Answer:
Yes, It is!
Step-by-step explanation:
The length and width of the rectangle are 7.90 inches and 31.6 inches respectively
It is given that,
Let the length of the rectangle = l
Let the width of the rectangle = w
The perimeter of the rectangle = 250 inches
l x w = 250 ....eq 1
Then,
Length is 4 times as big as width
4l = w
We need to find, the length and width of the rectangle
Putting the value of w in eqn 1
We get,




Similarly, we can get,
w = 4l
w = 4 x 7.90
w = 31.6
Hence, the length and width of the rectangle are 7.90 inches and 31.6 inches respectively
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If you're looking for the solution to the system of equations, here's how we solve using substitution
We know that y = x - 1, so we can plug that into the first equation giving
2x - 3(x-1) = -1
Now distribute the 3 giving 2x - 3x + 3 = -1. After combining like terms we get -x + 3 = -1. Now subtract 3 from both sides, -x = -4, and multiply both sides by -1 to make x positive. x = 4
Now we can plug that into the second equation to get y
y = x - 1, and we know that x = 4, so y = 4 - 1, y = 3. The solution is (4, 3)
Answer:

Step-by-step explanation:
The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:
--------------------(i)
From the question,
the point is (5, 0, -6)
the plane is x + y + z = 6
Therefore,
a = 5
b = 0
c = -6
m = 1
n = 1
t = 1
r = 6
Substitute these values into equation (i) as follows;




Therefore, the shortest distance from the point to the plane is 