Answer:
whats the question and are you supposed to type in the answer or do they have a choice?
Answer:
y = 
Step-by-step explanation:
Equation of a line has been given as,
Here, slope of the line = 
y-intercept = 
"If the two lines are parallel, there slopes will be equal"
By this property slope of the parallel line to the given line will be equal.
Therefore, slope 'm' =
Since, slope intercept form of a line is,
y = mx + b
Therefore, equation of the parallel line will be,
y = 
Since, this line passes through a point (-6, 6),
6 = 
6 = 
b = 
b = 
b = 
Equation of the parallel line will be,
y =
Answer:
It is ASA congruence rule as the 2 angles and the included side of the triangle are equal
Answer:
4,784ft^2
Step-by-step explanation:
Well in this case we will just use the square and triangle area formulas instead of the pyramid surface area formula.
So if the base is a square then the area is 32*32 which is 1,024.
Now for the trangle, the area of a triangle b*h/2.
So b*h is 47*32 which is 1,504.
So 1,504/2 is 752.
So 752 is the area of 1 triangle and we have 4 so 5*752 is 3,760.
So 3,760 + 1,024 is 4,784.
So the total SA if the pyramid is 4,784ft^3.
L=Lim tan(x)^2/x x->0
Since both numerator and denominator evaluate to zero, we could apply l'Hôpital rule by taking derivatives.
d(tan^2(x))/dx=2tan(x).d(tan(x))/dx = 2tan(x)sec^2(x)
d(x)/dx = 1
=>
L=2tan(x)sec^2(x)/1 x->0
= (2(0)/1^2)/1
=0/1
=0
Another way using series,
We know that tan(x) = x+x^3/3+2x^5/15+.....
then tan^2(x), using binomial expansion gives
x^2+2*x^4/3+.... (we only need two terms)
and again apply l'Hôpital's rule, we have
L=d(x^2+2x^4/3+...)/d(x) = (2x+8x^3/3+...)/1
=0 as x->0
