(x₁,y₁) = (2,-3)
(x₂,y₂) = (2,9)
To determine the slope using two points lie on the line, we could use the following formula
m =
plug in the numbers
m =
m =
m =
m = undefined
The slope is undefined, the line is vertical
Hello! So, the sum of the angles of a triangle is 180 degrees. There’s already an angle that is 60 degrees. So, there are 120 degrees left to be found. You set this formula up as 3y = 120. Divide each side by 3 to isolate the y. When you solve that, you should get y = 40.
2y = 80 degrees
y = 40 degrees
Answer:
97.98
Step-by-step explanation:
The area of the parallelogram PQR is the magnitude of the cross product of any two adjacent sides. Using PQ and PS as the adjacent sides;
Area of the parallelogram = |PQ×PS|
PQ = Q-P and PS = S-P
Given P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4)
PQ = (4,-5,3) - (0,0,0)
PQ = (4,-5,3)
Also, PS = S-P
PS = (8,-12,4)-(0,0,0)
PS = (8,-12,4)
Taking the cross product of both vectors i.e PQ×PS
(4,5,-3)×(8,-12,4)
PQ×PS = (20-36)i - (16-(-24))j + (-48-40)k
PQ×PS = -16i - 40j -88k
|PQ×PS| = √(-16)²+(-40)²+(-88)²
|PQ×PS| = √256+1600+7744
|PQ×PS| = √9600
|PQ×PS| ≈ 97.98
Hence the area of the parallelogram is 97.98
Answer:
we can determine the volume of a right cylinder
by this formula : V = πr²h
Step-by-step explanation:
V = πr²h
