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9966 [12]
3 years ago
12

How do i write an equation in vertex form?

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
8 0

Answer:

Step-by-step explanation:

1) Vertex form of a quadratic equation is y=a(x-h)2+k, where (h,k) is the vertex of the parabola.

2) The vertex of a parabola is the point at the top or bottom of the parabola.

3) 'h' is -6, the first coordinate in the vertex.

4) 'k' is -4, the second coordinate in the vertex.

5) 'x' is -2, the first coordinate in the other point.

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Farmer Emmet used to own 2,300 acres of farmland. However, he recently sold 28% of his farm to a residential developer.
kap26 [50]

9514 1404 393

Answer:

  1. 1656 acres left
  2. 644 acres sold
  3. $32,200,000

Step-by-step explanation:

1. The number of acres sold is ...

  28% × 2300 = 0.28 × 2300 = 644

Then the number of acres Emmet has left will be ...

  2300 -644 = 1656 . . . acres left

__

2. Emmet sold 644 acres.

__

3. At $50,000 per acre, the value of the land sold was ...

  $50,000 × 644 = $32,200,000 . . . . paid by the developer

5 0
2 years ago
Has a slope of 2 and goes through (5,1)
Slav-nsk [51]

Answer:

y = 2x - 9

Step-by-step explanation:

y= mx + b

plug in slope

y = 2x + b

plug in points

1 = 2 (5) + b

simplify

1 = 10 + b

subtract 10 each side

-9 = b

plug in to original equation

y=2x - 9

8 0
2 years ago
Find the equation of the line with slope 1/3 and y interception (0,-2)
Andreyy89

Answer:

y=(1/3)x-2

Step-by-step explanation:

Plug into equation of y=mx+b

y=(1/3)x-2

6 0
3 years ago
The currency in switzerland is called a franc. On a certain day, one U.S. dollar equaled 1 1/4 swiss france. Write and solve a m
Rufina [12.5K]

Answer:

<u>The equation is x = y * 4/5  and US$ 12 would equal 15 Swiss Francs</u>

Step-by-step explanation:

<u>1. Let's review all the information provided for solving this question:</u>

1 US$ equivalent to 1 1/4  Swiss Franc

2. Let's write and solve a multiplication equation to find the amount  of US$ that would equal 15 Swiss Francs

x = Amount of US$ equivalent

y = Amount of Swiss Francs

x = y /1.25

x = y / 5/4 (1.25 = 5/4)

<u>x = y * 4/5</u>

Now, let's replace with the real values:

x = 15 * 4/5

x = 60/5

<u>x = 12</u>

<u>US$ 12 would equal 15 Swiss Francs</u>

6 0
3 years ago
How do you do the equation a2 + ab + ac + bc ?
Artist 52 [7]
The answer to the question

7 0
3 years ago
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