Answer:
Step-by-step explanation:
Given
Required
Find a and b
Substitute for x and y in
Rewrite as:
The above implies that (a) is correct;
Hence:
So, the equation is:
Answer:
x = 170/34 = 5
Step-by-step explanation:
The sum of angle 1 and angle 2 is 180 degrees. They form a straight line.
So, just add the two equations together, set them equal to 180 and solve for x.
12x+19 + 22x - 9 = 180
34x + 10 = 180
34x = 180 - 10 = 170
x = 170/34 = 10/2 = 5
Answer:
22.8906 sq in
Step-by-step explanation:
SA of a sphere = 4 π 
r = 2.7 / 2 = 1.35
4 x 3.14 x 
= 22.8906
P(A) = 1/4
p(B) = 2/3
p(A ∩ B) = 1/5
p(A).p(B) = 2/12 = 1/6 ≠p(A ∩ B )
thus no, they are dependent because P(A) ⋅ P(B) ≠ P(A ∩ B)
Answer:
The equation of the line is y - 6 = -14/11(x + 4)
Step-by-step explanation:
To find the equation of this line, we first need to find the slope. To do that, we use the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (6 - -8)/(-4 - 7)
m = (6 + 8)/(-4 - 7)
m = 14/-11
m = -14/11
Now that we have the slope, we can use it and either point in point-slope form and solve for the equation.
y - y1 = m(x - x1)
y - 6 = -14/11(x + 4)
