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Bad White [126]
4 years ago
7

The difference of a number and 6 is the same as 5 times the sum of the number and 2

Mathematics
1 answer:
gavmur [86]4 years ago
3 0

Answer:

n - 6 = 5 * ( n + 2 ) ; n = -4

Step-by-step explanation:

For this problem, we will use the words to create an equation.  The left hand side of the equation will be the difference of a number and 6 and the right hand side of the equation will be 5 times the sum of the number and 2.  Hence, we can build the equation:

n - 6 = 5 * ( n + 2 )

If we wanted, we can solve the equation for the number, n.

n - 6 = 5 * ( n + 2 )

n - 6 = 5 * n + 5 * 2

n - 6 = 5n + 10

-16 = 4n

-4 = n

Thus, we have found the missing number to be negative four.

Cheers.

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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
Step2247 [10]

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:

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

Where:

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

OB = cx + dy ====> OB = 4x + 8y

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

AB = 2x  -y

So, we have:

AB = 2x  -y

CD = 4x - 2y

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

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

For AB

m_1 = \frac{-1}{2}

m_1 = -\frac{1}{2}

For CD

m_2 = \frac{-2}{4}

m_2 = \frac{-1}{2}

m_2 = -\frac{1}{2}

By comparison:

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

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zhuklara [117]
<h3>Answer:  x-2y = -8</h3>

===========================================

Explanation:

Multiply both sides by 2 to clear out the fraction

y = (1/2)x+4

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