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3 years ago

Two quantities x and y vary directly. Complete the following table. also show you're workings

Mathematics

1 answer:

ANEK [815]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

Using the first 2 values for x and y given in the table, that is

x = 6 when y = 12 and x = 8 when y = 16

We can see that y = 2x or x = 0.5y, thus

Values of y are twice values of x and values of x are half the values of y

The table can then be completed using this information as

x | 6, 8, 9, 12, 16, 18, 20, 24

and

y | 12, 16, 18, 24, 32, 36, 40, 48

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The distance between point Q and point P is 6 1/2 units .Which number could represent point Q?please help me

GalinKa [24]

Answer:

$Q =2\frac{1}{2}$ or $Q =- 10\frac{1}{2}$

Step-by-step explanation:

Given

$P = -4$ --- missing from the question

$Distance = 6\frac{1}{2}$

Required

Determine the possible value of Q

The distance can be calculated using absolute function as:

$Distance = |Q - P|$

Substitute values for distance and P

$6\frac{1}{2} = |Q - (-4)|$

$6\frac{1}{2} = |Q +4|$

The absolute function can then be split as:

$6\frac{1}{2} = Q + 4$ or $-6\frac{1}{2} = Q + 4$

Make Q the subject in both cases:

$Q = 6\frac{1}{2} - 4$ or $Q = -4 - 6\frac{1}{2}$

$Q =2\frac{1}{2}$ or $Q =- 10\frac{1}{2}$

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