is the result of multiplying (3x-1) to the second power and (x+6) to the second power
<h3><u>Solution:</u></h3>
Given that we have to find the result of multiplying polynomials (3x-1) to the second power and (x+6) to the second power
"Second power" means the term is raised to power of 2
Therefore,
We have to multiply 

We can use the algebraic identity to expand the above expression

Applying these in above expression, we get

Multiply each term in first bracket with each term in second bracket

Simplify the above expression

Combine the like terms

Thus the above expression is the result of multiplying (3x-1) to the second power and (x+6) to the second power
Answer:
7 square units
Step-by-step explanation:
Two of the points are on the horizontal line y = -3, so it is convenient to call that the "base" of the triangle. The length of the base is the difference in the x-coordinates of its end points:
b = 3 -(-4) = 7
The height is measured perpendicular to the base, so is the vertical distance from the line y=-3 to the third point. That distance is the difference between -3 and the y-coordinate of point A:
-3 -(-5) = 2
The triangle has a base of length 7 and a height of 2. Its area is ...
A = 1/2bh
A = 1/2(7)(2) = 7 . . . . square units
A.. is the answer! Have a good day/night
Answer:
y = -1/6x + 0
Step-by-step explanation:
Using the equation of line
y_2 - y_1 / x_2 - x_1 = y - y_1 / x_1
Using the information we are provided with
( -3, 0.5)(3 , -0.5)
y_1 = 0.5
x_1 = -3
x_2 = 3
y_2 = -0.5
-0.5 - 0.5 / 3- (-3) = y - 0.5 / x - (-3)
-0.5 - 0.5 / 3 +3 = y - 0.5 / x + 3
-1 / 6 = y - 0.5 / x + 3
Cross multiply
-1(x + 3) = 6(y - 0.5)
Open the brackets
-x - 3 = 6y - 3
-x - 3 + 3 = 6y
-x + 0 = 6y
Divide through by 6 to get y
Following the eqn y = mx + C
-x + 0 / 6 = 6y / 6
y = -x + 0 / 6
We can separate it
y = -x / 6 + 0/6
y = -1/6x + 0
Therefore, the equation of the line is
y = -1/6x + 0