What is the solution set of x2 + y2 = 26 and x − y = 6? A. {(5, -1), (-5, 1)} B. {(1, 5), (5, 1)} C. {(-1, 5), (1, -5)} D. {(5,
Rus_ich [418]
He two equations given are
x^2 + y^2 = 26
And
x - y = 6
x = y +6
Putting the value of x from the second equation to the first equation, we get
x^2 + y^2 = 26
(y + 6) ^2 + y^2 = 26
y^2 + 12y + 36 + y^2 = 26
2y^2 + 12y + 36 - 26 = 0
2y^2 + 12y + 10 = 0
y^2 + 6y + 5 = 0
y^2 + y + 5y + 5 = 0
y(y + 1) + 5 ( y + 1) = 0
(y + 1)(y + 5) = 0
Then
y + 1 = 0
y = -1
so x - y = 6
x + 1 = 6
x = 5
Or
y + 5 = 0
y = - 5
Again x = 1
So the solutions would be (-1, 5), (1 , -5). The correct option is option "C".
Step-by-step explanation:
to find mean
add all numbers, then divide by how many set they given
to find median
you need to arrange them ascending order
then what is the number in the middle
to find mode
find what most repeated number
Answer:
24
Step-by-step explanation:
Four total places someone can come - 1st, 2nd, 3rd or 4th. Anyone can come 1st - 4 people
Now only the remaining 3 can come second - 3 people
Next, only the remaining 2 people can come third - 2 people
Finally, one person comes last - 1 person
4 x 3 x 2 x 1 = 24
Answer:
B. 360 .75
Step-by-step explanation:
The circumference of the circle is represented by π * diameter of the circle. The circumference of the circle is its perimeter. The circumference is arc length of the circle. The perimeter is curve length around the figure of the circle. The circumference of the circle of 75 inches is represented by 75/360.
Answer:
13 over 2
Step-by-Step equation:
4x + 8<2x - 5
4x - 2x < -5-8
-2x<-13
x>13/2 (13 over 2)
