COMPLETE ANSWER

Mathematics

1 answer:

stepan [7]1 year ago

4 0

Answer:

8. Subordinates looks to the manager to give directions so they can follow.

9. The department head tells his department what the CEO wants them to do regarding a certain product.

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

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

7 0

2 years ago

Divide.<br> 123 : 5 <br> remainder

blsea [12.9K]

123 / 5

100 / 5 = 20

20 / 5 = 4

3 = remainder

5 0

2 years ago

Read 2 more answers

Number 31 please guys!!!!!

monitta

the answer is c
this is because, first you use the distributive property. Multiply 'y' by the number 3 and you get 3y
then multiply 3 by the number 4.
you get 12
subtract 7 from 12 and you get 5

So, the expression becomes 3y+5

Hope this helped!!

3 0

3 years ago

cole puts 68 books in a bookcase.he puts an equal number of books on each of 9 shelves and 5 books on the last shelf. how many b

fredd [130]

9x + 5 = 68
9x = 63
x = 7
Cole put seven books on each shelf.

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3 years ago

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Janine has job offers at two companies. One company offers the starting salary of $28,000

Diano4ka-milaya [45]

Answer:

i mean that's not enough info

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2 years ago