Perpendicular lines have slopes that are negative reciprocals.
so first you must find the slope of the line given
the slope formula is
m=(y₂-y₁)/(x₂-x₁)
now you just plug in the coordinate points that you are given
m=(-2-2)/(0-(-3)
m=-4/3
so the slope of the line given is -4/3, the negative reciprocal of this would be 3/4
The slope of the perpendicular line would be 3/4
Using the distributive property, an equivalent expression would be 6-16y
Comment the correct answer.
Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
30% chance that the company will lose $30000.
40% chance of a break even that there is no loss and no profit.
30% chance that the company will profit $ 60000.
As we know the formula for "Expectation":
So, Expected value will be

Expected value is $9000. So, the company should proceed with the project.
Hence, Option 'A' is correct.
Answer:
m<V = 11.2 degrees
Step-by-step explanation:
In ΔUVW, the measure of ∠W=90°, UV = 6.2 feet, and WU = 1.2 feet.
From the triangle;
UV = hypotenuse = 6.2feet
WU = opposite = 1.2feet
Required
m<V
Using the SOH CAH TOA identity
sin m<V = opp/hyp
sin m<V = WU/UV
sin m<V = 1.2/6.2
sin m<V = 0.1936
m<V = arcsin(0.1936)
m<V = 11.16
m<V = 11.2 degrees ((to the nearest tenth of a degree)
Answer:
Joey is 2 years old and Martine is 16 years old.
Step-by-step explanation: