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Related Questions
8 A circle passes through the points (0, 2) and (0,8) and its centre lies on the line
x=4.
Draw a sketch and find the equation of the circle.
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Step-by-step explanation:
A circle that passes through point 0,2 and (0,8) and has a center that lies on x=4 is what given.
So we know is center (4,p) for some number p,
Since the points on circumference of the circle have the same x value, then we know that the y coordinate of the center must be the midpoint of the circumferences' y coordinates.
Why?
A circle is not a function since it doesn't pass the vertical line test. And the standard form of a circle is
[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]
With center (0,0).
Consider the equation
[tex] {x}^{2} + {y}^{2} = 9[/tex]
The radius is 3 so two points with x coordinate 0 is
(0,3) and (0,-3). And the midpoint of them is (0,0) which is the center. Which is the defining trait of all circles.
Now, back on hand, our the midpoint of 2 and 8 is 5 so our center is
(4,5).
Now, we must find the radius. We use distance formula.
For (4,5) and (0,8).
[tex]d = \sqrt{(8 - 5) {}^{2} + ({0 - 4) {}^{2} } } [/tex]
[tex]d = \sqrt{3 {}^{2} + {4}^{2} } [/tex]
[tex]d = \sqrt{25} [/tex]
[tex]d = 5[/tex]
So our radius is 5.
So now we use the equation of center h,k.
[tex](x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]
H is 4
K is 5
[tex](x - 4) {}^{2} + (y - 5) {}^{2} = 25[/tex]
Above is sketch of graph.
What is the solution to the system of equations below?
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Answer:
(9,3)
Step-by-step explanation:
Answer:
x=9,y=3
Step-by-step explanation:
Anyone know how to solve this. I got 4 but wasn’t correct
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Answer:
12
Step-by-step explanation:
Please help FACTORING POLYNOMIALS USING GCF like can you at least explain how to
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Answer:
HOW TO:
GIVEN A POLYNOMIAL EXPRESSION, FACTOR OUT THE GREATEST COMMON FACTOR.
Identify the GCF of the coefficients.Identify the GCF of the variables.Combine to find the GCF of the expression.Determine what the GCF needs to be multiplied by to obtain each term in the expression.Write the factored expression as the product of the GCF and the sum of the terms we need to multiply by.The Stewart family is building a circular swimming pool. If the radius of the pool is 10 feet, What is its circumference?
Use π = 3.14 to solve.
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Answer:
62.83
Step-by-step explanation:
C=2πr=2·π·10≈62.83185ft
=
Гу
Which function represents g(x), a reflection of f(x) = {
(3) across the y-axis?
90
f
4
2
1
O g(x) = 2(3)
O g(x) = -2(3x
o g(x) = {(3*
O g(x) = 2(3)*
-2
-3
Next
Submit
Mark this and return
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Answer:
4th answer I believe
hope this helps
Fiona recorded the number of miles she biked each day last week as shown below. 4, 7, 4, 10, 5 The mean is given by m = 6. Which equation shows the variance for the number of miles Fiona biked last week? s squared = StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 6 EndFraction Sigma = StartRoot StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 5 EndFraction EndRoot s = StartRoot StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 4 EndFraction EndRoot Sigma squared = StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 5 EndFraction.
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Variance is average of squared error of observations from mean. The variance of given data is 5.2
How to calculate variance of a given data set?Variance is average of squared error of observations from mean.
If the data set is composed of n elements,its ith element is [tex]x_i[/tex] , and mean of the data set is [tex]\overline{x}[/tex] ,then its variance is given as:
[tex]\sigma^2 = \dfrac{1}{n} \sum_{i=1}^n(x_i-\overline{x})^2[/tex]
The given data set is 4,7,4,10,5
Thus, n = 5 (total 5 observations (data values) )
Their mean is [tex]\overline{x} = 6[/tex] (it is taken as 'm', but for ease with formula, take it as [tex]\overline{x}[/tex] )
Thus, their variance is calculated as:
[tex]\sigma^2 = \dfrac{1}{n} \sum_{i=1}^n(x_i-\overline{x})^2 \\\\\sigma^2 = \dfrac{(4-6)^2 + (7-6)^2 + (4-6)^2 + (10-6)^2 +(5 - 6)^2}{5} \\\\\sigma^2 = \dfrac{4 + 1 + 4 + 16 + 1}{5} = \dfrac{26}{5} = 5.2[/tex]
Thus,
The variance of given data is 5.2
Learn more about variance here:
https://brainly.com/question/3699980
Answer:
d
Step-by-step explanation:
PLEASE ANSWER FOR MY SISTER
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Answer:
3/5 < 3/3
Step-by-step explanation:
3/3 = 1 whole (1)
3/5 = 0.6
your friend solved the equation 4x+24-2=7(4x+2) and got x=16. what error did your friend make? what is the correct solution?
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Answer:
the correct answer is 3
Step-by-step explanation:
4x+24-2=7(4x+2)
4x+22=7*4x+2*7
4x+22=28x+14
4x-28x=14-22
-24x=-8
24x=8
x=3
KINDA NEED THE ANSWERS ASAP: In the linear function f(x)=-x+1, is the function increasing, decreasing or constant?
Tommorow in Orlando, Florida, the temp. will drop by 3 degrees every hour for the next 10 hours. If it is currently 75 degrees, what temp. will it be after 5 hours from now?
what is the y intercept of the standard form of the linear equation 2y+4x=8?
what is the rate of change in the standard linear form of the equation 3y+6x=12?
If you save $5 each week and you add it to your starting savings of $10, how many weeks do you have to save in order to reach $100?
A pool is filled with 4000 gallons of water. you can drainbthe pool at 100 gallons per hour. how long before the pool is empty?
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Answer:
down below
Step-by-step explanation:
1) when x is increasing, the function is decreasing
2)
The wording is a bit weird and I think the "for the next 10 hours." is extra infomation. so 3*5=15 degress dropped. 75-15=60
3) when it is the y intercept, x is equal to 0
2y=8
x=4
(0,4) is the y-intercept
4)
divide the equation by 3
y+2x=2
so the points are like (0,4), (1,2), (2,0)
You could figure out the rate of change
5)1
0+5x=100
5x=90
x=18
18 weeks
btw x are weeks
6)
4000/100=40 hours.
Finding Conterminal Angels:
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Answer:
106°
Explanation:
(360*3) -974 = 106°
Endless extra value's:
Positive coterminal angles: 106°, 466°, 826°, 1186°, 1546°...
Negative coterminal angles: -254°, -614°, -974°, -1334°...
But here the range is only from 0° ≤ ∅ < 360°, so only 106° is applicable.
Simplify to a single power of 6:
Answers
Answer:
6^2
Step-by-step explanation:
When they are divided, just subtract the exponents. 5 - 3 = 2
Write the equation in Slope-Intercept form of the line that goes through the point
(3, 12) and has a Slope of 5.
Could someone help me with this please
Answers
Answer:
y = 5x + 12
Step-by-step explanation:
How much would it cost for Mr. John to replace the tile in his kitchen if the cost for the tile is $1.50 per square foot? (Think about what shape the kitchen is to find the area of it)
Answers
Answer:
214.50
Step-by-step explanation:
A = lw
13 x 11 = 143 (13 is a guess)
143 x 1.50 = 214.50
im not 100 % but give it a try
hope this helps
pls mark brainliest
Divide using long division
pls show work
4x^3+8x^2-9x+18/2x+3
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there you go the steps and then the solution
A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. The rest is blueberry juice. How much of each ingredient will be necessary to make the smoothies?
I NEED A STEP BY STEP
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2.7 is the amount of blueberry juice used for one 8 ounce fruit smoothies so to get ten of them you multiply by 10
So 2.7x10=27 ounces of blueberry juice
1.3x10=13 ounces of banana flavoring
4x10=40 ounces of soy milk
Hope that helped
Find the value of ‘k’ if x+1 is a factor of the polynomial
2 − √2 + 1
Answers
Answer:
[tex]3-\sqrt{2[/tex]
Step-by-step explanation:
If a local coffee shop serves 12 customers in 36 minutes, how fast does it serve its customers?
A. 1 minute per customer
B. 2 minutes per customer
C. 3 minutes per customer
D. 2.5 minutes per customer
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Explanation: Divide the 36 minutes by 12 customers served. This gives you 3 minutes spent on each customer.
The equation for the pH of a substance is pH = –log[H ], where H is the concentration of hydrogen ions. Which equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7. 2?.
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Equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7.2 is,
[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]
What is pH value?The pH value is the measurement of the water, as it is acidic or basic in nature and amount of it. If the value of pH value is more than 7, the water is basic in nature and if less than 7, the water is acidic.
Given information-
The equation for the pH of a substance is,
[tex]pH = -\log[H^+ ],[/tex]
Here, [tex]H[/tex]hydrogen ions.
The pH value of the solution is 7.2.
The pH value of the solution is given, and the concentration of hydrogen ions has to be find out (in equation model form).
The given equation for pH of the substance is,
[tex]pH = -\log[H^+ ],[/tex]
It can be written as,
[tex]-pH = \log[H^+ ],[/tex]
The pH value of the solution is 7.2. Put the value as,
[tex]-7.2 = \log[H^+ ][/tex]
Rewrite the above equation as,
[tex]\log[H^+ ]=-7.2[/tex]
Using the log property the, above equation can be written as,
[tex][H^+ ]=10^{-7.2}[/tex]
Solve it further as,
[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]
[tex][H^+ ]=6.3095\times10^{-8}[/tex]
Thus, equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7.2 is,
[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]
Learn more about the pH value here;
https://brainly.com/question/1810086
Pleaseee help me solve this and show work
Answers
Answer:
x
Step-by-step explanation:
The greatest common factor is x. This is the biggest term that each term can be divided by.
Someone, please help
and instead of 10yd its 30yd
and instead of 20yd its 60yd
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Factor each expression. 81y + 54
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your answer is....
27(3y+2)
John is planning for retirement and wants to have an interest income of $3000 a year. How much Must he invest for one year at 8% interest
Answers
Answer:
240
Step-by-step explanation:
All of the following are equivalent, except _____.
2 x + x
x(2 + 1)
3 x
2 x²
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All the others sum to 3x
Can’t get an x^2 as you are only expanding and/or collecting like terms.
Please help! Explain the best you can! :) Thanks!
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Answer:
55°
Step-by-step explanation:
x+x-20=90[Complementary angle]
or, 2x-20=90
or, 2x=90+20
or, 2x=110
or, x=110/2
x=55°
Which 2 numbers have a mean of 10 and a range of 4?
Answers
Answer:
12 and 8
Step-by-step explanation:
basic knowledge of math i guess
hope that helps love
please help with a full explanation at the bottom i’ll mark brainliest
Answers
Answer:
240 employees or A
Step-by-step explanation:
12 employees : 2 instructors
or 6:1
so there are 40 instructor
so 6*40 equals 240 employees
a boy standing on a vertical cliff, 50m high is looking down an angle of depression of 20° at a car. How far is the car from the base from the cliff?
Can someone please help me, it's due in 30 mins
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Answer:
explanation is in the diagram
Which model represents this word problem?
Pablo read 7 pages of his book. There are 13 pages left. How many total pages are in his book?
HELPP IM TRYING TO HELP MY FRIEND !! :((((
i think its the first one but im scared to hit it
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it is the first one
Step-by-step explanation:
because I used my brain and its correct
Answer:
the first one is correct i believe
proportions in similar triangles. need help
Answers
Answer:
x = 6
Step-by-step explanation:
The angle bisector divides the triangle sides proportionally:
(6x -1)/42 = (10x +5)/78
13(6x -1) = 7(10x +5) . . . . multiply by 546 (the LCM of 42 and 78)
78x -13 = 70x +35 . . . . . eliminate parentheses
8x = 48 . . . . . . . . . . . . . . add 13-70x
x = 6 . . . . . . . . . . . divide by 8
_____
Additional comment
The unknown segment lengths are ...
6·6 -1 = 35
10·6 +5 = 65
Then the ratios to the known sides are ...
35/42 = 65/78 = 5/6