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TiliK225 [7]
3 years ago
9

A rectangle has an area of 235.2m squared. One of the sides is 2.8m in length. work out the perimeter of the rectangle, please?

Mathematics
1 answer:
ehidna [41]3 years ago
6 0

<u>Answer:</u>

<h2>P = 173.6 m</h2>

<u>Steps:</u>

given:

A = 235.2 m²

S1 = 2.8 m

S2 = A/S1

S2 = 235.2/2.8

<u>S2 = 84 m</u>

P = 2(S1+S2)

P = 2(2.8+84)

P = 2 × 86.8

P = 173.6 m

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Rewrite the equation in vertex form. then find the vertex of the graph. y=-3x^2-5x+1
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Answer: y = -3(x + \frac{5}{6})² + \frac{37}{12}, (-\frac{5}{6}, \frac{37}{12})

<u>Step-by-step explanation:</u>

First, you need to complete the square:

y   = -3x² - 5x + 1

<u> -1  </u>   <u>                -1  </u>

y - 1 = -3x² - 5x

y - 1 = -3(x² + \frac{5}{3}x

y - 1 + -3(\frac{25}{36}) = -3(x² + \frac{5}{3}x + \frac{25}{36})

           ↑                     ↓            ↑

                                  \frac{5}{3*2} = (\frac{5}{3*2})^{2}

y - 1 - \frac{25}{12} = -3(x + \frac{5}{6})²

y - \frac{12}{12} - \frac{25}{12} = -3(x + \frac{5}{6})²

y  - \frac{37}{12} = -3(x + \frac{5}{6})²

y = -3(x + \frac{5}{6})² + \frac{37}{12}

Now, it is in the form of y = a(x - h)² + k   <em>where (h, k) is the vertex</em>

Vertex = (-\frac{5}{6}, \frac{37}{12})

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