2. You would like to be 98% confident that your estimate is within 1 of the true population mean. How large of a sample size is required?
Answers
Answer:
use a z* value accurate to TWO places for this problem. (Not z = 2)
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
;)
Which transformations to the graph of j(x) would result in the graph of j(4x)-27
Answers
Answer:
Composition and vertical translation must be done in the parent function.
Step-by-step explanation:
Let be [tex]j(x)[/tex] the parent function, if [tex]g(x) = j(4\cdot x) -27[/tex], then two transformation must be done in the following order:
Composition
[tex]j \circ h (x) \rightarrow j(h(x))[/tex], where [tex]h(x) = 4\cdot x[/tex]
Vertical translation
[tex]g(x) = j(4\cdot x) -27[/tex]
Composition and vertical translation must be done in the parent function.
Answer: Option D
Horizontal compression by a factor of 1/4, and a translation 27 units down
In this 3x3 square, you can use only numbers from 1-9, to make all the rows and columns equal to 15. Good luck to the person solving this and just know that I and lots more people thank you for solving this!
Answers
Answer:
Hello,
Step-by-step explanation:
The well-known magic square. (first apparition in China).
Here it the methode du Marquis de Liouville: (odd square:3,5,7,9,11,13,...)
We are going to put successively the number from 1 to n² (here n=3)
We imagine that the square is put on a sphere;
We begin in the middle of the last line where we put 1
ICI:
We move in direction SE of one case and put le next number
until we reach of multiple of n
After have reached a multiple of n, we move verticaly of one case
and we go to ICI until we reach n²