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asambeis [7]
3 years ago
11

X-3 / 4 = x/2 please shows the steps :)

Mathematics
1 answer:
ELEN [110]3 years ago
4 0

\\ \rm\longmapsto \dfrac{x-3}{4}=\dfrac{x}{2}

\\ \rm\longmapsto 2(x-3)=4x

\\ \rm\longmapsto x-3=\dfrac{4x}{2}

\\ \rm\longmapsto x-3=2x

\\ \rm\longmapsto x-2x=3

\\ \rm\longmapsto -x=3

\\ \sf\longmapsto x=-3

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Find the distance between point P and line ℓ.
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The distance between the line containing the points (0,-3) and (7,4) and the point P(4,3) is d =√2 units.

<h3>What is the distance between a line and a point?</h3>

The distance between the line ax +by +c =0 and the point (x₁, y₁) is given by:

d=\frac{|ax_{1}+by_{1}+c|}{\sqrt{a^2+b^2}}

Given that, the line passes through the points (0,-3) and (7,4).

The equation of the line is given by:

y -(-3)=\frac{4-(-3)}{7-0}(x-0)\\\\y+3=x\\\\x-y-3=0

Now, the distance between the line x - y - 3 = 0 and point (4,3) is:
d=\frac{|1\times4+(-1)\times3+(-3)|}{\sqrt{1^2 +(-1)^2}}\\\\d=\frac{2}{\sqrt{2}}\\\\d=\sqrt{2}

Hence, the distance between the line containing the points (0,-3) and (7,4) and the point P(4,3) is d =√2 units.

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4 0
1 year ago
Which of the following statements demonstrates the associative property of multiplication?
diamong [38]
The last one. I hope I helped!   :)

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3 years ago
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4 years ago
Math question.
Oduvanchick [21]

Answer:

C) 25%

Step-by-step explanation:

let salt be 's'

let water be 'w'

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7 0
2 years ago
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3 years ago
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