I need this answer quickly please

Mathematics

1 answer:

aleksklad [387]3 years ago

4 0

Answer:

x= 0 or x= 1

Step-by-step explanation:

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Given points A (-3,-4) and B (2,0), points P (-1,-12/5) partitions line AB in the ratio

kvv77 [185]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&A&(~ -3 &,& -4~) 
&P&(~ -1 &,& -\frac{12}{5}~)
\end{array}
\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AP=\sqrt{[-1-(-3)]^2+[-\frac{12}{5}-(-4)]^2}
\\\\\\
AP=\sqrt{(-1+3)^2+(-\frac{12}{5}+4)^2}\implies AP=\sqrt{2^2+\left( \frac{8}{5} \right)^2}
\\\\\\
AP=\sqrt{4+\frac{64}{25}}\implies AP=\sqrt{\cfrac{164}{25}}\implies AP=\cfrac{\sqrt{164}}{\sqrt{25}}
\\\\\\
\boxed{AP=\cfrac{2\sqrt{41}}{5}}$

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&P&(~ -1 &,& -\frac{12}{5}~) 
&B&(~ 2 &,& 0~)
\end{array}
\\\\\\
PB=\sqrt{[2-(-1)]^2+[0-\left(-\frac{12}{5} \right)]^2}
\\\\\\
PB=\sqrt{(2+1)^2+\left( \frac{12}{5} \right)^2}\implies PB=\sqrt{9+\frac{144}{25}}\implies PB=\sqrt{\cfrac{369}{25}}
\\\\\\
PB=\cfrac{\sqrt{369}}{\sqrt{25}}\implies \boxed{PB=\cfrac{3\sqrt{41}}{5}}$

so, let's check the ratio of AP:PB

$\bf AP:PB\implies \cfrac{AP}{PB}\implies \cfrac{\frac{2\sqrt{41}}{5}}{\frac{3\sqrt{41}}{5}}\implies \cfrac{2\underline{\sqrt{41}}}{\underline{5}}\cdot \cfrac{\underline{5}}{3\underline{\sqrt{41}}}\implies \cfrac{2}{3}$

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3 years ago

Factorize the following: <br>cosB + 5cosB - 6

Dima020 [189]

$\\ \rm\Rrightarrow cosB+5cosB-6$

Add cos

$\\ \rm\Rrightarrow (1+5)cosB-6$

$\\ \rm\Rrightarrow 6cosB-6$

Take 6 common

$\\ \rm\Rrightarrow 6(cosB-1)$

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3 years ago

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Which of the following best describes perpendicular lines?

WARRIOR [948]

I think that your answer would be B) lines that meet at a 90 degree angle. These lines must intersect, and they have slopes that are opposite reciprocals when compared to each other.

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Factor a number, variable, or expression out of the polynomial shown below.

katen-ka-za [31]

Your answer is B.

Just take what is being multiplied by (10x-7) and put it together to get
(x+11)(10x-7)

Hope this helps :-)

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ValentinkaMS [17]

Answer:

Step-by-step explanation: