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:
(-1, 0)
Step-by-step explanation:
Answer:
I think number 1=209
number 2=120
number 3=89
Step-by-step explanation:
x= 1st aircraft
y=2nd aircraft
z=3rd aircraft
x=y+89
y=z+31
z=y-31
x+y+z=418
y+89+z+31+y-31=418
2y+89+z=418
2y+z=329
2y+(add z)
2y+y-31=329
3y=360
y=120
x=120+89=209
z=120-31=89
An exponential parent function is the option C. f(x)= 
, from the given options.
What do you mean by exponential parent function?
The formula for their parent function is y = 
, where b is any non zero constant. Below is a graph of the parent function, y = 
, which demonstrates that it will never equal 0. And at y = 1 when x = 0, y crosses the y-axis.
According to options in the given question,
We have the option below in the given question:
A. f(x) = 2^x – 3 
B. f(x) = 2^x + 2 
C. f(x) = 2^x 
D. f(x) = 2^x + 1/3
We know from the above definition that the option C. is the right answer to the given question.
Therefore, the exponential parent function is f(x)= .
To learn more about exponential parent function, visit:
brainly.com/question/24210615?referrer=searchResults
#SPJ1
1,0,10,7,13,2,9,15,0,3/ 10
=60/10
=6
