Explanation is in the file
tinyurl.com/wpazsebu
Part 2: Identify key features and graph a circle from general form.
Answer the following questions to determine the key features of the circle whose equation is shown
and then graph it.
x2 + y2 + 12x-2y - 12 = 0
a) Write the equation of the circle in standard form. (3 points)
b) What is the center of the circle? (1 point)
c) What is the radius of the circle? (1 points)
d) Sketch a graph of the circle and label the center and the endpoints of the horizontal and
vertical diameter. (4 points)
Answer:
Subtract
12
from both sides of the equation.
x
2
+
y
2
−
12
x
+
2
y
=
−
12
Complete the square for
x
2
−
12
x
.
Tap for more steps...
(
x
−
6
)
2
−
36
Substitute
(
x
−
6
)
2
−
36
for
x
2
−
12
x
in the equation
x
2
+
y
2
−
12
x
+
2
y
=
−
12
.
(
x
−
6
)
2
−
36+y2+2y=−12
Move
−36
to the right side of the equation by adding
36
to both sides.
(x−6)2+y2+2y=−12+36
Complete the square for
y2+2y.
Tap for more steps...
(y+1)2−1
Substitute
(y+1)2−1
for
y2+2y
in the equation
x2+y2−12x+2y=−12.
(x−6)2+(y+1)2−1=−12+36
Move
−1
to the right side of the equation by adding
1
to both sides.
(x−6)2+(y+1)2=−12+36+1
Simplify
−12+36+1.
Tap for more steps...
(x−6)2+(y+1)2=25
This is the form of a circle. Use this form to determine the center and radius of the circle.
(x−h)2+(y−k)2=r2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r=5 h=6 k=−1
The center of the circle is found at
(h,k).
Center:
(6,−1)
These values represent the important values for graphing and analyzing a circle.
Center: (6,−1)
Radius:
5
image of graph
Step-by-step explanation:
Answer:
A) (x+6)^2 + (y-1)^2 =49
B) (-6, 1)
C) Radius of 7
D) I’ll try to add picture
Step-by-step explanation:
hotomath
find the area simplify your answer
Answer:
6x^2-8x-64
Step-by-step explanation:
the answer for solving a quadrilateral
is base times height
so the base is 2x-8 and the height is 3x+8
(2x-8)(3x+8)
expand
6x^2-8x-64
Hope that helps :)
Please give brainliest
9 and 11 need help
Mark brainlist
I will do 9 only. You can do 11.
Question 9
sin(60) = x/8
sin(60)(8) = x
4•sqrt{3} = x
x^2 + y^2 = 8^2
(4•sqrt{3})^2 + y^2 = 64
16(3) + y^2 = 64
48 + y^2 = 64
y^2 = 64 - 48
y^2 = 16
sqrt{y^2} = sqrt{16}
y = 4
Do 11 the same way.
In this fraction, which number is the denominator? 1/15
A.
1
B.
15
Answer: B. 15
Step-by-step explanation: The number on the bottom of the fraction is always the denominator, therefore 15 is the denominator in the fraction.
Recently many companies have been experimenting with telecommuting, allowing employees to work at home on their computers. Among other things, telecommuting is supposed to reduce the number of sick days taken. Suppose that at one firm, it is known that over the past few years employees have taken a mean of 5.4 sick days. This year, the firm introduces telecommuting. Management chooses a simple random sample of 80 employees to follow in detail, and at the end of the year, these employees average 4.5 sick days with a standard deviation of 2.7 days.
a) Describe the population in the context of this problem
b) Describe the parameter u in the context of this problem.
c) Describe the sample in the context of this problem.
d) Describe the statistic in the context of this problem
e) The firm would like to know if there is evidence that the true mean number of sick days for all employees of the firm has decreased after telecommuting was introduced. State the hypotheses. Use ?-0.10.
f) Check the assumptions. If you don't know if an assumption is satisfied based on the information provided, then state "We must assume
g) Calculate the test statistic
h) Find the p-value.
i) Make a decision.
j) State the conclusion in terms of the problem.
Answer:
A.) Population : All employees at a firm
B.) μ = 5.4
C.) Sample : 80 employees at a firm
D.) Sample mean, x bar = 4.5
Step-by-step explanation:
From the question :
E.)
H0: μ ≥ 5.4
H1 : μ < 5.4
F.)
If Pvalue < α ; Reject H0
G.)
Test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(4.5 - 5.4) ÷ (2.7/sqrt(80))
-0.9 ÷ 0.3018691
= - 2.98
H.)
Pvalue fro Zscore calculator, α = 0.10 = 0.002882
I.)
Decision :
0.002882 < 0.10
Since, Pvalue < α ; We reject the Null
J.)
We Can conclude that the true mean number of sick days for all employees of the firm has decreased after telecommuting was introduced
Can someone please answer this question? It is from RSM. The first to answer will be marked brainliest
Answer:
16/20=0.8
Step-by-step explanation:
hope this helps
Answer:
I think it's the second one
what is the value of x when h(x) x-3
Answer:
-1
Step-by-step explanation:
I did it in my review
the arithmetic sequence ai is defined by the formula: a1= 2 ai= ai - 1 -3 find the sum of the first 335 terms in the sequence
Given:
In an arithmetic sequence,
[tex]a_1=2[/tex]
[tex]a_i=a_{i-1}-3[/tex]
To find:
The sum of the first 335 terms in the given sequence.
Solution:
The recursive formula of an arithmetic sequence is:
[tex]a_i=a_{i-1}+d[/tex] ...(i)
Where, d is the common difference.
We have,
[tex]a_i=a_{i-1}-3[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]d=-3[/tex]
The sum of first i terms of an arithmetic sequence is:
[tex]S_i=\dfrac{i}{2}[2a+(i-1)d][/tex]
Putting [tex]i=335,a=2,d=-3[/tex], we get
[tex]S_{335}=\dfrac{335}{2}[2(2)+(335-1)(-3)][/tex]
[tex]S_{335}=\dfrac{335}{2}[4+(334)(-3)][/tex]
[tex]S_{335}=\dfrac{335}{2}[4-1002][/tex]
[tex]S_{335}=\dfrac{335}{2}(-998)[/tex]
On further simplification, we get
[tex]S_{335}=335\times (-499)[/tex]
[tex]S_{335}=-167165[/tex]
Therefore, the sum of the first 335 terms in the given sequence is -167165.
Here are five statements.
For each statement, say whether it is TRUE or FALSE.
The first one has been done for you.
Note: Please make sure you follow the format of the answers, e.g.
2) ....
3) ...
Answer:
Step-by-step explanation:
2) False.
3) True. It could be 50°-65°-65°.
4) True. It could be 35°-35°-110°.
5) True. It could be 40°-50°-90°.
Find the perimeter and area of the figure
Answer:
C.
Step-by-step explanation:
C. is the only answer option with the correct perimeter of 18u
area is correct too
Answer:C
Step-by-step explanation: If you look at the graph it shows that the triangle is 18.u as a perimeter and 20.5 as area.
help me? please?????????
Answer:
[tex]\huge\boxed{\tt{\frac{8}{63} }}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{8}{9} * \frac{1}{7} \\\\= \frac{8*1}{9*7} \\\\= \frac{8}{63} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Who can help me with this please
Answer:
I cant see the full question, what is it ?
Step-by-step explanation:
find the perimeter of following figure. 2 yd ,2yd ,5yd and 4 yd.
Answer:
13yd
Step-by-step explanation:
Perimeter is all the side lengths added
The diagram below shows a circular pizza with a diameter of 16 inches. The pizza is in a square box with side lengths of 18 inches. In square inches, how much of the box is empty?Use π = 3.14 and round your answer to the nearest hundredth.
Answer:
pls do mark my answer as the brainliest..........
Step-by-step explanation:
portion of square empty = 256 - 153.86 = 102.14cm^2
Jaya went shopping for a new phone because of sale. The store was offering a 10% discount. What number should she multiply the prices on the tags by to find the price she would have to pay before tax in one step
Answer:
10%
Step-by-step explanation:
jaya should multiple the price on the tag by 10%.
for example;suppose the price is 1000. and the discount is 10% so 1000×10\100=900
HOPE IT WILL HELP YOU,MARK ME AS A BRAINLIST
This my lil sis work help her
Answer:
Option D is your answer
answer:
d
step-by-step explanation:
here i will show you how to convert the improper fraction 18/15 to a mixed number (aka mixed fraction). we start by setting up the fraction below.
[tex]\frac{18}{15}[/tex]
step 1 - find the whole number
calculate out how many times the denominator goes into the numerator. to do that, divide 18 by 15 and keep only what is to the left of the decimal point:
18 / 15 = 1.2000 = 1
step 2 - find the new numerator
multiply the answer from step 1 by the denominator and deduct that from the original numerator.
18 - (15 x 1) = 3
step 3 - put it together
keep the original denominator and use the answers from step 1 and step 2 to get this:
1 [tex]\frac{3}{15}[/tex]
good luck :)
i hope this helps
have a nice day !
what is 4x + 8 = 10
PLEASEEEEEEE HELP ME! WILL GIVE 20 POINTS AND BRAINLIEST
Answer:
a - 50/100
b - 9/4
c - 27/8
Step-by-step explanation:
Scale: 50/100
Ratio: 36/16 = 18/8 = 9/4
Ratio: 216/64 = 108/32 = 54/16 = 27/8
Let event A = The animal is a bird
Let event B = The animal can fly.
Which outcomes are in A and B?
A. {penguin, robin, sparrow, pelican, bat)
OB. {robin, sparrow, pelican}
O C. (penguin, robin, sparrow, pelican}
O D. (robin, sparrow, pelican, bat)
Answer:
B. {robin, sparrow, pelican}
Step-by-step explanation:
hope it helps you...
The outcomes are in A and B is,
⇒ {robin, sparrow, pelican}
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Let event A = The animal is a bird
Let event B = The animal can fly.
Hence, We get;
The outcomes are in A and B in which animal is a bird and also can fly.
Thus, The outcomes are in A and B is,
⇒ {robin, sparrow, pelican}
Hence, The outcomes are in A and B is,
⇒ {robin, sparrow, pelican}
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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In ………………………………… areas, the annula temperatures is often below Freezing point
Answer:
Tundra
Step-by-step explanation:
In Tundra (or arctic) areas, the annula temperatures is often below Freezing point
write the fraction 4/9 as an equivalent fraction with the given denominator 45
Answer:
answer is in the picture
The sum of 15 and p is equal to 27.
Write the equation that represents the description.
In ΔTUV, the measure of ∠V=90°, the measure of ∠T=72°, and VT = 6.6 feet. Find the length of TU to the nearest tenth of a foot.
Answer:
21.4
Step-by-step explanation:
Answer:
21.4
Step-by-step explanation:
delta math told me! :)
Lauren brings brownies to class and gives 3/5 of them to Peter, Wendy, and Michael. If she gave them 21 brownies, how many did she bring to class?
Answer:
If 3/5 of all the brownies is 21, then 5/3 of 21 is the number of the brownies that Lauren brought in.
That probably sounded super confusing. When multiplying a number by a reciprocal of a fraction (a fraction where the numerator and denominator is reversed), the previous fraction multiplication is reversed.
Multiplying 21 with 5/3 will give us the original number of brownies.
Lauren originally brought 35 brownies.
Step-by-step explanation:
plz mark brainlyest it really helps
having trouble with this problem, pls help :/ I know the answer, just not how to get there. (ap calc ab, integrals)
Answer: D) 101
Step-by-step explanation:
By linearity, we can break it up into 2 integrals. The integral and derivative of f easily cancel out
[tex]\int\limits^{10}_{-1} {(2x+0.5f'(x))} \, dx =\int\limits^{10}_{-1} {2x} \, dx +0.5\int\limits^{10}_{-1} {f'(x)} \, dx =x^2|^{^{10}}_{_{-1}}+0.5f(x)|^{^{10}}_{_{-1}}\\=(100-1)+0.5(f(10)-f(-1))=99+0.5(8-4))=101[/tex]
I used the table for values of f(x) at 10 and -1. Wouldn't be surprised if this was part of a series of questions about f because I really can't see how you could use the hypothesis that f is twice differentiable on R. Same for the other table values. I'm curious about how you found the answer. Was it a different way?
What percent of 125 is 90? Write your answers in the blanks.
Answer:
72
Step-by-step explanation:
Answer:
The percent of 125 to give 90 is 72%
Each question is worth 10 pts, I will do brainliest for the person who does both and follow pls help.
1. One scoop of ice cream weighs about 3 ounces. Last Thursday the ice-cream parlor used 18 pounds of ice cream. About how many scoops of ice cream were served last Thursday?
2. Doris's bill at the ice-cream parlor comes to $2.54. She realizes that she doesn't have any dollar bills, so she is paying with coins. She has 24 coins including quarters, dimes, nickels, and pennies. She has the same number of nickels as quarters and twice as many dimes as quarters. If she has 5 nickels, how many quarters, dimes, and pennies does she have?
Answer:
1. 6
2.
pennies = 9
nickels = 5
quaters = 5
dimes = 10
Step-by-step explanation:
1.
18/3 = 6
as we know that there are 18 scoops, and 3 per icecream, we can divide the two to get the number of ice creams
2.
5n
#n = #q; #q = 2#d, this is a simple ratio, you just plug in the variables to get
5n = 5q = 10d = 15 coins
24 - 15 = 9 pennies
pennies = 9
nickels = 5
quaters = 5
dimes = 10
type an (x,y) ordered pair to put a point on this line.
Answer:
(-2, 5)
Step-by-step explanation:
The ordered pair (x, y) for the given line can be obtained from the graph as (-4, 1).
What is the equation for a straight line?A straight line can be written in the form of equation as, y = mx + c.
Two straight lines intersect each other only at one point.
When two straight lines are parallel to each other the angle between them is zero.
The graph of the line is given.
In order to find the coordinate of a point do as follows,
Draw a perpendicular line from any point on the line to x-axis.
The intersection of this line with x-axis will give the x-cordinate.
Similarly, find y-coordinate by drawing a perpendicular line to y-axis.
Applying the above procedure, a point is obtained as (-4, 1).
Hence, the ordered pair for the line shown in the graph is (-4, 1).
To know more about straight line equation click on,
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2 (a) Simplify.
(i) a6 a2
O pop
Answer:
a4...................hope this helps
What is another possible solution to the inequality -2x > 6?
Answer:
Step-by-step explanation:
Answer:
x<−3
Step-by-step explanation:
Let's solve your inequality step-by-step.
−2x>6
Step 1: Divide both sides by -2.
−2x/−2 > 6/−2
Answer:
x<−3
HOPE THIS HELPS
Branliest pls?