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ElenaW [278]
3 years ago
7

Find the slope of the line that is parallel and perpendicular -7x-2y=4

Mathematics
1 answer:
Rus_ich [418]3 years ago
5 0

\bf -7x-2y=4\implies -2y=7x+4\implies y=\cfrac{7x+4}{-2}\implies y=\cfrac{7x}{-2}+\cfrac{4}{-2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{7}{2}} x-2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{7}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{7}}\qquad \stackrel{negative~reciprocal}{\cfrac{2}{7}}}

now, what's the slope of a line parallel to that one above?  well, parallel lines have exactly the same slope.

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7 is one tenth of what number
Sloan [31]

<u><em>Answer:</em></u>

70


<u><em>Explanation:</em></u>

Assume that the number we are looking for is x

one tenth is interpreted into \frac{1}{10}


Now, we know that one tenth of the number is 7, this means that:

\frac{1}{10} * x = 7


Solve for x by multiplying both sides of the equation by 10, we get:

\frac{1}{10} * x * 10 = 7 * 10

x = 70


Hope this helps :)

5 0
3 years ago
Read 2 more answers
Charles drew a plan for a rectangular piece of
dalvyx [7]

The fourth coordinate of rectangular piece of material is (2.8 , -2.7)

According to the question,

Charles drew a plan for a rectangular piece of material that he will use for a blanket. Three of the vertices are (-1.4, -2.7), (-1.4,3.7), and (2.8,3.7).

As we know , the opposite sides of rectangle are equal

If we locate these coordinates in our graph and join them

Length of rectangle will be = 2.8+1.4 = 4.2cm

Breadth of rectangle will be = 3.7 + 2.7 = 6.4cm

So, the fourth coordinate should lie 6.4cm far from  (2.8,3.7)

Subtracting 6.4 from y-axis,

Fourth coordinate = 3.7 - 6.4

= -2.7

Therefore , The fourth side of rectangle = (2.8 , -2.7)

To know more about Rectangle here

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4 0
1 year ago
2/3xd=10/9 what is d
lisabon 2012 [21]

Answer:d=5/3x

Step-by-step explanation:

Let's solve for d.

(2/3x)(d)=10/9

Step 1: Divide both sides by (2x)/3.

2/3dx / 2x/3=10/9 / 2x/3

d=5/3x

8 0
3 years ago
If the radius of a circle is 75 hundredths of a meter, what is the diameter?
givi [52]
We know that the diameter of a circle is 2 times the radius.

If the radius is 0.75 meters, then the diameter must be 2 x 0.75 meters = 1.5meters 
5 0
3 years ago
The zeroes are quadratic functions<br> are 6 and -4 which of these could be the functons.
LenaWriter [7]

Answer:

6 is the answer of your question

4 0
2 years ago
Read 2 more answers
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