Answer:
x = 1
Step-by-step explanation:
Well the first step is to apply the distributive property:
4(3x - 1) is equal to (12x - 4). You DISTRIBUTE a '4' to what is inside the parentheses.
And btw, to make it easier, you can make 9 - x so that x is first. For example, (-x + 9). They're both the same thing, just written differently.
Your new equation is 12x - 4 = -x + 9. You want to now solve the equation.
Add the (-x) to both sides. It cancels out on the right side and you add it to 12x on the left side.
[If there's no number in front of a variable, you can always just put 1 in order to make it easier]
12x + 1x = 13x. Your new equation is 13x - 4 = 9. This should look very familiar. You simply add 4 to both sides. 9 + 4 = 13
Finally, 13x = 13. Divide 13 ÷ 13 to get 1.
x = 1
As it has a maximum value the coefficient of x^2 will be negative
The vertex will be at (-8,2) so in vertex form it is
y = a(x + 8)^2 + 2
and as it passes through (-7,-1) we have:
-1 = a(-7+8)^2 + 2
-1 = a + 2 so a = -3
answer is y = -3(x + 8)^2 + 2
in standard form this is y = -3x^2 -48x - 190
The product would expand to
This is a trinomial, and the only way to make it a binomial is to cancel out a coefficient using our variable 
.
So, we can cancel either the linear term or the constant term.
In the first case, we require
In the second case, we require
But must be a non-zero rational number, so this solution is not feasible.
Being that the triangle has a center of dilation at (0,0) you must contract the points towards (0,0). The scale factor is 1/3 so you must divide the difference in location of the points on the X and Y axis by a scale of 1/3.
1/3 of 9 = 3 , y = 3
1/3 of -6 = -2 , x = -2
by changing these points a new triangle will be formed
Okay, start with the smaller square, you know the side length is 3 and that the width is 5, multiply this together:
3 * 5 = 15
That's the smaller left side of this shape, now the bigger side, divide the 10 yards at the bottom by 2 to properly represent the other side then multiply this by the 6 over there.
5 * 6 = 30
Conclusion for Area: After adding the results the answer should be 45.
The perimeter is solely adding all the sides together. You have a 10, two 5's, one 6, and two 3's. Add this together:
10 + 5 + 5 + 6 + 3 + 3 = 32
Conclusion for Perimeter: So the perimeter would be 32.
I hope this helps in someway, have a great rest of your day! ^ ^
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