The third ordered pair that satisfy the given equation 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 satisfy the given equation is (123, 369).
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15. Kate plays a card game with two friends. She gives 5 cards to each player. Ten plus what number is equal to the total number of cards Kate gives out? Write an equation to show and solve the problem.
Answer:
i believe it would be 0
Step-by-step explanation:
2*5 = x
2*5 = 10
x = 10
10 + y = x
10 + y = 10
-10 -10
-----------------
y = 0
the number is 0
hope this helps! :D
have a miraculous day!! <3
Functions fg and hare shown on the graph. Y 10- 8 6 h 4- 2- x 10 -6 -4 - 2 2. 4 6 8 -10 -8 10 2- 4 -6 00 8- -10 Which of these functions have a domain of all real numbers? ОА. function fonly OB. functions f, g, and h oc functions fand gonly . OD functions g and h only
All the function graphed have domain of all real numbers.
What is Function?A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.
The domain of a function is defined by the graph's x-values (input values).
Similarly, Range is defined by the set of y-values (output values) in the function's graph.
Now, From the graph attached,
Domain of function 'f' : {x | x ∈ R}
Domain of function 'g' : {x | x ∈ R}
Domain of function 'h' : {x | x ∈ R}
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( 4 1 + 4 5 ) ^ 2 + 4 3 =
Answer: 7,439
Step-by-step explanation:
(86)^2 + 43
7396 + 43 = 7,439
I'm pretty sure that the other user has the same answer. (godlike74)
Rate of change for y=5x+30
Answer:
5
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
Solve the proportion. x/6 = 20/24
X/6 = 20/24
Cross multiply:
24x = 120
Divide both sides by 24
X = 5
Answer: x = 5
PLS HELP!!!!! What are the zeros of polynomial function [tex]F(x) = x^4 - 10x^2 + 16[/tex]
Answer:
(-√8, 0), (-√2, 0), (√2, 0), (√8, 0)
Step-by-step explanation:
Find the missing number in this proportion.
7 =2/4
Answer:
So in between the 2 and the / there is an 8
Step-by-step explanation:
Because 28/4=7
Find the slope of the line that passes through (28, -25) and (27, 25).
Slope is the change in Y over the change in X:
Slope = (25- -25) / (27 - 28)
Slope = 50/-1
Slope = -50
Which sentence is punctuated correctly? Finally Juno, and her satellite were able to return home to her family. Finally Juno and her satellite were able to return home to her family. Finally Juno and her satellite, were able to return home to her family. Finally, Juno and her satellite were able to return home to her family.
Answer:
Finally, Juno and her satellite were able to return home to her family.
Step-by-step explanation:
Answer:
Finally, Juno and her satellite were able to return home to her family
Step-by-step explanation:
help please asappppppppp
Answer:
First Equation: 6a-23
Second Equation: 5a-20
Step-by-step explanation:
So, I think you want me to answer part 2...
For the first equation, we can see that the denominator stays the exact same, meaning the numerator will also not change.
For the second equation, we can see the denominator changed from a-3 to 5a-15. The denominator was simply multiplied by 5. Since the denominator was multiplied by five we must multiply the numerator by five as well.
5(a-4)
5a-20
Hope this helps :)
what is solve 10<-2/3(9+12b)
Are 3:5and 1:2 equivalent
Answer:
No. They are not equivalent.
Step-by-step explanation:
[tex]\frac{3}{5} \neq \frac{1}{2}[/tex]
=> [tex]\frac{6}{10} \neq \frac{5}{10}[/tex]
Therefore, 3/5 and 1/2 are not equivalent.
Hoped this helped.
Answer:
yes
Step-by-step explanation:
they are equivalent
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.
Writing a ratlo as a percentage
Manuel has ridden 8 miles of a bike course. The course is 20 miles long. What percentage of the course has Manuel ridden so far?
0
se
%
X 5
?
log(3+√5) + log(3 - √5) = ?
Given that
log (3+√5) + log (3-√5)
We know that
log ab = log a + log b
⇛log [(3+√5)(3-√5)]
This is in the form of (a+b)(a-b)
Where a = 3 and b = √5
We know that
(a+b)(a-b) = a²-b²
⇛log [(3)²-(√5)²]
⇛log(9-5)
⇛log 4
Answer :- log (3+√5) + log (3-√5) = log 4
also read similar questions: log(5) + log(3) rewrite the following in the form log(c)....
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witch of the following expression is equivalent to the logarithmic expression below. log(3)5/x^2 A)log(3) 5+2 log(3)x B)log(3) 5-2 log(3)x C)2 log(3) 5 -log(3)x...
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Fred bought a shirt that
was on sale. The original
price was $15.75, but it was
20% off. How much did
Fred save?
Answer:
Fred save about 3.15$ because is 20% off
WILL GIVE BRAINLIEST!
Answer:
425
Step-by-step explanation:
225/24 then multiply the answer by 40
whats -6-10k if k=-1
Answer:
The answer would be 4
Step-by-step explanation:
Calculate it
Answer:
4 is the answer.
Step-by-step explanation:
-6 - 10k
=> -6 - 10(-1)
=> -6 + 10
=> 4
Therefore, 4 is the answer.
Hoped this helped.
Need help with Pre college
Answer:
check online for more information
CAN SOMEONE HELP ME PLS?
Answer:
√13
Step-by-step explanation:
1/33 is a fraction, meaning it is rational
1.6... has a repiton, meaning it is rational
-5.43 is a integer meaning it is rational
316=5
459=6
248=4
739=?
Answe
i think it's 9
Step-by-step explanation:
316 fỉst number is 3 +2 =5
459 first number is 4+2=6
2+2=4
7+2=9:)))
Please help me it's due in 5 minutes!! I will give brainliest!
Answer:
[tex]110 + 11w[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]11(10 + w)[/tex]
[tex](11 * 10) + (11 * w)[/tex]
[tex]110 + 11w[/tex]
Answer: [tex]110 + 11w[/tex]
3x+y=5
2x-y=0
Plsss help i need step by step plsss 9th grade
Answer:
x = 1
y = 2
Step-by-step explanation:
3x + y = 5
y = 5 - 3x
-----
2x - (5 - 3x) = 0
2x + 3x - 5 = 0
5x - 5 = 0
5x = 5
x = 1
-----
3(1) + y = 5
3 + y = 5
y = 2
Step-by-step explanation:
1. you add 3x to the other side to get y=-3x+5
2. then for the other equation you subtract 2x to the other side to get -1y=2x
3.then you divide by -1 to get y=2x
y=-3x+5 and y=2x
Which expression is equal to the expression below?
(2• 6)4
Answer:
2 × 6 × 4
Step-by-step explanation:
This can also be written like this.
Caitlin has a cookie recipe that requires 1.25 pounds of sugar how many grams of sugar does she need
Answer:
For this answer, you need to do a conversion from pounds to grams. 1 pound is equal to 453.592 or just 453.6 grams if rounding is allowed. You would need to multiply 1.25 pounds to the 453.6 grams which would equal 566.99 grams or if you are rounding then it is 567 grams.
Your final answer is 567 grams of sugar.
Evaluate the expression for the given values.
12x+5y/3z, where x + 1/2, y = 6 and z = 3
Answer:
4
Step-by-step explanation:
Substitute: [tex]\frac{\frac{12}{2} +5*6}{3*3}[/tex]
Cross out the common factor: [tex]\frac{6+5*6}{3*3}[/tex]
Calculate the product or quotient: [tex]\frac{6 +30}{3*3}[/tex]
Calculate the product or quotient: [tex]\frac{6+30}{9}[/tex]
Calculate the sum or difference: [tex]\frac{36}{9}[/tex]
Cross out the common factor: [tex]4[/tex]
Answer: [tex]4[/tex]
A dump truck is filled with 82.16 pounds of gravel. It drops off 77.29 pounds of gravel at a construction site. How much gravel is left on the truck?
Answer:
4.87lbs
Step-by-step explanation:
82.16-77.29=4.87
Astudent built a scale model of his house using a scale in which 3 inches represents 15 feet.The height of his real house is 45 feet.What is the height of the scale model in inches?
NEED HELP ASAP
Answer:
9 inches
Step-by-step explanation:
In 7 hours, Deandre reads 42 chapters of a book.
What is his rate in chapters per hour?
Answer:
6 chapters per hour
Step-by-step explanation:
[tex]\frac{42 (chapters)}{7 (hours)} =6[/tex]
Hope this helps
Of the 50 students in cooking club, 30% are in 7th grade. How many actual students are in 7th grade?
Answer:
15 of them are in 7th grade
Step-by-step explanation:
