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3 years ago

Find the point, M, that is two-sevenths of the distance from A(-9, 2) to B(-2, -12).

Mathematics

1 answer:

Softa [21]3 years ago

3 0

(2B +5A)/7 = (2(-2, -12) +5(-9, 2))/7 = (-4-45, -24+10)/7 = (-7, -2)

Selection B is appropriate.

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When two computers are working together, they can finish updating software in 9 minutes. How long would they take individually t

tensa zangetsu [6.8K]

First computer takes x min. For 1 min it does 1/x part of work.

Second computer takes (x+24) min. For one min it does 1/(x+24) part of work.

Both computers for one min do (1/x+1/(x+24)) part of work.

At the same time, both computers for one min do 1/9 part of work.

$\frac{1}{x} + \frac{1}{x+24} = \frac{1}{9} 
\\ \\ \frac{x+24+x}{x(x+24)} = \frac{1}{9} 
\\ \\9(2x+24)=x^{2} +24x
\\ \\ 18x+216=x^{2} +24x
\\ \\ x^{2}+6x-216=0
\\ \\ D=b^{2}-4ac=36+4*216 = 900
\\ \\ x= \frac{-b+/- \sqrt{D} }{2a} = \frac{-6+/-30}{2} 
\\ \\ x_{1}=-18, x_{2}=12

We can use only positive number here. So, 

for the first computer x=12 min,

 for second computer x+24=12+24= 36 min

Answer 12 min and 36 min.$

7 0

3 years ago

Find a linear equation with two variables that, together with the

Marat540 [252]

Answer:

y = x

Step-by-step explanation:

Any equation that describes a different line will be part of a system with exactly one solution. There are an infinite number of possible equations.

Perhaps one of the simplest is ...

y = x

_____

Together with the given equation, this has the solution ...

x = y = 1/15

3 0

3 years ago

Which expression is equivalent to - 2/5(x+0.8) + 1/50?

Rudik [331]

Answer:

-0.4x - 0.30 or $-\frac{2}{5} - \frac{3}{10}$

Step-by-step explanation:

Change all the fractions to decimals.

-2/5 = -0.4 Distribute that over x and 0.8 1/50 = 0.02

you get -0.4x -0.32 + 0.02

Change all the decimals to fractions.

0.8 is 8/10 so -2/5 times 8/10 is -16/50

-2x/5 - 16/50 + 1/50 add or subtract the fractions to get -15/50 Then reduce (÷5)

-2x/5 - 3/10

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3 years ago

PLEASE PLEASE HELP NOWWW NOWW

lisov135 [29]

Answer:

Step-by-step explanation:

8x-1 = 7x+13

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3 years ago

A bag of chips has 212 servings in it. How many servings of chips are in 8 bags

Jobisdone [24]

Answer:

Step-by-step explanation:

I simplified the fraction into a decimal (2.5) then proceeded to multiply it by 8 to compensate for each bag of chips.

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3 years ago