Since 3^2 - (-4)(7) must be bigger than 0
Then it has two real roots.
Answer:
y = x + 8
Step-by-step explanation:
(x² + 6x - 9)/(x - 2)
[x² - 2x + 8x - 16 + 7]/(x - 2)
[x(x - 2) + 8(x - 2) + 7]/(x - 2)
x + 8 + 7/(x - 2)
Oblique asymptote: y = x + 8
I hope this helps you
3/12=5/x
1/4=5/x
x=4.5
x=20
A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
Answer:
-1/2
Step-by-step explanation:
https://www.calculator.net/slope-calculator.html
That website has the best explanation ^^^^^