Answer with Step-by-step explanation:
We are given that a point (3,1,0)
Two vectors are
A=<1,1,0>
B=<0,1,1>
Let v
Substitute the values then we get
The parametric equation of the line
Using the formula
The parametric equation of the line which is passing through the point (3,1,0) and perpendicular to both i+j and j+k is given by
The symmetric equation of the line is given by
Using the formula
The symmetric equation of the line which is passing through the point (3,1,0) and perpendicular to both i+j and j+k is given by
X=10
Step-by-step explanation:
(10-5)^2= (5)^2= 25
Answer:
From the question, it is given that the number 5 is subtracted from three times a number, then the result is 16.
Let us assume the number be x, so now we have to frame the equation according to the question
Therefore, the equation is given by
⇒3x−5=16
Now taking the constant term to the right side, so we get
⇒3x=16+5
Now solving the addition part of the right side equation, we get
⇒3x=21
So taking the constant term to the right side in the denominator, we get
⇒x=213
On solving the division, we get
⇒x=7
Therefore, 7 is the number.
hope it will help you
Answer:
z = -ln│5eᵗ + C│
Step-by-step explanation:
dz/dt + 5eᵗ⁺ᶻ = 0
dz/dt = -5eᵗ⁺ᶻ
dz/dt = -5eᵗeᶻ
-e⁻ᶻ dz = 5eᵗ dt
e⁻ᶻ = 5eᵗ + C
-z = ln│5eᵗ + C│
z = -ln│5eᵗ + C│