Answer:
o
Step-by-step explanation:
Answer:
b perpendicular
Step-by-step explanation:
all that is needed to do is the Y2 - y1 / X2 - X1 formula and then compare the two slopes making sure they are inverse opposites
Line 1) -7 -8 / -3 -2 X= 3X
Line 2) -3 - 0 / 12 - 3 X = -1 / 3X
Because they are inverse opposites of each other they are perpendicular had they had the exact same slopes they would have been parallels.
Answer:
D
Step-by-step explanation:
The slope is 2/5 and the slope of the new line will be -5/2 because the negative reciprocal creates a perpendicular line. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y--2)=-5/2(x-2)
y+2=-5/2x+10/2
y=-5/2x+5-2
y= -5/2x+3
A) The first step needs 100 bricks, the second needs 98, the third needs 96, and so on. Therefore the number of bricks for the nth step is: a_n = a_1 + d(n-1), where a_1 = 100 (the first term), d = -2 (difference).
a_n = 100 - 2(n-1) = 102 - 2n, and for the 30th step, a_30 = 102 - 2*30 = 42. So the top step will need 42 bricks.
b) The total staircase will need: 100 + 98 + 96 + ... + 44 + 42, and there are n = 30 terms. Using the formula for the sum of an arithmetic sequence:
S = (a_1 + a_n)*n/2 = (100 + 42)*30/2 = 2130
Therefore, 2130 bricks are required to build the entire staircase.
