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suter [353]
4 years ago
14

What is the perimeter of trapezoid JKLM? j -7,4 k -4,4 m -8,3 l -2,3

Mathematics
1 answer:
kompoz [17]4 years ago
8 0
Check the picture below.

you can pretty much just count off the grid the units for JK and MI.

now, let's check how long are KI and JM

\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
K&({{ -4}}\quad ,&{{ 4}})\quad 
%  (c,d)
I&({{ -2}}\quad ,&{{ 3}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
KI=\sqrt{[-2-(-4)]^2+[3-4]^2}\implies KI=\sqrt{(-2+4)^2+(3-4)^2}
\\\\\\
KI=\sqrt{2^2+(-1)^2}\implies KI=\sqrt{4+1}\implies \boxed{KI=\sqrt{5}}\\\\
-------------------------------

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
J&({{ -7}}\quad ,&{{ 4}})\quad 
%  (c,d)
M&({{ -8}}\quad ,&{{ 3}})
\end{array}\qquad 
%  distance value
\\\\\\
JM=\sqrt{[-8-(-7)]^2+[3-4]^2}\implies JM=\sqrt{(-8+7)^2+(3-4)^2}
\\\\\\
JM=\sqrt{(-1)^2+(-1)^2}\implies \boxed{JM=\sqrt{2}}

so, add all sides, and that's the perimeter of the trapezoid.

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Answer:

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Step-by-step explanation:

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  v(x)=\dfrac{x^2-25}{2x^2+13x+15}=\dfrac{(x+5)(x-5)}{(x+5)(2x+3)}\qquad x\notin \{-5,-\dfrac{3}{2}\}

The values x=-5 and x=-3/2 make the denominator of v(x) become 0, so those values are excluded from the domain of v(x). The function is "undefined" when its denominator is zero.

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_____

<em>Additional comment</em>

The numerator and denominator factors (x+5) cancel each other, so there is no vertical asymptote at x=-5. Rather, the function has a "hole" there, where it is undefined. The limit as the function approaches x=-5 from either direction is v(x) = 10/7.

7 0
2 years ago
Two pans of a balance are 31.8 cm apart. The fulcrum of the balance has been shifted 1.06 cm away from the center by a dishonest
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For the two pan to be balanced in other to measure an object's accurate weight, the fulcrum must be exactly in the mid point of the distance/separation between the two pans.

In the case in this question, the dishonest shopkeeper has shifted the fulcrum by 1.06cm.

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4 years ago
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Answer:

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Copy dot flip

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2 years ago
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therefore, x = 59

Step-by-step explanation:

Here,

Mean (m) = 101

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4 0
3 years ago
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