$\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ -3 &,& -4~) 
% (c,d)
&&(~ -8 &,& 1~)
\end{array}\\\\\\ % distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{[-8-(-3)]^2+[1-(-4)]^2}\implies d=\sqrt{(-8+3)^2+(1+4)^2}
\\\\\\
d=\sqrt{25+25}\implies d=\sqrt{2\cdot 25}\implies d=\sqrt{2\cdot 5^2}\implies d=5\sqrt{2}$

4 0

2 years ago

Read 2 more answers

In the diagram of circle A, what is m∠LMN?

vagabundo [1.1K]

we know that

The measurement of the external angle is the semi-difference of the arcs which includes

m∠LMN= $\frac{1}{2}(270\°-90\°)=90\°$

therefore

the answer is $90\°$

3 0

3 years ago

Read 2 more answers

The equation x = 6 represents a vertical line. True or false

Airida [17]

True, as for any line $x=a$

7 0

3 years ago

Read 2 more answers

How do I do this? Im stuck on what to do

Nastasia [14]

CD and DE are equal distance so their equations are equal:
2x+7 = 4(x-3)
2x+7 = 4x-12
Subtract 2x from both sides
7 = 2x-12
Add 12 to both sides
19 = 2x
9.5 = x
Now that u have x just plug it into the equation for DE
4(9.5-3)
38-12
26 is the answer

6 0

3 years ago