Step-by-step explanation:
point-slope form is
y - y1 = a(x - x1)
with a being the slope, and (x1,y1) being a point on the line.
the general form is
y = ax + b
a is again the slope. and b is the y-intercept (the y value when x = 0).
the slope is the ratio "y coordinate change / x coordinate change".
so, we need to find the slope of the original line :
x - 7y - 9 = 0
x - 9 = 7y
y = 1/7 x - 9/7
so, the original slope is 1/7.
the perpendicular slope turns the original slope upside-down and flips the sign.
so, it is
-7/1 = -7
the point slope form is
y - -4 = -7(x - 6)
y + 4 = -7(x - 6)
for the standard form we only need to do the multiplications and transform the equation into the above form :
y + 4 = -7(x - 6)
y + 4 = -7x + 42
y = -7x + 38
Answer:
The answer could be anything, but if it's an arithmetical sequence, then it's 14.
Step-by-step explanation:
I'm assuming that the added numbers always stay the same, meaning it's linear. If you add 5 to 9, you get 14. If you add 5 again, you get 19. Another way of doing this is (19-9)/2 = 5, then 9+5=14.
There would be 36/12 if you were talking about 3 wholes but if you were just talking about 1/3 you would have 3/12
now for the example I don't know
Call the integers 'N' and N+1.. Their sum is 2N+1. Twice their sum is 4N+2. . . Two more than that is 4N+4 and the question says that their product is equal to that. . So write N (N+1) = 4N +4, and then solve that equation to find N. I can tell you right now, by looking at it, that N is 4. You should solve the equation.
Answer:
18. C
19.A
20. C
Step-by-step explanation:
18.
x< 15 where x is the average that each person contributes.
This gives 3x <45, limiting the gift basket's total cost to < $45. (Actually ≤ 14.99 per person, so max cost is $44.97.
19. simple algebra
a <= -4 + 7
a <= 3
20.
since u divide and the co efficient is negative u flip the sign
-3m<15
m>-5
