Answer:
d
Step-by-step explanation:
Answer:
4 out of 18
Step-by-step explanation:
First off, let's take a peek at y-8=3(x-10), which is already in point-slope form
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![\bf y-8=\stackrel{slope}{3}(x-10)](https://tex.z-dn.net/?f=%5Cbf%20y-8%3D%5Cstackrel%7Bslope%7D%7B3%7D%28x-10%29)
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so, it has a slope of 3, so a line perpendicular to that one, will have a negative reciprocal slope to that,
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![\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{3}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bperpendicular%20lines%20have%20%5Cunderline%7Bnegative%20reciprocal%7D%20slopes%7D%7D%0A%7B%5Cstackrel%7Bslope%7D%7B3%5Cimplies%20%5Ccfrac%7B3%7D%7B1%7D%7D%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cstackrel%7Breciprocal%7D%7B%5Ccfrac%7B1%7D%7B3%7D%7D%5Cqquad%20%5Cstackrel%7Bnegative~reciprocal%7D%7B-%5Ccfrac%7B1%7D%7B3%7D%7D%7D)
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so we're really looking for the equation of a line whose slope is -1/3 and runs through -2,7.
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![\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{7})\qquad \qquad \qquad slope = m\implies -\cfrac{1}{3} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-7=-\cfrac{1}{3}[x-(-2)] \\\\\\ y-7=-\cfrac{1}{3}(x+2)](https://tex.z-dn.net/?f=%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B-2%7D~%2C~%5Cstackrel%7By_1%7D%7B7%7D%29%5Cqquad%20%5Cqquad%20%5Cqquad%20%0Aslope%20%3D%20%20m%5Cimplies%20-%5Ccfrac%7B1%7D%7B3%7D%0A%5C%5C%5C%5C%5C%5C%0A%25%20point-slope%20intercept%0A%5Cstackrel%7B%5Ctextit%7Bpoint-slope%20form%7D%7D%7By-%20y_1%3D%20m%28x-%20x_1%29%7D%5Cimplies%20y-7%3D-%5Ccfrac%7B1%7D%7B3%7D%5Bx-%28-2%29%5D%0A%5C%5C%5C%5C%5C%5C%0Ay-7%3D-%5Ccfrac%7B1%7D%7B3%7D%28x%2B2%29)
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Answer:
B
Step-by-step explanation:
You're trying to isolate the m so add 16 to both sides to cancel the -16
Answer:
23cm
Step-by-step explanation:
to convert from millimetres to centimetres, you divide by 10.
10mm= 1cm.
so 230mm = 23cm.