W= width
l= 2w= length
Perimeter of a Rectangle Formula
P= 2(l + w)
substitute 2w for l in equation
180= 2(2w + w)
multiply 2 by parentheses
180= 4w + 2w
combine like terms
180= 6w
divide both sides by 6
30 yards= w
LENGTH
2w= 2(30)= 60 yards
CHECK:
180= 30 + 60 + 30 + 60
180= 90 + 90
180= 180
ANSWER: the width is 30 yards and the length is 60 yards
Hope this helps! :)
3x^2-5x-24=0
3x^2-5x=24
x^2-5x/3=8
x^2-5x/3+25/36=8+25/36
(x-5/6)^2=313/36
x-5/6=±√(313/36)
x=5/6±√(313/36)
x=(5±√313)/6
p=(5+√313)/6
q=(5-√313)/6
Answer:
Range
Step-by-step explanation:
In statistics, the range of a set of data is the difference between the largest and smallest value in the distribution. It is calculated by subtracting the lowest value from the highest value. The range shows how widely spread out a set of given data is.
Answer:
Distance of the point from its image = 8.56 units
Step-by-step explanation:
Given,
Co-ordinates of point is (-2, 3,-4)
Let's say



Distance is measure across the line

So, we can write




Since, the equation of plane is given by
x+y+z=3
The point which intersect the point will satisfy the equation of plane.
So, we can write




So,









Now, the distance of point from the plane is given by,






So, the distance of the point from its image can be given by,
D = 2d = 2 x 4.28
= 8.56 unit
So, the distance of a point from it's image is 8.56 units.