Answer:
Step-by-step explanation:
step 1
Find the slope of the given line
we know that
If two lines are parallel, then their slopes are the same
The equation of the given line is
This is a equation of the line in slope intercept form
where
m is the slope
b is the y-intercept
The slope m is equal to
therefore
The slope of the line parallel to the given line is
step 2
Find the equation in slope intercept form of the line parallel to the given line
we have
substitute the values and solve for b
therefore
The linear equation is
Answer:
A trapezoid has no axes of reflectional symmetry. A trapezoid has no rotational symmetry (Order 1). Note: Having no rotational symmetry means that the figure must be rotated a full 360º to again appear in it original position.
Step-by-step explanation:
I'm assuming that the side AE is *1.5 of BF. (I havent learnt about midpoints, but I know it's the middle)
23*1.5=<span>34.5
</span>
5x-4=34.5+4 on both sides
5x=38.5/5 on both sidesx=<span>7.7</span>
Answer:
s ∈ (25.5,34.5)
''s'' is in inches unit
s ∈ IR
Step-by-step explanation:
We know that the perimeter of a square is 
Where P is the perimeter and s is the length of a side.
We want the perimeter to be greater than 102 inches but less than 138 inches.
We can write :
102 inches < P < 138 inches
If we replace P = 4s in the expression :
102 inches < 4s < 138 inches
Dividing by ''4''
25.5 inches < s < 34.5 inches
If we want the perimeter to be greater than 102 inches but less than 138 inches the length of a side must be greater than 25.5 inches but less than 34.5 inches.
Writing this in interval notation
s ∈ (25.5,34.5)
s ∈ IR
For this case we have the following difference equation:
Applying separable variables we have:
Integrating both sides we have:
applying exponential to both sides:
For y (1) = 1 we have:
Thus, the particular solution is:
Whose domain is all real.
Answer: y = 0.2 * exp ((3/2) x ^ 2) Domain: all real numbers
