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Hatshy [7]
3 years ago
12

Over the past month George the turtle has been flipped on his back 150 times by Angie the Tortoise.

Mathematics
1 answer:
lawyer [7]3 years ago
8 0

Answer: 450

Step-by-step explanation:

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Please I'm in urgent need of help. what must be added to make (1/4)x^2-(2/3)xy a perfect square?.​
Ipatiy [6.2K]

Answer:

\bigg(\frac{2}{3}  {y} \bigg)^{2}

STEP BY STEP EXPLANATION

\frac{1}{4}  {x}^{2}  -  \bigg( \frac{2}{3}  \bigg)xy \\  \\  =   \bigg(\frac{1}{2}  {x} \bigg)^{2}  - 2. \bigg(\frac{1}{2}  {x} \bigg)\bigg( \frac{2}{3} y \bigg ) +  \bigg(\frac{2}{3}  {y} \bigg)^{2} \\  \\  = \bigg(\frac{1}{2}  {x}  -  \frac{2}{3} y\bigg)^{2}  \\

To make \red{\bold{\frac{1}{4}  {x}^{2}  -  \bigg( \frac{2}{3}  \bigg)xy}} a perfect square we should add \purple{\bold{\bigg(\frac{2}{3}  {y} \bigg)^{2}}}

8 0
2 years ago
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The perimeter of a rectangular park is 500 feet. The length of the park is 100 feet longer than the width. Find the length of th
lord [1]

Answer:

The length of the park is 175 feet

Step-by-step explanation:

Let us solve the question

∵ The perimeter of a rectangular park is 500 feet

∵ The formula of the perimeter of the rectangle is P = 2(L + W)

∵ L is the length and W is the width

→ Equate the rule of the perimeter by 500

∴ 2(L + W) = 500

→ Divide both sides by 2

∴ L + W = 250 ⇒ (1)

∵ The length of the park is 100 feet longer than the width

→ That means L is W plus 100

∴ L = W + 100 ⇒ (2)

→ Substitute L in (1) by (2)

∵ W + 100 + W = 250

→ Add the like terms

∵ (W + W) + 100 = 250

∴ 2W + 100 = 250

→ Subtract 100 from both sides

∵ 2W + 100 - 100 = 250 - 100

∴ 2W = 150

→ Divide both sides by 2

∴ W = 75

→ Substitute the value of W in (2) to find L

∵ L = 75 + 100 = 175

∴ The length of the park is 175 feet

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3 years ago
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