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gizmo_the_mogwai [7]
4 years ago
11

A line contains the points (1,-6) and (-2,6) what is the slope of a line that is perpendicular to this line

Mathematics
1 answer:
Wewaii [24]4 years ago
6 0

well, let's first find the slope of "this" line hmmmmm what would that be?


\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad  (\stackrel{x_2}{-2}~,~\stackrel{y_2}{6}) \\\\\\ slope =  m\implies  \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-(-6)}{-2-1}\implies \cfrac{6+6}{-2-1} \\\\\\ \cfrac{12}{-3}\implies -4


\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-4\implies -\cfrac{4}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{1}{4}}\qquad \stackrel{negative~reciprocal}{+\cfrac{1}{4}}}\implies \cfrac{1}{4}

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Each shape is 1 whole. What fraction is represented by the shaded part of the model?
lubasha [3.4K]

Answer:

\frac{2}{1}

Step-by-step explanation:

Each shape is 1 whole.

In the given image, there are 4 parts in each shape.

The shaded part in the first shape is 4.

The fraction of the shaded part in the first shape

                                            =\frac{Number of shaded part}{Total part of the fraction}=\frac{4}{4}

The shaded part in the second shape is 4.

The fraction of the shaded part in the second shape

                                           =\frac{Number of shaded part}{Total part of the fraction}=\frac{4}{4}

The shaded part of the model =\frac{4}{4}+\frac{4}{4}

                                                  =\frac{1}{1}+\frac{1}{1}

                                                  = \frac{2}{1}

Hence, the fraction represented by the shaded part of the model is \frac{2}{1}.

5 0
3 years ago
A, B & C form a triangle where ∠ BAC = 90°. AB = 13.5 mm and CA = 3.2 mm. Find the length of BC, giving your answer rounded
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Answer:

13.9

Step-by-step explanation:

Use Pythagorean Theorem:

Both of the lengths given are the legs,

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192.49 = c^2

13.87 = c

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Answer:

one on the left is p=139. one on the right is p=117 I believe this is the right answers if not then I'm sorry

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3 years ago
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