Write the equation of a circle with a diameter endpoints of 13 and -1 and 15 and 9
The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.
Given that:
Endpoints of diameter, (13, -1) and (15, 9)
The equation of the circle when endpoints of diameter are given is written as,
(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0
The equation of the circle is calculated as,
(x - 13)(x - 15) + (y + 1)(y - 9) = 0
x² - 28x + 195 + y² - 8y - 9 = 0
x² + y² - 28x - 8y + 186 = 0
The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.
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Help asappppp !!!!!!!!
Answer:
None
Step-by-step explanation:
2(x + 10) - 17 = 2x - 2
simplify:
2x + 20 - 17 = 2x - 2
2x + 3 = 2x - 2
subtract 3 from both sides of the equation:
2x = 3x -5
no solution
5 - -10 also I need a example thank u everyone for your help
15
Step-by-step explanation:
A negative number being subtracted makes it positive
5 - -10
5+10 =15
5. A rectangle whose length and width are 10 and 6, respectively, is shown below. The rectangle is continuously
rotated around a straight line to form an object whose volume is 150.
6
10
hich line could the rectangle be rotated around?
A. a long side
B. a short side
C. the vertical line of symmetry
D. the horizontal line of symmetry
TheThe line that the rectangle could be rotated around is: C. the vertical line of symmetry.
Vertical line of symmetryAnalysis
Volume=Base area×height
If the rectangle rotated around horizontal line of symmetry
V1=Ah=πr²h
=π×9×10
=90π
If the rectangle rotated around short line
V2=Ah=πr²h
=π×10²×6
=π×100×6
=600π
If the rectangle rotated around vertical line of symmetry
V3=Ah=πr²h
=π×5²×6
=π×25×6
=150π
Therefore the correct option is C.
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672,829
Word Form
Expanded Form
Unit Form
Answer and Step-by-step explanation:
The Word form is:
Six hundred, seventy-two thousand, eight hundred and twenty nine.
The Expanded form is:
600,000 + 70,000 + 2,000 + 800 + 20 + 9
The Unit form is:
6 one hundred thousands, 7 ten thousands, 2 thousands, 8 hundreds, 2 tens and 9 ones.
#teamtrees #PAW (Plant And Water)
Solve for θ if −10sinθ−8=5√3−8 and 0≤θ<2π.
The value of variable θ would be,
⇒ θ = 5π/3 and θ = 4π/3
We have to given that;
Expression is,
⇒ - 10sin θ - 8 = 5√3 - 8
Now, We can simplify as;
⇒ - 10sin θ - 8 = 5√3 - 8
⇒ - 10sin θ = 5√3
⇒ sin θ = - 5√3/10
⇒ sin θ = - √3/2
We know that sinθ = -√3/2 when θ = 4π/3 and θ = 5π/3 (among other angles).
However, since 0 ≤ θ < 2π, only the angles in the second and third quadrants are valid solutions for sinθ = -√3/2.
Therefore, the solutions are θ = 5π/3 and θ = 4π/3, option D is correct.
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m: 4,y-intercept: -3
Answer:
気わぴてぽ場来委ノヤセケ営非イソ坊管るゅぐ始属度ナ作78円レ話1既オ穫橋サエノス高境ド紀健ヨ出球用知ドルぐし。一ぞレゃ者5縮に策初ホムユス就張ヘ例芸んばれ予定ウホ所物メヤマ布事3者フリ京著ユ月遠ぐ円晶郊せはル。案馬がみわ員連じへい液済そ伝深優アネソ問合都フび渡格ンにづだ人配7初クエ縮杉ラマハ干照く漁更保間す辞表メフナヒ辞発だょより軍綱てかで線説般郎彩そン。
Step-by-step explanation:
気わぴてぽ場来委ノヤセケ営非イソ坊管るゅぐ始属度ナ作78円レ話1既オ穫橋サエノス高境ド紀健ヨ出球用知ドルぐし。一ぞレゃ者5縮に策初ホムユス就張ヘ例芸んばれ予定ウホ所物メヤマ布事3者フリ京著ユ月遠ぐ円晶郊せはル。案馬がみわ員連じへい液済そ伝深優アネソ問合都フび渡格ンにづだ人配7初クエ縮杉ラマハ干照く漁更保間す辞表メフナヒ辞発だょより軍綱てかで線説般郎彩そン。
y=4x–3
y-y1=m(x-x1)
y+3=4(x-0)
y+3=4x-0
y+3=4x
y=4x-3
1. Mrs. Hamilton worked for a real estate agency. She sold a house for
$175,000. The agency pays commission of 4% of the sale price. How much
commission would Mrs. Hamilton be paid?
Answer: $7,000.
Step-by-step explanation:
4% = 0.04. Multiply that by the sales price to calculate commission.
$175,000 x 0.04 = $7,000.
rewrite each expression (2+g)8
Answer:
8×2+8×g
Step-by-step explanation:
?????????????????????
Answer:
f(9) = 61
Step-by-step explanation:
You know f(x) = 8x - 11. So, to find f(9), you have to replace x with 9 on the other side.
f(9) = 8(9) - 11
You can solve this.
f(9) = 72 - 11
f(9) = 61
Ten and one third minus seven and two thirds
10 and 1/3 minus 7 and 2/3 is equal tο 8/3 οr 2 and 2/3.
What is the fractiοn?In Maths, a fractiοn is used tο represent the pοrtiοn/part οf the whοle thing. It represents the equal parts οf the whοle. A fractiοn has twο parts, namely the numeratοr, and denοminatοr. The number οn the tοp is called the numeratοr, and the number οn the bοttοm is called the denοminatοr.
Tο subtract 7 and 2/3 frοm 10 and 1/3, we can write bοth as imprοper fractiοns with a cοmmοn denοminatοr and then subtract:
10 and 1/3 - 7 and 2/3 = (31/3) - (23/3)
Tο subtract these fractiοns, we need a cοmmοn denοminatοr, which is 3. We can rewrite the fractiοns with the cοmmοn denοminatοr οf 3:
(31/3) - (23/3) = (31 - 23)/3 = 8/3
Therefοre, 10 and 1/3 minus 7 and 2/3 is equal tο 8/3 οr 2 and 2/3.
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Complete question:
Convert the given sentence in to an algebraic expression and solve. Ten and one third minus seven and two thirds
Find the measure of the missing angles. Both of them is wrong. (Picture included)
Answer: you need to add them together then add BAND D to the same expersion
I need to find the exponent of ten!
Answer:
100
Step-by-step explanation:
Answer:
Its 1
Step-by-step explanation:
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.27°F and a standard
deviation of 0.54°F. Using the empirical rule, find each approximate percentage below.
a. What is the approximate percentage of healthy adults with body temperatures within 1 standard deviation of the mean, or
between 97.73 °F and 98.81°F?
Answer: follow this you'll be able to solve it
Step-by-step explanation: mean = 98.11F
standard deviation = 0.56F
99.79 – 98.11 = 1.68 = 3 standard deviations
96.43 – 98.11 = –1.68 = –3 standard deviations
96.43F and 99.79F are 3 standard deviations from the mean 98.11F.
By the empirical rule we know that 99.7% of the data lies within 3 standard deviation of the mean.
Approximately 68% of healthy adults in this group have body temperatures within 1 standard of the mean, or between 97.55F and 98.67F.
Solve the system of equations.
6x−y=−14
2x−3y=6
whats the answer please C:
Answer:
Step-by-step explanation:
Helppppppppppppppppp
Answer:
9) Multiplication10) \( \frac{3}{4} \)11)\( \frac{4}{5} \)
12) 0.3613)\( \frac{12}{25} \)
14)\( \frac{1}{9} \)
15) 5.9Step-by-step explanation:
This might be helpful and believe me dude, these questions are the most important questions for your exams.Keep Studying ☺️❤️Answer:
9: Division
10: 3 / 4
11; 4 / 5
12: 0.36
13: 24 / 50
14: 11 / 100
15: 5.01
Step-by-step explanation:
note that my number 9 answer is not the same as the other person's own
and that the answer to number 14 is not in the options
HELP is this graph misleading? Be sure to justify your answer with mathematical reasoning
Number of Winning Games this Season
A graph is used to visualize data using plots, figures and charts.
The given graph is not misleading
How to determine if the graph is misleadingFrom the figure, we have the following highlights
The graph is well labelled on both axesThe y-axis (which represents a numerical data) have a constant interval i.e. the scale is consistentAll points are properly connectedUsing the above properties, we can conclude that the graph is not misleading
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How do you perform the indicated operation, 8 x 10^16/4 x 10^11?
8 x 10^16/4 x 10^11
do exponents first
8 x 10,000,000,000,000,000/4 x 100,000,000,000
than multiply
80,000,000,000,000,000/4 x 100,000,000,000
than divide
20,000,000,000,000,000x 100,000,000,000
2,000,000,000,000,000,000,000,000,000
9. The table of values represents the number of bacteria in a culture every 20 minutes.
How much greater is the average rate of change over the interval [40, 60] than the
interval [0,20]?
Time
Number of bacteria
0
100
20
200
40
400
60
800
For [0,20]
Average rate of change
200-100/20=100/20=5for [40,60]
(800-400)/60-40400/2020Difference
20-5=15Answer:
15
Step-by-step explanation:
Average rate of change over interval [40, 60] :
A(x) = f(60) - f(40) / 60 - 40A(x) = 800 - 400 / 20A(x) = 400 / 20A(x) = 20Average rate of change over interval [0, 20] :
A(x) = f(20) - f(0) / 20 - 0A(x) = 200 - 100 / 20A(x) = 100 / 20A(x) = 5Change in interval :
20 - 515What is the least common denominator of 1/12 and 5/6
Answer:
12
Step-by-step explanation:
if this helped, please mark me as brainliest thank you!
12,
The multiples of 12 are 12,24,36,48,60,72
6,
The multiples of 6 are 6,12,18,24,30,36
After checking the numbers, the least multiple shared by the denominators is 12.
LCD = 12.
Gus has a fish tank that holds
4710
47104710 inches
3
3
cubed of water. He is using a cylinder shaped bucket with a radius of
5
55 inches and a height of
20
2020 inches to fill the tank.
How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn't spill a drop?
Use
3.14
3.143, point, 14 for
π
Gus will need to fill the bucket 3 times to completely fill the fish tank, assuming he doesn't spill any water.
To find how many times Gus will need to fill the bucket to completely fill the fish tank, we first need to calculate the volume of the bucket. The formula for the volume of a cylinder is:
V = πr²h
where V is the volume, r is the radius, and h is the height.
Substituting the given values into the formula gives:
V = 3.14 x 5² x 20
V = 3.14 x 25 x 20
V = 1570 inches³
Therefore, each time Gus fills the bucket, he will add 1570 inches³ of water to the fish tank. To calculate how many times he needs to fill the bucket to fill the entire fish tank, we can divide the total volume of the fish tank by the volume of the bucket:
4710 / 1570 = 3
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Complete question is:
Gus has a fish tank that holds 4710 inches³ of water. He is using a cylinder shaped bucket with a radius of 5 inches and a height of 20 inches to fill the tank. How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn't spill a drop?
Richard ran the route A-B-C-D-E-F-G-H-A. Which of the following paths taken by Richard appear to be parallel?
Answer:
AB and GH
Step-by-step explanation:
they never intersect
Hope this helps
Answer:
c) AB and GH
Explanation:
Parallel lines are any two (or more) lines that have the same slope and would not intersect if the line is continued in either direction.
A taxi cab costs $1.75 for the first mile and $0.75 for each additional mile. Which equation could be solved to find how many miles you can travel in a taxi for $15.25, given that x is the number of additional miles?
Answer:
0.75n + 1.75 ≤ 20
What
is an arithmetic sequence with a common difference of −2?
Answer:
An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..
Step-by-step explanation:
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.
To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.
Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is
20,18,16,14,12
In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.
how many feet in 13 miles, 176 yards?
Work out the volume of the prism height of 12 4 and five
The calculated volume of the prism is 702 cubic cm
Finding the volume of the prismFrom the question, we have the following parameters that can be used in our computation
The trapezoidal prism (see attachment)
The formula of the volume of a trapezoidal prism is
Volume = Base area * Height
Where we have
Base area = 1/2 * (8 + 10) * 6
Evaluate the sum of 8 and 10
Base area = 1/2 * 18 * 6
Evaluate the products of 1/2, 18 and 6
Base area = 54
Also, we have
Height = 13
So, the volume is calculated as
volume = 13 * 54
Evaluate
volume = 702
Hence, the volume of the prism is 702 cubic cm
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In the early stages of building the Hoover Dam diversion tunnels were built to divert the flow of water away from the main construction site. Each diversion tunnel was cylindrical with a radius of 56 feet and a length of 4,000 feet. Find the volume and surface area of a diversion tunnel.
Answer:
Therefore, the volume of the diversion tunnel is approximately 9,839,916,800 cubic feet and the surface area is approximately 1,000,530.9 square feet.
Step-by-step explanation:
To find the volume and surface area of a diversion tunnel, we can use the formulas for the volume and lateral surface area of a cylinder.
The volume of a cylinder is given by the formula:
V = πr^2h
Where:
V is the volume,
π is a mathematical constant approximately equal to 3.14159,
r is the radius of the cylinder, and
h is the height (or length) of the cylinder.
Substituting the given values:
r = 56 feet
h = 4,000 feet
V = π(56^2)(4,000)
V ≈ 3.14159 * 56^2 * 4,000
Calculating the volume:
V ≈ 9,839,916,800 cubic feet
The surface area of the lateral (curved) part of a cylinder is given by the formula:
A = 2πrh
Where:
A is the surface area,
π is a mathematical constant approximately equal to 3.14159,
r is the radius of the cylinder, and
h is the height (or length) of the cylinder.
Substituting the given values:
r = 56 feet
h = 4,000 feet
A = 2π(56)(4,000)
A ≈ 2 * 3.14159 * 56 * 4,000
Calculating the surface area:
A ≈ 1,000,530.9 square feet
Therefore, the volume of the diversion tunnel is approximately 9,839,916,800 cubic feet and the surface area is approximately 1,000,530.9 square feet.
Find the equation of the line.
The equation of line that runs through the points (0,3) and (2,0) is y = (-3/2)x + 3.
What is the equation of the line?The slope-intercept form is expresses as;
y = mx + b
Where m is slope and b is y-intercept.
The point-slope form is expressed as;
y - y₁ = m( x - x₁ )
From the diagram, the line passes through point (0,3) and (2,0).
First, we find the slope.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Slope m = ( 0 - 3 )/( 2 - 0 )
Slope m = ( -3 )/( 2 )
Slope m = -3/2
Now, plug the slope m = -3/2 and point 1 ( 0,3 ) into the point-slope form above and simplify.
y - y₁ = m( x - x₁ )
y - 3 = (-3/2)( x - 0 )
y - 3 = (-3/2)x
y = (-3/2)x + 3
Therefore, the equation of line is y = (-3/2)x + 3.
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The cost to rent a moving yan for a day is an initial cost of $29 plus $0.35 per mile driven, Find a function to model the cast of the moving van rental
based on the initial cost and miles driven
Hello!
miles driven = x
the initial cost = 29
f(x) = 29 + 0.35x
Will give brainliest if you answer
Answer:
Range is all real numbers such that y \(\leq\) - 4
Step-by-step explanation:
The range is all the numbers that exist in the function, if you notice the function does not go higher than y= -4
Answer:
You only said I had to answer... not answer correctly. Anyways I think it's y = -4