Please help i am panicking

Mathematics

1 answer:

vaieri [72.5K]3 years ago

5 0

Answer:

Step-by-step explanation:

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Find the coordinates of P so that P partitions the segment AB in the ratio 1:7 if A(7,14) and B(−1,−2).

love history [14]

Answer:

P(6, 12 )

Step-by-step explanation:

Using the Section formula, then

$x_{P}$ = $\frac{7(7)+1(-1)}{1+7}$ = $\frac{49-1}{8}$ = $\frac{48}{8}$ = 6

$y_{P}$ = $\frac{7(14)+1(-2)}{1+7}$ = $\frac{98-2}{8}$ = $\frac{96}{8}$ = 12

Hence P(6, 12 )

5 0

4 years ago

What is the slope of a line perpendicular to the line whose equation x+y=3. Fully simplify your answer

Tasya [4]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

$x + y =3\implies y=-x+3\implies y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill$

$\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-1\implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1}\implies 1}}$