6( x - 4) = 7
6 x - 24 = 7
6 x = 7 + 24
6 x = 31
x = 31/6
6 ( 31/6 - 4) = 7
186/6 - 24 = 7
186/6 = 144/6 = 7
42/6 = 7
7 = 7
A polygon with four sides is known as a quadrilateral.
Quadrilaterals have four sides and four angles as well.
There's many different types of quadrilaterals:
square
rectangle
rhombus
trapezoid
The trapezoid has to meet qualifications to be considered a quadrilateral, such as a pair of parellel lines.
Answer:
![$\[x^2 + 22x + 121\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20121%5C%5D%24)
Step-by-step explanation:
Given
![$\[x^2 + 22x + \underline{~~~~}.\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20%5Cunderline%7B~~~~%7D.%5C%5D%24)
Required
Fill in the gap
Represent the blank with k
![$\[x^2 + 22x + k\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20k%5C%5D%24)
Solving for k...
To do this, we start by getting the coefficient of x
Coefficient of x = 22
<em />
Divide the coefficient by 2
Take the square of this result, to give k
Substitute 121 for k
The expression can be factorized as follows;
<em>Hence, the quadratic expression is </em><em></em>
Answer:
y = -7x + 10
Step-by-step explanation:
Using a point slope form equation
y - y1 = m( x - x1)
Given
Point = ( 1 , 3)
Slope = -7
Insert the values into
y - y1 = m(x - x1)
x1 = 1
y1 = 3
y - 3 = m( x - 1)
m = -7
y - 3 = -7(x - 1)
Using a slope intercept form equation
y = mx + c
Open the bracket
y - 3 = -7x + 7
y = -7x + 7 + 3
y = -7x + 10
The equation of the line is
y = -7x + 10
