Which of the following points lies on the circle whose center is at the origin and whose radius is 10?(-6, 4)
(square root of 10, square root of 10)
(6, -8)
Answers
(x-h)^2+(y-k)^2=r^2
r=10
(0,0) is center
(x-0)^2+(y+0)^2=10^2
x^2+y^2=100
test them
(-6,4)
x=-6 and y=4
36+16=42, not 100
not on it
sqrt 10 and sqrt10
10+10=20, not 100
(6,-8)
36+64=100
correct
answer is (6,-8)
HE IS CORRECT!
THE ANSWER IS (6,-8)!!
BRUHHHHHHHHHHHHHHH!!!
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Answers
Answer:
(10, - 1 )
Step-by-step explanation:
Given the 2 equations
x - 3y = 13 → (1)
x + 2y = 8 → (2)
Rearrange (1) making x the subject by adding 3y to both sides
x = 3y + 13 → (3)
Substitute x = 3y + 13 into (2)
3y + 13 + 2y = 8
5y + 13 = 8 ( subtract 13 from both sides )
5y = - 5 ( divide both sides by 5 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = 3(- 1) + 13 = - 3 + 13 = 10
solution is (10, - 1 )
b) If John saved $40 per month instead of $20, how would you expect the slope of the graph to change? Explain.
Answers
a) The number of months for the saving of $300 will be 14¹/₂.
b) The slope of the saving of $40 will be y = 40 x + 10
What is an equation of the line?
An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that John is going to start saving $20 every month to buy a new iPod. His parents gave him $10 for his birthday to open his savings account. The equation y = 20x + 10 represents John’s savings account balance x months after he began saving.
Part (a),
The number of the months will be calculated as,
y = 20x + 10
300 = ( 20 x + 10 )
290 = 20x
x = 14¹/₂ months
Part(b),
The slope will be 40 for the saving of $40.
To know more about an equation of the line follow
#SPJ2
Answer A: It would take fifteen months, or one year and three months, to get three hundred dollars.
Answer B: It would take seven and a half months to get three hundred dollars at this rate. It would also change the slope by making it go down more.
Step-by-step explanation:
Three hundred divided by twenty equals fifteen, which represents the amount of months.
If you do the same thing with the other ratio, but change twenty to forty, you get seven and a half.
Have a nice day!
Answers
Answer:
Step-by-step explanation:
Alright, lets get started.
When we add or subtract any thing from the function f(x), that is called vertical shift.
The vertical shift means graph will move up or down.
When something is added, the graph of f(x) goes up means vertical shift up.
When something is subtracted, the graph of f(x) goes down, means vertical shift down.
So, when 11 is subtracted from f(x), it means, the graph of f(x) will shift 11 units down. : Answer
Hope it will help :)
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For the answer to be undefined, the bottom has to be 0. That’s not possible for b since the bottom is already 5