<h3>Given</h3>
Two positive integers x and y
x - y = 4
x² + y = 68
<h3>Find</h3>
x and y
<h3>Solution</h3>
Add the two equations together.
... (x - y) + (x² + y) = (4) + (68)
... x² + x = 72
Rearrange to standard form and factor.
... x² + x - 72 = 0
... (x + 9)(x - 8) = 0
Use the zero product rule to find the solutions. That rule says the product is zero when one or more factors is zero.
... x + 9 = 0 ⇒ x = -9
... x - 8 = 0 ⇒ x = 8 . . . . . . the positive solution
Then we can find y from
... 8 - y = 4
... y = 4 . . . . . . . add y-4 to the equation
The two positive integers are 8 and 4.
Answer:
-6.
Step-by-step explanation:
The equation is y = -7x - 6.
The initial value is found when x = 0.
y = -7(0) - 6
y = 0 - 6
y = -6
Hope this helps!
Answer:

Step-by-step explanation:
We have to find the quotient of the division of complex numbers
.
Now, we have to get the expression in simplified form.
=
{Rationalizing the denominator}
= 
=
{Since, i = √(- 1) i.e. square root of negative one, hence, i² = - 1}
= 
=
(Answer)
It means "approximately" instead of "equal to"
Answer:
m=-1/5
Step-by-step explanation:
Slope formula which you will need is (y2-y1)/(x2-x1)
The two y values are 3 and 1
The corresponding x values are -9 and -1
(3-1)/(-9-1)
2/(-10)
Simplify
-1/5