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Name:
Unit 10: Circles
Date:
Per
Homework 9: Standard Form of a Circle.
** This is a 2-page document! **
Directions: Graph each circle and identify its center and radius.
1. (7-6) + (x - 1) = 9
2. (x-2) + ( + 3) = 36
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Center:
Center:
st ccm
en
Radius:
Radius:
M
3.8+(+2) - 64
4. (x + 4)' +(3-5) = 25
Center
Center
The centers and radius for the equations are:
1) (1, 6) and radius 32) (2, -3) and radius 63) (-4, 5) and radius 5And the circles are in the graph below.
How to identify the center and radius of a circle?
A general circle equation centered at the point (a, b), with a radius of R, is written as:
(x - a)^2 + (y - b)^2 = R^2
Then for the given equations we have:
1) (y-6)^2 + (x - 1)^2 = 9
So the center is at (1, 6) and the radius is 3.
2) (x-2)^2 + (y + 3)^2 = 36 = 6^2
So the center is at (2, -3) and the radius is 6.
3) (x + 4)^2 +(y-5)^2 = 25 = 5^2
So the center is at (-4, 5) and the radius is 5.
The graphs of the 3 circles can be seen below. Green is the first circle, blue is the second circle, and red is the last circle.
If you want to learn more about circles, you can read:
https://brainly.com/question/1559324
Answer:
Step-by-step explanation:
What is true about the solution(s) to this system of linear equations?
On a coordinate plane, the same line has equation y = one-fourth (x minus 4) and y = one-fourth x minus 1).
The solution is (4,0).
There is no solution.
The solution is (0,−1).
There are infinitely many solutions.
The options that are true about the system of linear equations are;
A) The solution is (4,0).
C) The solution is (0,−1).
D) There are infinitely many solutions.
What is the solution to the linear equation graph?From the given linear equation graph, we see that the linear equation that is graphed is given by;
y = ¹/₄x - 1
Now, the solution to the given equation will be the value of x that corresponds with the value of y when traced on the graph.
Let us access (4, 0)
At x = 4, we have;
y = ¹/₄(4) - 1
y = 0
Thus, (4, 0) is a solution of the graph.
Let us access (0, -1)
At x = 0, we have;
y = ¹/₄(0) - 1
y = -1
Thus, there are many solutions to the graph
Read more about linear equation graph at; https://brainly.com/question/26148595
#SPJ1
jorden linvested $800 in a savings account. The intest rate id 6%per. Find the simple intrest earned in 3 years. then find the total prinabal plus interst
Answer:
interest: $144principal plus interest: $944Step-by-step explanation:
The amount of interest is found using the simple interest formula. That is added to the principal to find the total account balance.
__
InterestI = Prt . . . . . P = principal, r = annual rate, t = number of years
I = $800·0.06·3 = $144
The simple interest earned in 3 years is $144.
__
Principal plus interestAdding that to the principal gives ...
$800 +144 = $944
The total principal plus interest is $944.
What is the perimeter of the parallelogram?
Please help! Will mark brainlyest.
Answer:
58
Step-by-step explanation:
B=base
A=side
X=2(a+b)=2·(13+16)=58
Step-by-step explanation:
58 maybe coz I got 58 so??
Which graph represents f(x)=4sin(2πx)?
The function f(x)=4sin(2πx) is a sinusoidal function
The graph of the function f(x)=4sin(2πx) is graph (c)
How to determine the graph of the function f(x)=4sin(2πx)?The parent function of a sine function is
f(x) = sin(x)
The function f(x)=4sin(2πx) implies that the parent function f(x) = sin(x) has been horizontally and vertically stretched
So, the graph of the function f(x)=4sin(2πx) would have a higher amplitude and shorter period than its parent function
Hence, the graph of the function f(x)=4sin(2πx) is graph (c)
Read more about function transformation at:
https://brainly.com/question/4289712
What is the value of x?
10
X
8
Answer:
ans = 6
Step-by-step explanation:
using pythoras theorem:
Hyp^2 = Opp^2 + Adj^2
10^2 = x^2 + 8^2
100 = x^2 + 64
x^2 = 100 - 64
x^2 = 36
x = √36
x = 6.
Hope this helps .
Complete the equation
2/8= _ divided by _
Answer:
2 divided by 8
Step-by-step explanation:
2/8
/ means division sign
The following two-way table represents data from a survey asking students whether they have visited alaska, hawaii, or both. a 4-column table with 3 rows. the first column has no label with entries hawaii, not hawaii, total. the second column is labeled alaska with entries 6, 8, 14. the third column is labeled not alaska with entries 15, 21, 36. the fourth column is labeled total with entries 21, 29, 50. what is the relative frequency for students who have been to alaska? what is the relative frequency for students who have been to hawaii but not alaska? what is the relative frequency for students who have not been to alaska or hawaii?
Relative frequency is frequency relative to some quantity, usually the marginal or total frequency. The needed relative frequencies are: 14/50, 15/50, and 44/50 respectively.
How to find the relative frequency?Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).
The two way table given is:
Alaska Not Alaska Total
Hawaiii 6 15 21
Not Hawaii 8 21 29
Total 14 36 50
Calculating the needed relative frequencies one by one:
Case 1: The relative frequency for students who have been to Alaska
Total students who went to Alaska= 14Total number of students in survey = 50Thus, the relative frequency for students who have been to Alaska (relative to total count) is 14/50
Case 2: The relative frequency for students who have been to Hawaii but not Alaska
Total students who went to Hawaii but not Alaska= 15Total number of students in survey = 50Thus, the relative frequency for students who have been to Alaska (relative to total count) is 15/50
Case 3: The relative frequency for students who have not been to Alaska or Hawaii
Total students who haven't been to Alaska or Hawaii = total students's count - those who have been to both Hawaii and Alaska = 50 - 6 = 44Total number of students in survey = 50Thus, the relative frequency for students who have been to Alaska (relative to total count) is 44/50
Thus, the needed relative frequencies are: 14/50, 15/50, and 44/50 respectively.
Learn more about relative frequency here:
https://brainly.com/question/8358304
Can someone help with trigonometry? 12 points
Answer:
A° = 44.42°
Step-by-step explanation:
Soh Coh Toa
Soh: sin(theta) = Opp/Hyp
Coh: cos(theta) = Adj/Hyp
Toa: tan(theta) = Opp/Adj
We are using Coh: cos(theta) = Adj/Hyp because we need to find Angle A and that 5 is Adjacent and 7 is the Hypotenuse.
cos(A°) = 5/7
A° = cos^-1 (5/7)
A° ≈ 44.4153086
A° = 44.42°
I would really like some help with this problem, if anyone can help me with this problem I will appreciate it, thank you advance.
select the equivalent expression (3^3*6^6)^-3
Answer:
[tex]\textsf{B)} \quad \dfrac{1}{3^9 \cdot 6^{18}}[/tex]
Step-by-step explanation:
[tex](3^3 \cdot 6^6)^{-3}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]
[tex]\implies \dfrac{1}{(3^3 \cdot 6^6)^3}[/tex]
[tex]\textsf{Apply exponent rule} \quad (ab)^c=a^c \cdot b^c:[/tex]
[tex]\implies \dfrac{1}{(3^3)^3 \cdot (6^6)^3}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies \dfrac{1}{3^9 \cdot 6^{18}}[/tex]
[tex]\\ \rm\Rrightarrow (3^3.6^6)^{-3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{(3^36^6)^3}[/tex]
(a^n)^m=a^mn[tex]\\ \rm\Rrightarrow \dfrac{1}{3^96^{18}}[/tex]
Option B
please please please help meee
Answer:
-5 ≤ x ≤ 5
Step-by-step explanation:
If x^2 = 25
x = -5 or 5
BUT inequality
IF x is POSITIVE 5
You can square root both sides
x ≤ 5
IF x is NEGATIVE 5
You can divide both sides by -5
BUT switch inequality sign
This is because basically dividing both sides by negative
x ≥ -5
FINAL INEQUALITY
-5 ≤ x ≤ 5
90 over 7 EndFraction divided by 1 and three-fourths
Answer:
7[tex]\frac{17}{49}[/tex]
Step-by-step explanation:
[tex]\frac{90}{7}[/tex]÷1 [tex]\frac{3}{4}[/tex]
= [tex]\frac{90}{7}[/tex]×[tex]\frac{7}{3}[/tex] ( keep change flip )
= [tex]\frac{360}{49}[/tex]
=7[tex]\frac{17}{49}[/tex]
HELP ASAP!!! Reflect the triangle across the dashed line and enter the new coordinates. Enter the number that belongs in the green box. ALL ANSWERS PLEASE!!! WILL MARK BRAINLIEST!!!
Answer:
Step-by-step explanation:
The triangle is being reflected over the y-axis.
The rule for a reflection over the y-axis is (x, y) → (x, -y)This means that the x-values stay the same while the y-values change.A(x, y) → (x, -y)
A(1, 4) → (1, -4)
A'(1, -4)
B(x, y) → (x, -y)
B(4, 3) → (4, -3)
B'(4, -3)
C(x, y) → (x, -y)
C(2, 1) → (2, -1)
C'(2, -1)
Hope this helps!
Scientists have determined that the amount of carbon dioxide in the atmosphere can be modeled by the equation y = 2x + 368, where x is the number of years since the turn of the century and y is the amount of carbon dioxide in parts per million. Which of these statements are correct according to the model? Select all that apply.
A Every year the amount of carbon dioxide in the atmosphere increases by 2 parts per million.
B Every 2 years the amount of carbon dioxide in the atmosphere increases by 1 part per million.
C 10 years from now there will be 5 more parts per million of carbon dioxide in the atmosphere than there are now.
D 10 years from now there will be 20 more parts per million of carbon dioxide in the atmosphere than there are now.
E 10 years from now there will be 373 parts per million of carbon dioxide in the atmosphere.
F 10 years from now there will be 388 parts per million of carbon dioxide in the atmosphere.
Answer:
A and D
Step-by-step explanation:
A true
B false
C false
D true
E false
F false ==> 10 years from now is 32 years since turn of century = x
there will be 2 (32) + 388 = 452 ppm
2 . Using the slope-intercept form of a line, find the equation of the line with slope and y-intercept-2. Then graph the line on the grid provided and explain how you determined your graph
Answer:
see below
Step-by-step explanation:
slope intercept form slope = -2 y axis intercept = -2
y = -2x - 2 to graph this pick two values of x say -3 and + 2
plug these values into the equation to find the corresponding y values, plot the points and then draw a line connecting them
find the mean weight of 3,2,26,9
Answer:
10
Step-by-step explanation:
Add all the numbers : 3+2+26+9 = 40
Divide the total with the number of data you have which is 4 so 40÷4= 10
What is the solution to the equation below?
Select the correct answer from each drop-down menu. using the distributive property to factorize the equation 3x2 24x = 0, you get . the solution of the equation is .
Using the distributive property to factorize the equation 3x² + 24x = 0, you get 3x(x + 8) = 0 and the solution of the equation is x = -8
How to factorize the expression?The expression is given as:
3x² + 24x = 0
Factor out 3x
3x(x + 8) = 0
Divide both sides by 3x
x + 8 = 0
Subtract 8 from both sides
x = -8
Hence, the solution of the equation is x = -8
Read more about factorized expressions at:
https://brainly.com/question/7438300
Answer:
3x(x + 8) = 0 and x = -8
Step-by-step explanation:
It was correct for me
Drake and Evan are teammates on a high school swim team drake swim 312. 63 m during practice evan swim exactly 1/3 times farther than drake exactly how far did Evan swim?
Answer:
416.84 m
Step-by-step explanation:
First Step:
Multiple 312.63 by 1/3
312.63*1/3=104.21
Second Step:
Add 312.63 to 104.21
312.63+104.21=416.84
[tex]✤ \: \underline{ \underline{ \frak{Understanding~the~question : - }}} \\ \\ [/tex]
In this question, we have been provided that Evan swims 1/3 times farther than Drake, thus, the total distance covered by Evan will be equal to the sum of 312.63 m and the 1/3rd of 312.63 m. Thus, at first we will calculate the one third of the distance and then add them up to get our final answer.
⠀
[tex]✤ \: \underline{ \underline{ \frak{Given:-}}} \\ \\ [/tex]
There are two teammates in a high school teamDrake swims 312.63 m Evan swims 1/3 times farther than Drake⠀
[tex]✤ \: \underline{ \underline{ \frak{To~Find :-}}} \\ \\ [/tex]
The distance travelled ( swim ) by Evan⠀
[tex]✤ \: \underline{ \underline{ \frak{Solution :-}}} \\ \\ [/tex]
Calculating the one - third,
[tex] \sf \longrightarrow \dfrac{1}{3} \: of \: 312.63 \: m \\ \\ \\ \sf \longrightarrow \dfrac{1}{3} \times 312.63 \: m \\ \\ \\ \sf \longrightarrow \dfrac{1}{ \cancel3} \times \cancel{312.63} \: m \: \\ \\ \\ \sf \longrightarrow 1 \times 104.21 \: m \: \: \\ \\ \\ \sf \longrightarrow 104.21 \: m \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus,
⠀
[tex] \sf \longrightarrow Distance~covered~by~Evan =312.63 \: m + 104.21 \: m \\ \\ \\ \sf \longrightarrow Distance~covered~by~Evan =416.84 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, the distance covered by Evan is 416.84 m.
⠀
[tex]\underline{\rule{227pt}{2pt}} \\ \\ [/tex]
1323 flowers, each vase has to have exactly 8 flowers, how many vase
Answer:
Step-by-step solving
Step-by-step explanation:
Looking at this problem you are going to need to divide the numbers already given to firgure out how many flower vases fit exactly 8 flowers-
1323 divided by 8= the answer I got was a decimal(165.375) you could always round or re-look at the problem, but you can't have a half of a vase so you would need to round to a whole number. Maybe insert a picture of the problem just incase you might of not added some things in the question. hope this helps.
Help Me please Its on inequality’s
Answer:
Yes
Step-by-step explanation:
y > 3x + 6
-8 > 3(-5) + 6
-8 > -15 +6
-8 > -9
-8 is greater than -9
Please help!! Will mark brainlyest.
|2x-5|=9 please awnser i need this for math
Answer:
7
Step-by-step explanation
2x = 14
divide by 2
The heights of 100 people in an office building were recorded and the results were normally
distributed. Which histogram shows a normal distribution that could represent this data?
Answer:
d
Step-by-step explanation:
what is 55-22 asap I USED MY HANDS BUT -_-
Answer:
33 there you go
Step-by-step explanation:
In money in a savings account earned 8.5% intrest per annum, how much interest would be earned on $200.00 over two years?
Answer:
$1305.91
Step-by-step explanation:
To solve this, we can use the geometric sequence formula
[tex]\alpha _n=a_1*r^n^-^1[/tex]
If we plug in our values we get [tex]\alpha _n=200*1.085^2^3[/tex]
Thus, leaving us with 1305.91
Hope this helps
I’m struggling with this question need some help
The value of y varies directly with x, and when x = y = 25. What is the value of
HELP A GIRL OUT
Answer:
A 233.3 or 233 1/3
Step-by-step explanation:
X =1/4
Y =25
1/4 X 100= 25
2 1/3 X 100= 233.3
MATH
NATION
Which of the following statements are true? Select all that apply.
The correlation coefficient gives us information as to how strong the linear association is between two qualitative variables ?
Answer:
1,3
Step-by-step explanation: