<span>The general equation of a quadratic is expressed as y = ax^2+bx+c. To
convert the general equation to vertex form, we need to obtain this form:
(y- k)= a(x - h)^2
This could be done by using completing the square method.
</span><span>y = –3x^2 – 12x – 2
</span><span>y + 2 = –3(x^2 + 4x)
</span>y + 2 -12 <span>= –3(x^2 + 4x + 4)
</span>y - 10 = -3(x+2)^2
Therefore, the answer is the first option.
There are three steps:<span>
1.)Rearrange the equation so "y" is on the left and everything else on the right.
2.)Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
<span>
3.)Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).</span></span>
The correct statement is D.
Step-by-step explanation:
Given,
For backyard
Length = 5x-2
Width = 2x+4
For house
Length = 5x-2
Width = 4x-12
For driveway
Length = x+10
Width = 4x-12
To find the correct statement.
Formula
The area of a rectangle = Length × Width
So,
The area of the house and the driveway = (5x-2)(4x-12) + (x+10)(4x-12)
= (4x-12)(5x-2+x+10)
= (4x-12)(6x+8)
=
= 
So, the correct statement is D
You can cross check the other statements.
Answer:
15
Step-by-step explanation:
1- 6-x=9 Place the terms on the correct side; always place terms with x on the left hand side and the others on the right hand side. (when placing on the other side convert from + to - or reversed) (the 6- converted to 6+)
2- x= 6+9= 15 Now work out the sum.
3- x= 15
