Circular equations are organized like this:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
[tex](h,k)[/tex] is the center of the circle[tex]r[/tex] is the radiusSolving the QuestionWe're given:
(6, 0) and (-6, 0) are the endpoints of the diameter of a circleTo find the equation of this circle, we must determine two things:
The center of the circleThe radiusTo determine the radius of the circle, find the distance between the given endpoints and divide by 2:
(6, 0) and (-6, 0)
⇒ There are 6 units between (0,0) and (6,0).
⇒ There are 6 units between (0,0) and (-6,0).
⇒ 6 + 6 = 12; the diameter of the circle is 12 units
⇒ 12 / 2 = 6
Therefore, the radius of the circle is 6 units.
To determine the center of the circle, find the midpoint of the given endpoints:
(6, 0) and (-6, 0)
⇒ The midpoint occurs at the very middle of these two points. The distance between the midpoint and (6,0) is equal to the distance between the midpoint and (-6,0).
⇒ We identified earlier that there are 6 units between (0,0) and (6,0), and that there are 6 units between (0,0) and (-6,0).
Therefore, the center of the circle is (0,0).
Plug the center and the radius into the equation:
[tex](x-h)^2+(y-k)^2=r^2\\x^2+y^2=6^2\\x^2+y^2=36[/tex]
Answer[tex]x^2+y^2=36[/tex]
The exact circumference of a circle is 18π inches. What is the approximate area of the circle? Use 3.14 for π. Round to the nearest hundredth if necessary.
Answer:
254.34
Step-by-step explanation:
Given the circumfrence we can find the diameter b dividing by pi which will get us 18. We can then divide by 2 to get 9 which is our radius. To get the area we will square our radius :81 and multiply it by pi to get 254.34.
The population of a city is modeled with the function P = 250,000e^0. 013t, where t is the number of years since 2000. In what year will the population reach 450,000
[tex]P=250000e^{0.013t}\implies \stackrel{P}{450000}=250000e^{0.013t}\implies \cfrac{450000}{250000}=e^{0.013t} \\\\\\ \cfrac{9}{5}=e^{0.013t}\implies \log_e\left( \cfrac{9}{5} \right)=\log_e(e^{0.013t})\implies \ln\left( \cfrac{9}{5} \right)=0.013t \\\\\\ \cfrac{\ln\left( \frac{9}{5} \right)}{0.013}=t\implies 45.21\approx t\qquad \textit{about 45 years, 2 months and a half}[/tex]
If the universal set contains natural numbers that are at most 25, and A is
the set of multiples of 3 that are less than 20, define A.
(Your answer should look like. { #,##} Do not put spaces between
comma and the number. )
The set A defined as a multiple of 3 that are less than 20 is given as:
A = {3,6,9,12,15,18}
What is a set?A set is a collection of elements in a defined order
How to write the universal setThe universal set U which contains natural number of at most 25 is given as
U = {1,2,3,4,5,6,7,8,9,10,...,25}
How to write the elements of set AThe set A defined as a multiple of 3 that are less than 20 is given as
A = {3,6,9,12,15,18}
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The original version of a song is 270 seconds long.
The remix is 20% shorter. How many seconds long is
the remix of the song?
Answer:
The remix is 216 seconds long.
Step-by-step explanation:
Answer:
216 seconds
Step-by-step explanation:
270/5 =54
54*4=216 seconds.
Ryan used 50 apples to make several pies. He put the same number of apples in each pie. He had 1 apple left over. How many pies did he make ?
Answer:
7
Step-by-step explanation:
50-1 = 49
Since all pies must have the same amount of apples, we can do √49 and get 7, meaning there are 7 pies with 7 apples each.
Answer: 7
Step-by-step explanation: of he had 1 apple left, he used 49 Apples.
if he used sane number of apple in each pie, we can use square root of 49 which is 7
Please help!!!!!!!! How do I type?
Answer:
Keyboard fam
Step-by-step explanation:
Answer:
You press the buttons in the keyboard.
Step-by-step explanation:
hope it helps
sorry if I'm wrong
lol
According to financial experts, a renter should allow 25% - 30% of their gross income for rent. Brandon makes $52,000 per year. What is the most he should spend on rent per month?
Find the next number in the 4; 2; 1; 2 .......
Answer:
The answer is 3
let me know if im wrong :)
x <-2 and x < -5
Rsm question
Answer:
-6, -7, although if you can select everything under -5 but not containing it select that
Step-by-step explanation:
Everything less than -5
What is the slope of the line that passes through the points (4, 7) and (8, 9)
Answer:
y = 0.5x + 5
Step-by-step explanation:
Use the slope formula to find the slope of a line given the coordinates of two points on the line.
The slope formula is:
m = [tex]\frac{y{2}-y{1} }{x{2}- x{1} }[/tex] = [tex]\frac{y}{x}[/tex]
The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.
Now let's fill in the formula with the points,
m = [tex]\frac{8-4}{9-7}[/tex]
Solve,
⇒ Y = 9 – 7 = 2
⇒ X = 8 – 4 = 4
m = [tex]\frac{8-4}{9-7}[/tex] = [tex]\frac{2}{4}[/tex]
Simplify,
⇒ [tex]\frac{2}{4}=\frac{1}{2}=0.5[/tex]
Therefore, the Equation of the line is y = 0.5x + 5.
Find the nth term of this number sequence
7, 10, 13, 16, ...
help please !!
Answer:
[tex]a_{n}[/tex] = 3n + 4
Step-by-step explanation:
there is a common difference between consecutive terms , that is
10 - 7 = 13 - 10 = 16 - 13 = 3
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 7 and d = 3 , then
[tex]a_{n}[/tex] = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4
Answer:
The nth term = 3n + 4.
Step-by-step explanation:
The formula for the nth term of an arithmetic progression is a(n) = dn + a(1) - d.
So this breaks down simply to,
a(n) = dn + a(1) - d a(n) = 3n + 7 - 3 a(n) = 3n + 4
Jayla bought 4.3 pounds of apples. Jaden bought 2.73 pounds of apples. How many
more pounds of apples did Jayla buy than Jaden?
If a polynomial has three terms, x2 + 12x + 36, which factoring method can be considered?
Answer:
perfect square trinomial methodIf a polynomial has three terms, x2 + 12x + 36, which factoring method can be considered? Summary: If a polynomial has three terms, x2 + 12x + 36, the perfect square trinomial method can be considered to find the factor of the expression.
The speedometer on Leona's car
ws the speed in both miles per
and kilometers per hour. Using
the mile per hour rate that is
valent to 40 kilometers per hour.
Answer: 24.86miles/hr
Step-by-step explanation: Divide the speed by 1.609 to convert
Sketch the graphs. -3x+4y=-4
Answer:
(0,-1)
Step-by-step explanation:
Graph the line using the slope and the y intercept
y=mx+b form: y=3/4x-1
Answer:
(0,-1) (1.333, 0)
Step-by-step explanation:
You deposit $2500 into a bank account that pays 7.5% annual interest, compounded continuously. Find
the amount in the account after 6 years?
Answer:
16,125
Step-by-step explanation:
What is the value of the expression below when y=10y=10?
5y+3
5y+3
Answer:
53
Step-by-step explanation:
I assume the question is find the value of 5y+3 when y=10.
5y+3
5*(10)+3
= 50 + 3
=53
LEMON SQUASH
1 part concentrate
to 2 parts water
If you put 140 ml of water in a glass,
how much concentrate should be added?
Mr. Wilson wants to buy a new
computer. The regular price is
$1,049. Mr. Wilson has a 20% off
coupon. After using the coupon,
he must pay a sales tax of 5.25%.
What is the final cost of the
computer?
What is the correct answer NEED ANSWER ASAP
Answer:
f(-1) = 4
Step-by-step explanation:
Using the Quadratic Formula [tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}, \frac{-b-\sqrt{b^2-4ac} }{2a}[/tex] our Polynomial to find our zeros values on the x-axis.
Any other factoring method that you can think and do can also work.
To find our (h,k) or origin we use this formula [tex]h=x=-\frac{b}{2a}[/tex] and then plug our h=x into the equation to get out k.
To find our y-intercept. Plugin x = 0 into the equation to get y.
I used the internet to factory your equation f(x) and got
f(x) = 2(4x+3)(x-1)
x = -3/4 , 1
Substitute -1 into the equation to solve f(-1).
f(-1) = 8*(-1)^2 - 2*(-1) - 6 = 8 + 2 - 6 = 4
f(-1) = 4
Miriam’s study group received test scores of 96, 81, 82, 99, 94, 92, 95, 82, and 80. find the mean and median scores. the mean is . the median is .
The mean, median, and mode of the given data are 89, 92 and 82 respectively.
Measure of dispersionThe measures of dispersion that we have are the mean, median and the mode.
The mean is the average of the given data
Mean = Sum/sample size
Mean = 96+81+82+99+94+92+95+82+80/9
Mean = 801/9
Mean = 89
Determine the medianMedian is the middle value after rearrangement
80, 81, 82, 82), 92, (94, 95, 96, 99
Hence the medianof the data is 92
Calculate the modeMode is the number occuring the most. Since 82 occurs the most, hence the mode is 82
The mean, median, and mode of the given data are 89, 92 and 82 respectively.
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Answer:
89 and 92
Step-by-step explanation:
I really need help because i have been working in this problem for 30 MINUTES I also don't understand how to end this problem
Find the exact solution and an approximate solution to the nearest tenth
4√15/1+√3=1+√3/x
Solve using cross products
Solve the rational equation by combining expressions and isolating the variable
Exact Form:
[tex]x=\frac{(121\sqrt{3}-12\sqrt{15})(4\sqrt{15}+\sqrt{3}+1)}{27842}[/tex]Decimal Form:
[tex]x=0.10675865[/tex]PLEASE HELP ASAP
NEEP HELP
Answer:
x = 14
Step-by-step explanation:
We have alternate interior angles that are congruent.
[tex]5x + 5 = 4x + 19[/tex]
[tex]x = 14[/tex]
For a school lunch you can get a
hamburger, hot dog, or chicken sandwich.
To drink you can get a soft drink or a
milkshake. List all of the different lunches
consisting of 1 sandwich and 1 drink are
possible below and give the total number
of possibilities as well.
Answer: Ham and soft
Ham and milk shake
Hot dog and soft
Hot dog and milk shake
Chicken and soft
Chicken and milkshake
Total number of possiblities 3 × 2 = 6 or listed above
Step-by-step explanation:
Under his cell phone plan, Oliver pays a flat cost of $49 per month and $5 per gigabyte. He wants to keep his bill at $73.50 per month. How many gigabytes of data can he use while staying within his budget?
He must consume only 4.9 gigabytes to maintain his bill at $73.50 per month.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
According to the question,
Oliver pays a flat cost of $49 per month and $5 per gigabyte.
Let the number of gigabytes he consumes be x,
He wants to keep his bill at $73.50 per month. So,
49 + 5x = 73.50
5x = 73.50 - 49
x = 24.5/5
x = 4.9
He must not consume less or more than 4.9 gigabytes to maintain his bill at $73.50 per month.
Thus, he must consume only 4.9 gigabytes to maintain his bill at $73.50 per month.
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2. Select the two graphs with a negative slope.
Answer:
2nd one on the top row
last one on the bottom row
(left to right)
Step-by-step explanation:
the negative slopes are the lines that go down towards the right side
so that would be the second one on the top row and the last one on the bottow row
Use the right formula from the image to find the length of the segment with endpoints at (2, 7) and (8, -1). Show your work.
Answer: i believe the correct formula is A
Step-by-step explanation:
Find the sum. 5/2x + 4/3y
A. 9/2x + 3y
B. 15y + 8x/6xy
C. 23xy/6xy
D. 3/2xy
Answer:
B
Step-by-step explanation:
[tex]\dfrac{5}{2x} + \dfrac{4}{3y}=\dfrac{15y+8x}{6xy}[/tex]
Find the quotient of 2/5 and 4/5
Answer:
10/20 or 1/2
Step-by-step explanation:
Heres a picture to explain:
(2a-16)+(3a+18)=17 what is a?
Hope this is the right answer .