What is the general form of the equation of a circle with center at (a, b) and radius of length m?. A. x2 + y2 − 2ax − 2by + (a2 + b2 − m2) = 0 . . B.x2 + y2 + 2ax + 2by + (a2 + b2 − m2) = 0. C. x2 + y2 − 2ax − 2by + (a + b − m2) = 0. D. x2 + y2 + 2ax + 2by + a2 + b2 = -m2.
Answers
Where,
r: radius of the circle
(xo, yo): center of the circle.
The center of the circle in this case is:
The radius of the circle is:
Substituting values we have:
Rewriting the equation we have:
Answer:
The general form of the equation of a circle with center at (a, b) and radius of length m is:
option A
the standard equation for a circle is: (x-a)^2 + (y-b)^2 = m^2
x-a)^2 + (y-b)^2 = m^2
means(x-a)(x-a) + (y-b)(y-b) = m^2 then you foil
x^2 - 2ax + a^2 + y^2 - 2by + b^2 = m^2
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Use Gaussian elimination to solve the following system of linear equations -2x_1+3x_2 + x_3 = 2 -3x_1+4x_2 + 2x_3 = 2 x_1-5x_2+4x_3 = -9 -2x_1+4x_2-4x_3 = 8
Determine the pattern rule for the table and write it as an equation.
Answers
Final answer:
The greatest common polynomial of 8r³-6r² is 2r². The expression when factored using the greatest common polynomial becomes 2r²(4r-3).
Explanation:
To find the greatest common polynomial of the expression 8r³-6r², we must look for the greatest common factor or polynomial. In this case, we observe that both terms, 8r³ and 6r², have a common factor of 2r².
To factorize the expression, we simply divide each term by the greatest common factor we identified. The factored expression is 2r²(4r-3).
So, the greatest common polynomial in the given expression is 2r².
Learn more about Greatest Common Polynomial here:
#SPJ11
Answers
7/10 = 70/100 = 70%
2/5 = 40/100 = 40%
1/3 = 33.33/100 = 33.33%
17/20 = 85/100 = 85%
exg 23/100=23%
just convert the bottom number to 100
7/10 times 10/10=70/100=70%
2/5 times 20/20=40/100=40%
1/3 times 33.333/33.333=33.3333/99.999 close enought 33.33%
17/20 times 5/5=85/100=85%
Answers
Answer:
I will solve this problem by factor theorem.
If , (x+1) is a factor of the polynomial , then ,if we substitute,x= -1 in f(x), then, f(-1)=0.
Now,
As, f(-1)≠ 0
Option B: (x+1) is not a factor of the polynomial , .
3x^3+2x²-1=(x-1)(3x²-x+1)+2
remainder is 2
(x+1) is not a factor of 3x^3+2x²-1 nor of -(3x^3+2x²-1)= -3x²-2x²+1.
Answer B
1/2
(x + 12) = 4x – 1
Answers
First, if we want to solve it, we would take our equation, (i like decimals) .5(x+12)=4x-1 and distribute the .5 to both things in the parentheses. when we do that we get .5x+6=4x-1. now we get our variables to the same side by subtracting .5x from both sides. When we do this, we are left with 6=3.5x-1. next we add 1 to each side and get 7=3.5x. Now we divide each side by 3.5, and get x=2. Now we have to plug it into the original equation and get .5(2+12)=4(2)-1. when we simplify this we get .5(14)=7, which goes to 7=7. this is a true statement, so we know that x=2. since we only have one value for x, we know the answer is that only one solution exists.
Another way that is simpler, but not always accurate, is to look at the variable. There can only be as many solutions for x as the highest exponent x is to, in this case, x has no exponent so there can't be more than one solution, so we say that it has one solution. This way is a lot faster, but can be wrong if the equation has a false solution. This false solution happens when you solve the equation and get a value, but it doesn't work for the original equation.
The second way is a lot faster, but the first way will always give you the right answer
Answer:
One solution, option B for edge2020
Step-by-step explanation:
Answers
The question is meaningless. It uses "kilowatt" completely incorrectly.
"Watt" and "kilowatt" are rates at which energy is used, NOT
amounts of energy.
The question is a lot like saying that a car traveled for 5 hours at
4 miles per hour, so how many miles per hour did it travel each
hour it drove ?
======================================
If a machine used energy at the rate of 4 kilowatts when it's
running, then it uses 4 kilowatt-hours of energy during every
hour that it runs.
If it runs for 5 hours, then it uses
(4 kilowatts x 5 hours) = 20 kilowatt-hours
of energy during that time.
Answers
Answer:
Step-by-step explanation:
4 because as shown below. An equilateral triangle has 3 lines of symmetry.
Answer:
D
Step-by-step explanation:
The zeros are the values of x on the x- axis where the graph crosses.
The graph crosses the x- axis at x = - 4 and x = - 6
Then x = - 4 and x = - 6 are the 2 zeros → D