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Sergio [31]
3 years ago
14

Using the complete the square method, rewrite f(x) = x^2 -6x + 2 in vertex form

Mathematics
1 answer:
Tasya [4]3 years ago
4 0
F(x) = x^2 - 6x + 9 + (2 - 9)    -6/2 = -3.  square -3 = +9.  add  to the squaring portion and subtract it from f(x)

f(x) = (x-3)^2 -7

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Mrs Alivia’s bathroom is in the shape of a rectangle with a width of 6 feet. Her kitchen is in the shape of a rectangle with a w
Vedmedyk [2.9K]

Answer:

1. The length of the bathroom is equal to its width.  FALSE

2. Equation 2(x+6)=29 can be used to find the length of the bathroom, x.

TRUE

3. The legend of the bathroom is 11.5 feet.  FALSE

4. The equation 2 x+6=29 can be used to find the length of bathroom, x.

FALSE

5. The length of the bathroom is 8.5 feet. TRUE

Step-by-step explanation:

Here, given:

The width of the bathroom = 6 feet

The width of the kitchen = 10.75 ft

The perimeter of the bathroom = 29 feet

Let us assume the length of the bathroom =  k units

PERIMETER OF A RECTANGLE = 2 ( LENGTH + WIDTH)

Now, for the Mrs Avila's bathroom

29 feet  = 2 (k + 6)

⇒ 29  = 2k + 12

or, 2 k =  29 - 12 = 17

⇒ k = 17/2  = 8.5 feet

So, the length of the bathroom = 8.5 units

Now, let us consider the given statements:

1. The length of the bathroom is equal to its width.  FALSE

As here, Length= 8.5 units and width =   6 units

2. Equation 2(x+6)=29 can be used to find the length of the bathroom, x.

TRUE

3. The legend of the bathroom is 11.5 feet.

FALSE, the length of the bathroom is 8.5 units.

4. The equation 2 x+6=29 can be used to find the length of bathroom, x.

FALSE, the correct equation that can be used is  2x + 12  = 29

5. The length of the bathroom is 8.5 feet.

TRUE

5 0
3 years ago
Joyce paid $230 for an item at the store that was 20% off the original price. What was the original price?
Svetradugi [14.3K]

Answer:

250

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
An osprey flying horizontally 100 feet above a lake spots a fish below. It tilts its flight path downward by 45°. If the osprey
Ierofanga [76]

Answer: the rate at which its altitude is changing is -47 ft/s

Step-by-step explanation:

Given that;

ds/dt = 45 mph =  45 × 5280/3600 = 66 ft/sec

no we have to determine dx/dt

so

cos∅ = dx/dt / ds/dt

cos45° = dx/dt / 66  

dx/dt = 0.7071 × 66

dx/dt = 46.6686 ≈ 47 ft/s ( as altitude is decreasing, its negative - )

so the rate at which its altitude is changing is -47 ft/s

 

7 0
3 years ago
There are 24 pictures on a roll of film. Adelle had 84 pictures from her trip home. She said that 12 other pictures were spoiled
Anna71 [15]

Answer:

Total pictures = 84+12 = 96

roll of films = 96 / 24 = 4

she used 4 rolls

7 0
2 years ago
Need help idk how to slove this
Gemiola [76]

Hi!

I'm not sure how to slove this, but I do know how to solve it ;D

<h3>We can't know the exact value of y, but we can isolate y on one side. First, multiply by z on both sides. </h3>

\frac{x+y}{z*z}=3*z

x + y = 3 * z

<h3>Now subtract x from both sides.</h3>

x - x + y = 3 * z - x

<u>y = 3 * z - x</u>

<h2>The answer is y = 3 * z - x</h2>

Hope this helps! :)

-Peredhel

8 0
3 years ago
Read 2 more answers
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