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polet [3.4K]
3 years ago
11

How to find vertex form

Mathematics
1 answer:
Nikolay [14]3 years ago
7 0
Y = x^2 - 6x + 7
a = 1
b = -6
c = 7

Before you get the A.O.S, you must first solve for the vertex.
The vertex formula is \frac{-b}{2a} 

Plug in the numbers:
-(-6) / 2(1)
--6 = 6 and 2*1 = 2
6/2
Vertex (or x) = 3

Now you have to plug in the x in order to find the vertex (or y)
Your equation should now look like this;
y = (3)^2 - 6 (3) +7
Solve each part separately and then add it up...

3^2 = 9
-6 * 3 = -18
+7

9 - 18 + 7
A.O.S (or y) = -2

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What is the distance between the points (18, 39) and (3, 39) in the xy-plane?
nydimaria [60]

Answer:

C. 15 units,

Step-by-step explanation:

The y coordinates are both 39 so the line joining the 2 points is a horizontal line.

Distance = 18-3 = 15.

8 0
3 years ago
Pool #1 is a rectangle that is 14 feet wide. The length is (14– 8)2ft.
kap26 [50]

Answer: the length is 6 feet. The width is 2 feet

Step-by-step explanation:

The garden pool is rectangular in shape.

Let L represent the length of the rectangular garden.

Let W represent the width of the rectangular garden.

The area of a rectangle is expressed as L× W. The area of the rectangular garden pond is 12ft^2. It means that

L× W = 12 - - - - - - - - - - 1

The length of the pool needs to be 2ft more than twice that width. This means that

L = 2W + 2 - - - - - - - - - - - 2

Substituting equation 2 into equation 1, it becomes

W(2W + 2) = 12

2W^2 + 2W = 12

2W^2 + 2W - 12 = 0

W^2 + W - 6 = 0

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W(W + 3) - 2(W + 3) = 0

W - 2 = 0 or W + 3 = 0

W = 2 or W = - 3

Since the Width cannot be negative, then the width is 2 feet

Substituting W = 2 into equation 2. It becomes

L = 2×2 + 2 = 6 feet

8 0
3 years ago
Can anyone please solve this and tell me if it's correct please
NikAS [45]

Answer:

Q1. 15
Q2. You're correct
Q3. 3.60
Q4. 2  Correct

Step-by-step explanation:

3 0
2 years ago
Using the graph, choose the correct formula for the function g.
serious [3.7K]
The graph scale is 0.5.
g(x) is 3 units lower than f(x). How do we find this?
A isn't correct because then g(x) would be 1 <em>above</em> f(x).
C isn't correct either because that would mean that g(x) is f(x) moved 1 over to the left.
D isn't correct because that would mean g(x) is f(x) moved 3 to the right.
B is correct because it means that g(x) is f(x) moved down 3 units.
I got B, but it is always helpful to double check work. Hope this helps!
4 0
4 years ago
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What in the times tables equal 48?
babymother [125]
2,3.4,6,7,8. I think that's it from 2-10.
8 0
3 years ago
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