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ddd [48]
3 years ago
6

The ratio of boys to girls in a class 4 : 5 A) What fraction of the class are boys

Mathematics
1 answer:
Travka [436]3 years ago
3 0

Answer:

4/9

Step-by-step explanation:

Ratio of boys = 4

Ratio of girls = 5

1. When illustrating ratios in fraction, you add the ratios

   4 + 5 = 9

2. Next you put the boys ratio over the total ratio

     4/9

3. Sometimes it can be reduced to a lower form eg. 5/10 can be reduced to

   1/2.

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Answer:

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Cross mutiply

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Collect like terms

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<u>Divide</u><u> </u><u>both</u><u> </u><u>sides</u><u> </u><u>by</u><u> </u><u>pi</u>

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Which points are coplanar and noncollinear
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Step-by-step explanation:

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3 years ago
Rewrite the equation in vertex form. then find the vertex of the graph. y=-3x^2-5x+1
amm1812

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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Step-by-step explanation:

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