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3 years ago

What is the distance between points (5, 5) and (1, 5) on a coordinate plane? units

Mathematics

2 answers:

Alex787 [66]3 years ago

7 0

The answer is 4 units

Hope this helps : )

ozzi3 years ago

3 0

√[(5-1)² + (5-5)²]
√[16+0]
√(16)
+4 or -4 units

I hope this helped :D

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If y is 2.5 when x is 5 and i varies directly with x, find y when x is 14 ?

Anestetic [448]

ANSWER

$y = 7$

EXPLANATION

If y varies directly with x, we write the mathematical statement;

$y \propto \: x$

When we introduce the constant of proportionality k, then we write the equation,

$y = kx$

If y is 2.5 when x is 5,then we have;

$2.5 = 5k$

$k = \frac{2.5}{5}$

$k = 0.5$

The equation of variation then becomes;

$y = 0.5x$

when x=14,

$y = 0.5(14)$

$y = 7$

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The first 5 terms of a sequence are shown below:

nirvana33 [79]

Step-by-step explanation:

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First , find the common difference or common ratio.

Common difference =

$T_2-T_1 \\ - 2 - 3 \\ = - 5$

Common ratio =

$T_2/T_1 \\ \frac{ - 2}{3}$

The common difference applies to the other given numbers for example :

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this proves that it is an arithmetic sequence and the given formula for the nth term of an arithmetic sequence is

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Where n = no of terms

a= first term

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