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aalyn [17]
2 years ago
5

Tell whether the lines through the given points are parallel, perpendicular, or neither.

Mathematics
1 answer:
ira [324]2 years ago
7 0

Answer: Line 1: (2, 3) , (4, 12)

m = (12 - 3)/(4 - 2) = 9/2  This is the slope of the line

y = (9/2)x + b

3 = (9/2)(2) + b

3 = 9 + b

b = -6

y = (9/2)x  - 6

 

Line 2: (5, 10) , (14,8)

m = (8 - 10)/(14 - 5) = -2/9

this slope is the opposite sign, and inverse of the first equation's slope.  Therefore, the line is perpendicular.

y = mx + b

8 = (-2/9)(14) + b

8 = -28/9 + b

11.11 = b

y = (-2/9)x + 11.11

Step-by-step explanation: Hope this helps :)

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3 years ago
Is -0.3 with the line over the 3, a rational, irrational number or integer?​
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3 years ago
If y varies directly with x, the constant of variation is . The equation representing this relationship is . What is the value o
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Y~x

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Step-by-step explanation:

Y~ x

Y = k × X

Since the question isn't complete,we are going to assign figures to complete this very question and move on to other things and you can as well solve questions that are similar to this ones.

Now let's assume that the question says that is 6 when x is 3,what is y when x is 11.

To solve this question above,we need to find the constant of variation which will then enable us to know what y is when x is 11

Y~ x

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When y is 6 and x is 3,k will be

6 = 3k

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Now when k is 2,x is 11,y Will then be

Y = kx

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With this procedure,one can find any value of x or y when they have the constant of variation.

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8 0
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Find the measure of each interior angle
diamong [38]
\bf \textit{sum of all interior angles of a polygon}\\\\
180(n-2)\quad 
\begin{cases}
n=\textit{number of sides}\\
---------\\
n=10
\end{cases}\implies 180(10-2)\implies 1440\\\\
-------------------------------\\\\
\begin{array}{lclll}
&x + 5\\&x + 10\\&x + 20\\&x + 30\\&x + 35\\&x + 40\\&x + 60\\&x + 70\\&x + 80\\+&x + 90\\
&----\\
&10x+440
\end{array}\implies 
\begin{array}{llll}
10x+440=1440
\\\\\\
10x=1000
\\\\\\
x=\cfrac{1000}{10}\implies x=100
\end{array}

so.. to get every angle, simply plug in 10 for "x" for each.
3 0
2 years ago
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