The distance between two points on the plane is given by the formula below
![\begin{gathered} A=(x_1,y_1),B=(x_2,y_2) \\ \Rightarrow d(A,B)=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D%28x_1%2Cy_1%29%2CB%3D%28x_2%2Cy_2%29%20%5C%5C%20%5CRightarrow%20d%28A%2CB%29%3D%5Csqrt%5B%5D%7B%28x_1-x_2%29%5E2%2B%28y_1-y_2%29%5E2%7D%20%5Cend%7Bgathered%7D)
Therefore, in our case,

Thus,
![\begin{gathered} \Rightarrow d(A,B)=\sqrt[]{(-1-5)^2+(-3-2)^2}=\sqrt[]{6^2+5^2}=\sqrt[]{36+25}=\sqrt[]{61} \\ \Rightarrow d(A,B)=\sqrt[]{61} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5CRightarrow%20d%28A%2CB%29%3D%5Csqrt%5B%5D%7B%28-1-5%29%5E2%2B%28-3-2%29%5E2%7D%3D%5Csqrt%5B%5D%7B6%5E2%2B5%5E2%7D%3D%5Csqrt%5B%5D%7B36%2B25%7D%3D%5Csqrt%5B%5D%7B61%7D%20%5C%5C%20%5CRightarrow%20d%28A%2CB%29%3D%5Csqrt%5B%5D%7B61%7D%20%5Cend%7Bgathered%7D)
Therefore, the answer is sqrt(61)
In general,

Remember that

Therefore,
Answer:
It is 432
Step-by-step explanation:
Equation of a line that is perpendicular to given line is
.
Equation of a line that is parallel to given line is
.
Solution:
Given line
.
Slope of this line,
= 



Slope of perpendicular line, 
Passes through the point (–7, 5). Here
.
Point-slope formula:



Subtract 7 from both sides, we get

Equation of a line that is perpendicular to given line is
.
To find the parallel line:
Slopes of parallel lines are equal.


Passes through the point (–7, 5). Here
.
Point-slope formula:


Subtract 7 from both sides,

Equation of a line that is parallel to given line is
.
The answer is 45. there are 5 sides. each one is 9cm. 9*5= 45.
hope this helps.
Answer:
38,095.24
Step-by-step explanation:
40,000 = P(1 + 0.05)^1
P = 40,000/1.05
P = 38095.2380952