Q1
I like to use the standard form to write the equation of a perpendicular line, especially when the original equation is in that form. The perpendicular line will have the x- and y-coefficients swapped and one negated (remember this for Question 3). Thus, it will be
... 5x - 2y = 5(6) - 2(16) = -2
Solving for y (to get slope-intercept form), we find
... y = (5/2)x + 1 . . . . . matches selection C
Q2
The given equation has slope -3/6 = -1/2, so that will be the slope of the parallel line. (matches selection A)
Q3
See Q1 for an explanation. The appropriate choice is ...
... B. 4x - 3y = 5
Q4
The given line has slope -2, so you can eliminate all choices except ...
... D. -2x
Q5
The two lines have the same slope (3), but different intercepts, so they are ...
... A. parallel
Answer:
The answer is 35.
Step-by-step explanation:
Prime numbers that are less than 50 are --> 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
The largest prime number in here that is less than 50 is 47, right?
Lastly, the smallest composite number which is greater than 10 is what? It is 12, okay?
So, 47 - 12 = 35
3 letters to US = 3*0.94 = 2.82
2 local letters = 2*0.44 = 0.88
checking: 2.82+0.88 = 3.70
to get rid out of 0.04 cents you have to multiply it by 5. so total number of letters would be 5.