Answer:
Length: 30
Width: 25
Height: 5
Answer:
(-2, -4.5)
Step-by-step explanation:
Answer:
You need to have a minimum of 16 inches of clearance.
Step-by-step explanation:
Option A
-x + 6y = 42 is the standard form
<u>Solution:</u>
Given that we have to write
in standard form
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers
Given equation is:
![y = \frac{1}{6}x+7](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B6%7Dx%2B7)
Let us convert the above equation into standard form
![y = \frac{x}{6} + 7](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%7D%7B6%7D%20%2B%207)
![y = \frac{x}{6} + \frac{7}{1}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%7D%7B6%7D%20%2B%20%5Cfrac%7B7%7D%7B1%7D)
Make the denominator same in R.H.S
![y = \frac{x}{6} + \frac{7 \times 6}{1 \times 7}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%7D%7B6%7D%20%2B%20%5Cfrac%7B7%20%5Ctimes%206%7D%7B1%20%5Ctimes%207%7D)
Solve the above equation
![y = \frac{x}{6} + \frac{42}{6}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%7D%7B6%7D%20%2B%20%5Cfrac%7B42%7D%7B6%7D)
![y = \frac{x+42}{6}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%2B42%7D%7B6%7D)
Move 6 from R.H.S to L.H.S
![6y = x + 42](https://tex.z-dn.net/?f=6y%20%3D%20x%20%2B%2042)
Bring all the terms to one side, leaving only constant on R.H.S
![-x + 6y = 42](https://tex.z-dn.net/?f=-x%20%2B%206y%20%3D%2042)
The above equation is of form Ax + By = C
Thus option A is correct
Answer:
The real part is 2
The imaginary part is -5
Step-by-step explanation:
A complex number consists of a real part and an imaginary part. For example given the complex number z = x+it
x is the real part of the complex number z i.e Re(z) = x
Imaginary part of the complex number z is y i.e Im(z) = y.
Note that the real part are on the x axis of a graph while the y axis is the imaginary axis attached to the complex notation i
Given the complex number 2-5i
Comparing 2-5i to x+iy
x= 2 and y = -5
The real part is 2 (value that is not attached to the complex notation)
The imaginary part is 5(value attached to the complex notation)