Answer:
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180 degrees
so
70 + 35 + x = 180 add like terms
105 + x = 180 subtract 105 from both sides
x = 75
<em>A line passes through the point (-1, -8) and has a slope of -6. Write an </em>
<em> equation for the line in slope-intercept form.</em>
<em />
<em />
First, let's write the equation of the line in Point-slope form:-
Replace y₁ with -8, m with -6, and x₁ with -1:-
On simplification,
Now let's convert it into slope-intercept form:-
<em> </em>On further simplification,
Finally, We get
<h3>Good luck with your studies.</h3>
#TogetherWeGoFar
d=-8 is the answer for first eqn
2 glasses. 2/4 glasses equals 1/2 glasses, so you would be able to fill up two glasses.
Answer: Identify which of the following functions are eigenfunctions of the operator d/dx: (a) eikx, (b) cos kx, (c) k, (d) kx, (e) e−ax2
Step-by-step explanation: First, we going to apply the operator derivate to each item. Remember that a function f is an eigenfunction of D if it satisfies the equation
Df=λf, where λ is a scalar.
a) D(eikx)/dx= ik*eikx, then the function is a eigenfunction and the eingenvalue is ik.
b) D(cos kx)/dx= -ksen kx, then the funcion is not a eigenfunction.
c) D(k)/dx=0, then the funcion is not a eigenfunction.
d) D(kx)/dx=k, then the funcion is not a eigenfunction.
e) D(e-ax2)/dx= -2ax*e-ax2, then the function is a eigenfunction and the eingenvalue is -2ax
