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2 years ago

4x - 9 + 23x in the simplest form

Mathematics

2 answers:

Damm [24]2 years ago

8 0

Answer:

Step-by-step explanation:

4x - 9 + 23x

Combine like terms

4x+23x -9

27x -9

oksano4ka [1.4K]2 years ago

4 0

Simplest form is combining all the like terms.

4x + 23x = 27x

Then you have -9

Simplest form = 27x -9

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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

3 years ago

13/26 = x/24 solve for x <br> PLEASE ANSWER

EastWind [94]

Answer:

x= 12

Step-by-step explanation:

hope this helps!!

3 0

2 years ago

How is the answer 2.7

Darya [45]

Answer:

2.7

Step-by-step explanation:

Its 2.7 because if you use the calculator app on your phone or a calculator you can see that you use .09 30 times. that's why I reccomend a calculator. Or you can try cross multiplication.

3 0

3 years ago

Laura, David, and Carlos served a total of 115 orders Monday at the school cafeteria. David served 3 times as many orders as Car

Korvikt [17]

Answer:

Step-by-step explanation: ts 6 11 19 56

Laura, David, and Carlos served a total of 115 orders

David served 3 times as many orders as Carlos. David = 3x

Laura served 10 more orders than Carlos. let Carlos = x

How many orders did they each serve? Laura = x + 10

Carlos + David + Laura = 115

x + 3x + x+10 = 115

5x + 10 = 115

5x = 115 - 10

5x = 105

x = 21 Carlos

63 Davide

31 Laura

add then up 115 Total

4 0

3 years ago

Geoff has d donuts. The amount of bagels he has is 3 less than 4 times the amount of donuts.

bazaltina [42]

Bagels = 4d - 3

Four times means 4d and you subtract 3 because Geoff has three less than 4 times.

4 0

3 years ago