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luda_lava [24]
3 years ago
5

Simplify negative 4 and 1 over 4 − negative 9 and 1 over 2.

Mathematics
1 answer:
Orlov [11]3 years ago
4 0
5/1/4 yeahhh it right
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Multiply both sides by -2 and reverse the inequality symbol

Step-by-step explanation:

since it is division you want to make it multiplication so that you can get the answer easier

-1/2w<12

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w > -24

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A)


\bf \textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;Q&({{ 0}}\quad ,&{{ 2}})\quad &#10;%  (c,d)&#10;P&({{ 0.5}}\quad ,&{{ 0}})&#10;\end{array}\qquad &#10;%  distance value&#10;d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}

\bf QP=\sqrt{(0.5-0)^2+(0-2)^2}\implies QP=\sqrt{0.5^2+2^2}&#10;\\\\\\&#10;QP=\sqrt{\left( \frac{1}{2} \right)^2+4}\implies QP=\sqrt{ \frac{1^2}{2^2}+4}\implies QP=\sqrt{\frac{1}{4}+4}&#10;\\\\\\&#10;QP=\sqrt{\frac{17}{4}}\implies QP=\cfrac{\sqrt{17}}{\sqrt{4}}\implies QP=\cfrac{\sqrt{17}}{2}

b)

since QR=QP, that means that QO is an angle bisector, and thus the segments it makes at the bottom of RO and OP, are also equal, thus RO=OP

thus, since the point P is 0.5 units away from the 0, point R is also 0.5 units away from 0 as well, however, is on the negative side, thus R (-0.5, 0)


c)

what's the equation of a line that passes through the points (-0.5, 0) and (0,2)?

\bf \begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%   (a,b)&#10;Q&({{ 0}}\quad ,&{{ 2}})\quad &#10;%   (c,d)&#10;R&({{ -0.5}}\quad ,&{{ 0}})&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope = {{ m}}= \cfrac{rise}{run} \implies &#10;\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-2}{-0.5-0}\implies \cfrac{-2}{-0.5}

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3 years ago
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