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kakasveta [241]
2 years ago
7

You have $814 that you want to share equally between 5 charities.

Mathematics
1 answer:
kifflom [539]2 years ago
6 0

Answer:

give each charity $60

Step-by-step explanation:

$814 to divide equally to 5 charities.

From 814  if we give   -100,  -100, -100, -100, -100, we have left 314 to split in 5

the most useful next step is to give each charity $60

From $814  if we give   -100, -100, -100, -100, -100

                                         -60, -60, -60, -60, -60  

we have left now:

814 -5*100 -5*60 = 814-500-300 = $14 left to split among the 5 charity.

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Given that OA = 2x + 9y, OB = 4x + 8y and CD = 4x - 2y, explain the geometrical relationships between the straight lines AB and
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Answer:

The geometrical relationships between the straight lines AB and CD is that they have the same slope

Step-by-step explanation:

Given

OA = 2x + 9y

OB = 4x + 8y

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Required

The relationship between AB, CD

Since AB is a straight line and O is the origin, then:

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Where:

OA = ax + by ====> OA = 2x + 9y

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This implies that:

a =2      b = 9     c = 4   d = 8  

So:

AB = (c - a)x + (d - b)y

AB = (4 - 2)x + (8 - 9)y

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So, we have:

AB = 2x  -y

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Calculate the slope (m) of AB\ and\ CD

m = \frac{Coefficient\ of\ y}{Coefficient\ of\ y}

For AB

m_1 = \frac{-1}{2}

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For CD

m_2 = \frac{-2}{4}

m_2 = \frac{-1}{2}

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By comparison:

m_1 = m_2 = -\frac{1}{2}

This implies that both lines have the same slope

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