Answer:
Step-by-step explanation:
Perpendicular lines will have slopes that are the multiplicative additive inverse of each other: a line with slope 3/4 is perpendicular to a line with slope -4/3, for example. You need a line that is perpendicular to a line with slope -2 (reading that from the -2 in the -2x portion of the given equation, which is written in slope-intercept form), so your new line must have slope +1/2.
With the slope and a point, we can come up with an equation using this formula:
y - y-coordinate = slope (x - x-coordinate)
So we have y - (-2) = 1/2 (x - 4).
Simplify the equation: y + 2 = 1/2 x - 2
Subtract 2 from both sides: y + 2 - 2 = 1/2 x - 2 - 2
Simplify: y = 1/2 x - 4.
9 is your answer, hope this helps
Answer:44
Step-by-step explanation:
Answer:
c = 0.165
Step-by-step explanation:
Given:
f(x, y) = cx y(1 + y) for 0 ≤ x ≤ 3 and 0 ≤ y ≤ 3,
f(x, y) = 0 otherwise.
Required:
The value of c
To find the value of c, we make use of the property of a joint probability distribution function which states that
where a and b represent -infinity to +infinity (in other words, the bound of the distribution)
By substituting cx y(1 + y) for f(x, y) and replacing a and b with their respective values, we have
Since c is a constant, we can bring it out of the integral sign; to give us
Open the bracket
Integrate with respect to y
Substitute 0 and 3 for y
Add fraction
Rewrite;
The 
is a constant, so it can be removed from the integral sign to give
Integrate with respect to x
Substitute 0 and 3 for x
Multiply both sides by 
Answer:
x=104°
Step-by-step explanation:
180=(x+4) +72
180-72=x+4
108=x+4
108-4=x
104=x
x=104°
Hope this helps! :)
