The third ordered pair that satisfies the equation of the circle is (123, 369).
The given parameters;
[tex]a^2 + b^2 = 10(123)^2[/tex]First pair of the equation, = (39, 387)Second pair of the equation = (201, 333)The third ordered pair of the equation can be determined by using general equation of a circle;
[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]
The radius of the circle is calculated as;
[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]
The value of a can be obtained by randomly choosing numbers less than the radius as values of b.
[tex]b < r\\\\b < 388.96[/tex]
[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]
Thus, the third ordered pair that satisfies the equation of the circle is (123, 369).
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Question 6
You have been asked to set up chairs for the school concert.
The first row will have 10 seats, and each additional row has 4
seats more than the previous row. /(10 pts)
What is the total number of chairs needed to set up 25 rows?
Answer:
1500
Step-by-step explanation:
we can do simple triangle numbers to do this. 4 more seats per row. we take 10 which is the first row and add the last row which 110 because 4*25 rows is 100 more. now we can half the rows to 12.5 and multiply that by the 120 and we get 1500 and we are done
simply the problem pls answer quick
[tex]\\ \sf\Rrightarrow 1\dfrac{2}{5}m-\dfrac{3}{5}(\dfrac{2}{3}m+1)[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{7}{5}m-\dfrac{3}{5}(\dfrac{2m+3}{3})[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{7m}{5}-\dfrac{6m+9}{15}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{21m-6m-9}{15}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{15m-9}{15}[/tex]
[tex]\\ \sf\Rrightarrow m-\dfrac{3}{5}[/tex]
The simplified form of the expression is m - 3/5
Given the expression 1 2/5 m - 3/5 (2/5m + 1)
We need to simplify the term. Expand the bracket to have:
1 2/5 m - 3/5 (2/3m + 1)
1 2/5 m -2/5 m - 3/5
7/5 m - 2/5 m - 3/5
(7m-2m)/5 - 3/5
5m/5 - 3/5
m - 3/5
Hence the simplified form of the expression is m - 3/5
Learn more on expansion here: https://brainly.com/question/13800206
What is the value of the expression
Answer:
Step-by-step explanation:
2 1/2
What is the radical form of the expression 4 3/2?
Answer:
[tex]\sqrt{4^{3} }[/tex]
Step-by-step explanation:
4 to the power of 3/2 is the same thing as [tex]\sqrt{4^{3} }[/tex]
since the numerator (3) represents the exponent, and the denominator (2) is the root
think of it like this: [tex]4^{2}[/tex] is (4x4) and [tex]4^{1}[/tex] is just 4 and so [tex]4^{\frac{1}{2} }[/tex] is 2 since it is the inverse of [tex]4^{2}[/tex] and the inverse of a power is a root, so the denominator always is the root and the numerator is the power
Windstrong has an elevation of -28.7 feet, and Kennington has an elevation of 28.7 feet. Which of the following is true?
A.
Windstrong's elevation < Kennington's elevation
B.
Windstrong's elevation = Kennington's elevation
C.
Windstrong's elevation > Kennington's elevation
Answer:
b
Step-by-step explanation:
In the typing World 120 words in 3 minutes is average how many words could they type in 2 hours
Answer:
7,200 words
Step-by-step explanation:
Answer: 4,800
I multiplied 120 by 20 because 60 divided by 3 is 20. Then I multiplied my answer by 2 because the question is asking how many words could they type in 2 hours
What is 20% of 130.8?
Answer:
26.16
Step-by-step explanation:
Answer:
26.16
Step-by-step explanation:
20 percent of 130.8
= (20/100)*130.8
= (20*130.8)/100
= 2616/100 = 26.16
Use the distributive property to multiply 4,345 x 2
Answer:
8690
Step-by-step explanation:
there is no distributive property just multiply using a regular calculator
If a line crosses the y-axis at (0, -3), what is the y-intercept?
Answer:
Isnt it -3?
Step-by-step explanation:
How many roots will the function f(x)= -3x³ - x² + 7x + 6 have?
Answer:
It will have 3 roots
The number of roots in an equation equals the highest power of that equation.
Step-by-step explanation:
Find the sum of 12.351 and 0.5362
Find the sum of 12.351 and 0.5362
Answer:-12.351 + 0.5362 = 12.8872
Components inside a computer such as CPU and motherboard are all examples of _____. software hardware
Answer:
it's hardware.
.
hope I helped!
If 20 students have only airpods,
10 students only have beats, and 30
students have beats in total how
many students have both beats and
airpods?
Answer:
There should be 20 students that have both Beats and AirPods.
Step-by-step explanation:
There are 50 students in total.
20 students have only AirPods and 30 students have Beats. Out of the 30 who own Beats, there are 10 students that have ONLY Beats.
30 - 10 = 20.
It's a tricky question, but this is the correct answer!
Hope This Helps!
What is this in simplest form?
PLZ HELP ME WITH MY MATH HOMEWORK!!! SHOW WORK!!!
Explanation:
(I). 5/6 (4X+8) = (3/8) X - (1/4)
→ [{5(4X) + 5(8)}/6] = (3/8)X - (1/4)
→ [{20X + 40}/6] = (3/8)X - (1/4)
→ [{(20X/6) + (40/6) = (3/7)X - (1/4)
Now,
shift all variables fraction on LHS and constant fraction on RHS.
→ [(20X/6) - (3X/7)]= -(1/4) - (40/6)
Take the LCM of LHS denominator of 6&7 is 42.
→ [(140X - 18X)/42] = -(1/4)-(40/6)
→ [(122X)/42] = -(1/4)-(40/6)
Again take the LCM of the denominator in RHS i.e 4&6 is 12.
→ [(122X)/42] = (-12 - 80)/4
→ [(122X)/42] = (-92)/4
By doing Cross multiply the fraction, we get
→ 4(122X) = 42(-92)
→ 488X = -3 864
→ X = -3 864÷488
Therefore, X = -3864/488
Answer: Hence, the value of X for the given problem is -3864:488.
Explanation:
ii)Given algebraic equation is: 5(3p-5)+4p=5p-6(p+4)
→ 15p - 25 + 4p = 5p - 6p + 24
Shift all variables in LHS and constant on RHS.
→ 15p + 4p +6p = 25+24
→ 19p + 6p = 49
→ 25p = 49
Shift the number 25 from LHS to RHS.
Therefore, p = 49/25.
Answer: Hence, the value of P for the given algebraic equation is 49/25.
Write the expression:
the sum of a number and it's opposite
Answer:
0
Step-by-step explanation:
-5 5
<-+-+-+-+-+-+l-+-+-+-+-+->
l 0 l
<-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+->
-8 -7 -6 -5 -4 3 -2 -1 0 1 2 3 4 5 6 7 8
graph l. (l points down). Thanks!
Answer:
the sum of a number and it's opposite= x - (x)
Step-by-step explanation:
The opposite number of 2 would be -2. The opposite number of 4 would be -4 and vice versa.
Because the oppposite number is just a number that is the opposite operation of something, finding the sum of a number and it's opposite will always make the sum 0.
13/83.2, I have the answer but not the work
Answer:
6.4 is the correct answer
Find all solutions of cos()=−1/2 on the interval [−
Answer:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10!!
Step-by-step explanation:
How can you simplify this expression?
Answer:
add the exponents
Step-by-step explanation:
1) write the measurement 4009 mm into the place value table below
a) what is 4009 mm in cm
b) what is 4009 mm in m
2) how many millimeters is 6 liters
Answer:
a)400.9 cm
b)4.009 m
c) 181.71 mm
Step-by-step explanation:
a) First know that when you move from cm to mm you multiply by 10 and when you move from mm to cm you divide by 10 because 1mm= 0.1 cm
so 4009mm/10 = 400.9cm
b) when you move from m to mm you multiply by 1000 but when you move from mm to m you divide by 1000 ,so 4009/1000 = 4.009
c) 1litre= 1000000mm³
6litre= x
xlitre= 6000000 litre mm³
divide by litre
x= 6000000 mm³
but according to the question we are not looking for cubic mm but mm the fore remove cubic by insterting cube root
x= 181.71 mm
: . c)181.71 mm
which is greater?
1.4 or 1.41421356237
Answer:
1.41421356237
Step-by-step explanation:
After every decimal place value, or decimal point, there are infinite rows of invisible 0's
In 1.4, there are countless invisible 0's, which would look like this
1.40000000000000000...
Same for 1.41421356237
1.4142135623700000000...
So now, you can compare and see that 1.41421356237 has a 1 in the hundredths place, while 1.4 has a 0 in the hundredths place
Thus, 1.41421356237 is greater than 1.4
100 points please help will give brainliest
Answer:
The two angles ADB and BDC are congruent since they are both right angles.
The segment AD and CD are congruent since D is the midpoint of AC.
Segment BD is in common for the two triangles.
The triangles ABD and BCD are congruent by SAS. In particular, Angle A is congruent to angle C (they are opposite to congruent sides), QED
6x−36x2/ 6x simplified
Answer:
1x-72
Step-by-step explanation:
-36x2= -72
6x-72/6x
6x/6x=1x
1x-72
i need help with this pleaseeeeeeee
Answer:
BEF
Step-by-step explanation:
Yeah-ya.............. right?
Answer:
TAY I THINK ITS TAY C PART TAY
at euclid school, there are 14 female teachers and 11 male teachers, what fraction of the teachers are male
✍ Question:
at euclid school, there are 14 female teachers and 11 male teachers, what fraction of the teachers are male
✍ Answer:>> The total number of teachers in school would be
14 + 11 = 25>> Thus, the fraction of male teachers in school would be;
11/25#CarryOnLearning
- Happy Holidays! -
The required fraction of male teachers in teachers is 11/25.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Total number of teachers = female + male
= 14 + 11 = 25 teachers
Fraction of male teachers = male teachers / teachers = 11 / 25
Thus, the required fraction of male teachers in teachers is 11/25.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ2
You need to graph the linear function plz help hurry
Step-by-step explanation:
I'll try to get this out as as quickly as I can! In this scenario, we have a function m(x). We can also view m(x) as y to make everything easier to understand. It is said that m(x) = 1, which can also be interpreted as for whatever value x may be, the y value is 1. Whether x is -9, 0, 3, 1, or 2/3, the y-value will be 1. The table can be filled out with as many x-values as needed, with corresponding 1's for each.
Next, we have to graph. Try to visualize what this graph might look like. For whatever x-value given, the y-value will be 1. Our graph will have to be a horizontal line through the y-value (0, 1). This represents that for whatever x-value, the y-value will be 1.
Hopefully that's helpful! :)
6. What is the value of the underlined digits?
504,405,623
Math
Answer:
Which one is underlined?
Step-by-step explanation:
the frist 5 is in the 100 millionth place
the frist 0 is in the 10 millionth place
the frist 4 is in the 1 millionth place
the second 4 is in the 100 thousand place
the second 0 is in the 10 thousand place
the second 5 is in the 1 thousand place
the 6 is in the 100s place
the 2 is in the 10s place
and the 3 is in the 1s place
What is the greatest common factor of 12 and 18?
A. 2 B. 6 C. 4 D. 12
Answer:
B. 6
Step-by-step explanation:
D. 12 cant be multiplied to get 18
C. 4 cant be multiplied to get 18
A. 2 is a common factor of 12 and 18 but not the greatest.
B. 6 times 2 is 12 and 6 times 3 is 18 so 6 is the greatest common factor.
Answer:
B
Step-by-step explanation:
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 18: 1, 2, 3, 6, 9, 18
The common ones are 1, 2, 3, and 6. The greatest one among these is 6.
Factors are numbers you multiply with another natural number to get another number. For example, the factors of 16 will be all the numbers that can be multiplied with an integer to get 16. 1* 16 is 16, so 1 will work. 2 *8 is 16, so 2 will work. But, 3 * 16/3 is 16 so 3 won't work. You get the point. Hope this helps and pls give brainliset.
Help!!!! Need this asap!!!
Answer:
the graph is in link
Step-by-step explanation:
y ..... means full line and shading above the line
Y< ......means doted line and shading below the line
A) solution is overlapping shaded part
B) (10,5)
plug in point in inequalities and check if it's true; if it's true you showed that solution is correct
1. 5-1/2*10 + 2 1/2
5 -5 + 2 1/2
5 -2 1/2 TRUE
2. 51/5*10 + 6
5< 2 + 6
5< 8 TRUE
{x|x is an odd integer between -3 and 7}
Answer:
x={-1,1,3,5}
Step-by-step explanation:
x={-1,1,3,5}