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2 years ago

Which perfect square lies between 225 and 289

Mathematics

2 answers:

Sveta_85 [38]2 years ago

8 0

Answer:

${16}^{2} = 256$

Step-by-step explanation:

hope this help

Brilliant_brown [7]2 years ago

7 0

Answer:

256

Step-by-step explanation:

256 is 16 squared.

225 is 15 and 289 is 17.

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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

I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!

artcher [175]

Solution :

1st -

$- 3 \times 5 \times ( - 6) \times 4$
$- 15 \times (- 6) \times 4$
$90 \times 4$
$360$

2nd -

$- 4 \times ( - 6 )\times ( - 3) \times ( - 5)$
$24 \times ( - 3) \times ( - 5)$
$- 72 \times ( - 5)$
$360$

3rd -

$- 3 \times 4 \times ( - 2) \times ( - 7)$
$- 12 \times ( - 2) \times ( - 7)$
$24 \times ( - 7)$
$- 168$

4th -

$- 7 \times ( - 3) \times ( - 9) \times 0$
$21 \times ( - 9) \times 0$
$- 189 \times 0$
$0$

Conclusion - only third choice has negative equivalent value

5 0

1 year ago

Read 2 more answers

Which fraction has the greatest value?<br> 1/15<br> 1/20<br> 1/10

Doss [256]

1/10 has the greatest value

8 0

2 years ago

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Using the equation y = 3x – 5, what would the output be for an input of 4

SSSSS [86.1K]

The input is the x-coordinate and the output is the y-coordinate. If the input is 4, plug 4 into the x variable to find the output, y.

y=3(4)-5
y=12-5
y=7

The output is 7.

8 0

2 years ago

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What are the solutions to this system of equations?

saveliy_v [14]

Answer:

Step-by-step explanation:

The solution is at the points of intersections of the graphs

The graphs intersect at (- 3, 0 ) and (2, 5 ) , then

solutions are (- 3, 0 ) and (2, 5 )

4 0

2 years ago