Answer:
A is at 1 1/8
B is at 2 3/8
C is at 3 4/8 or 3 1/2
D is at 4 3/8
Put E on the last mark before the 5
Step-by-step explanation:
<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:
The slope of the line perpendicular would be 5/2.
Step-by-step explanation:
It would be 5/2, because it is considered a negative reciprocal.
Answer:
10
Step-by-step explanation:
6-(-12)/3
= 6-(-4)
= 6+4
= 10
Hope this helps!
