Answer:
The length of the rectangle is of 9 units.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



Area of a rectangle:
A rectangle has width
and length
. The area is the multiplication of these measures, that is:

The length of a rectangle is the sum of the width and one.
This means that
, or 
The area direct angle 72 units. What’s the length, in units, of the rectangle
We want to find the length. So



Quadratic equation with
. So



Since the length is a positive measure, the length of the rectangle is of 9 units.
Answer:
Jason Inherit a land with a 45% chance of having oil.
Step-by-step explanation:
The probability of the land having oil is = P
(
O)
=
45
/100
The probability of the land having oil is= Q(O
)
=55/100
The machine has an accuracy of 80%. This suggests that 8 out of 10 times the machine will give a wrong reading.
The probability of the correct reading is= P(M)=80/100
The probability of the incorrect reading is=Q(M)=20/100
The case when the machine predicts there is no oil and there is indeed oil can be calculated:Probability=Probability of oil present × probability of the incorrect reading
Probability=P(O) x Q(M)
Probability=45/100 x 20/100
Probability=9/100
The probability of the test predicting no oil in land and the land has oil is 0.09 or 9%
The answer to this expression is 2
Slope of a line passing through these two points is
.
Hope this helps.