keeping in mind that perpendicular lines have negative reciprocal slopes, hmmm what's the slope of the equation above anyway?
![\bf y = \cfrac{2}{3}x\implies y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{2}{3}}x+0\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20y%20%3D%20%5Ccfrac%7B2%7D%7B3%7Dx%5Cimplies%20y%20%3D%20%5Cstackrel%7B%5Cstackrel%7Bm%7D%7B%5Cdownarrow%20%7D%7D%7B%5Ccfrac%7B2%7D%7B3%7D%7Dx%2B0%5Cqquad%20%5Cimpliedby%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20slope-intercept~form%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y%3D%5Cunderset%7By-intercept%7D%7B%5Cstackrel%7Bslope%5Cqquad%20%7D%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bm%7Dx%2B%5Cunderset%7B%5Cuparrow%20%7D%7Bb%7D%7D%7D%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
so we're really looking for the equation of a line whose slope is -3/2 and runs through (0,0).
The answer is D, hope this helped.
Answer:
-The equation r+b-33 represents the total number of marbles
-There 9 black marbles
-There are 24 red marbles
Step-by-step explanation:
The bag contains 33 red and black marbles. Let the number of black marbles be b and that of red marble to r
Total number of marbles will be
b+r = 33 i.e b+r-33 = 0... (1)
If the number of red marbles is 6 more than double the number of black marbles, this can be represented as;
r = 6+ 2b... (2)
Substituting 2 in eqn 1 we have;
b + 6+2b = 33
3b = 27
b = 9
r = 33-9
r = 24
This shows that there are 9 black marbles, 24 red marbles and the equation r+b-33 represents the total number of marbles in the bag.
The answer is B because you multiply the feet by the number of inches in the one foot, which is 12.
Answer:
x=5
Step-by-step explanation:
it all adds up to 180 so set (9x+2)+133=180
-133=-133
47
9×5=45+2=47=47
