Answer:

Step-by-step explanation:
The equation of a line in point-slope form is

where y1 and x1 are 2 known points, and m is the slope of the line. So simply just fill in the blanks.
y is a variable so it is left alone (since there is no subscript).
y1 we are told is 1.
m we are told is -3 (the slope)
x is a variable so it is left alone (since there is no subscript).
x1 we are told is 6.
Rate of change is Rise over run=3/36=1/12 inches
9514 1404 393
Answer:
- 2nd force: 99.91 lb
- resultant: 213.97 lb
Step-by-step explanation:
In the parallelogram shown, angle B is the supplement of angle DAB:
∠B = 180° -77°37' = 102°23'
Angle ACB is the difference of angles 77°37' and 27°8', so is 50°29'.
Now, we know the angles and one side of triangle ABC. We can use the law of sines to solve for the other two sides.
BC/sin(A) = AB/sin(C)
AD = BC = AB·sin(A)/sin(C) = (169 lb)sin(27°8')/sin(50°29') ≈ 99.91 lb
AC = AB·sin(B)/sin(C) = (169 lb)sin(102°23')/sin(50°29') ≈ 213.97 lb
Answer:
B
Step-by-step explanation:
Conditional probability is:
P(A given B) = P(A and B) / P(B)
Here, P(A and B) = 0.052 and P(B) = 0.17:
P(A given B) = 0.052 / 0.17
P(A given B) = 0.306