Answer: 1) Perpendicular
2) Concurrent
Step-by-step explanation:
The distance from a point to a line is the length of the perpendicular segment from the point to the line.
As Perpendicular segment is the shortest distance to the point of the line.
When three or more lines intersect at one point, they are concurrent.
Because Concurrent is a situation when three or more lines intersect each other at a single point.
Answer:
The standard form as 
Step-by-step explanation:
Given: A function which is written in vertex form or intercept form.
We have to re-write it in standard form that in terms of
Given 
Squaring using 
, we get,
Multiply 5 inside , we get,
Solving further , we get,
Thus , we have obtained the standard form as
The area of a rectangle is easy to compute.
Area = length times height
Area = 8 cm * 4 cm = 32 square centimeters
The answer you are looking for is
The above statement is true meaning cos(π/₂-x)=sin(x)
Step-by-step explanation:
We know that sine and cosine function are mutual cofunctions.
Hence this would mean that these two functions are complimentary of each other meaning cos(π/₂-x) = sin(x)
This can be verified mathematically by assuming “x” as 30°
Hence Cos (π/₂-30°) = cos 60°= 0.5 (from trigonometric table values)
Similarly Sin 30°= 0.5 (from trigonometric table values)
This can be proved through using the formula
Cos(A-B)= Cos A.Cos B + Sin A.Sin B
Here A=90° and b=x°
Putting the values we get (it is to be remembered that cos 90°=0 and sin 90°=1)
Cos 90°.cos x+ sin 90.sin x
0+sinx= sinx
Hence it is proved that cos(π/₂-x)=sin(x)
