3 years ago

A, B & C lie on a straight line.

Mathematics

1 answer:

slamgirl [31]3 years ago

6 0

Answer:

x=38

Step-by-step explanation:

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Write an equation of the line that is perpendicular to the line y = 1 2 x + 8 that passes through the point (4,6)

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Answer:

$\large\boxed{y=-2x+14}$

Step-by-step explanation:

$\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=\dfrac{1}{2}x+8\to m_1=\dfrac{1}{2}.\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2.\\\\\text{The equation of the searched line:}\ y=-2x+b.\\\\\text{The line passes through }(4,\ 6).$

$\text{Put thecoordinates of the point to the equation.}\ x=4,\ y=6:$

$6=-2(4)+b\\\\6=-8+b\qquad\text{add 8 to both sides}\\\\b=14$

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d1i1m1o1n [39]

The cash price of the article is 88 cedis.

In this question, the article has a price, but paid in cash, there are two discounts.

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Discount of 10%, thus 1 - 0.1 = 0.9 is paid, that is, the price is also multiplied by 0.9.

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