X=value of the house before increase
(100%+29%)X=516,000
(129%)X=516,000
1.29x=516,000 | divided by 1.29 both sides
X=400,000$ was the value when it was purchased
Answer:
22 feet
Step-by-step explanation:
6+5+6+5
= 11+11
= 22
EQ. 1: x + y = 8
EQ. 2: 4x-y = 7
Rewrite EQ. 1 as EQ. 3: x = 8-y
Replace x in EQ.2 with EQ. 3:
4(8-y) - y = 7
Use the distributive property:
32 - 4y - y = 7
Combine like terms:
32 - 5y = 7
Subtract 32 from each side:
-5y = -25
Divide both sides by -5
y = -25 / -5
y = 5
Now replace y with 5 in EQ. 3 to solve for X:
x = 8-5
x = 3
The point of intersection is X = 3, Y = 5, which is written as (3,5)
The vertex form needed is :

Given the equation:

The vertex form of
is given by:

Here, (h,k) is the vertex of the parabola equation given.
Conversion will go like this:

This is the resultant vertex form.
Thus the vertex form needed is :

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