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PtichkaEL [24]
3 years ago
10

What is the value of h when the function is converted to vertex form? Note: Vertex form is h(x)=a(x−h)^2+k . h(x)=x^2−8x+14 Ente

r your answer in the box.
Mathematics
2 answers:
tamaranim1 [39]3 years ago
6 0

Answer:

Correct answer is: h(x) = (x - 4)² - 2

Step-by-step explanation:

Given:

h(x) = x² - 8x + 14 = x² - 2 · x · 4 + 4² - 4² + 14 = (x - 4)² - 16 + 14 = (x - 4)² - 2

h(x) = (x - 4)² - 2

God with you!!!

victus00 [196]3 years ago
6 0

Answer:

h = 4  

Step-by-step explanation:

Step-by-step explanation:

The <em>standard form</em> of a quadratic function is  

y = ax² + bx + c

Your function is

h(x) = x² − 8x + 14

a = 1; b = -8; c = 14

The <em>vertex form</em> of a parabola is

y = a(x - h)² + k

where (h, k) is the vertex of the parabola.

h = -b/(2a) and k = f(h)

Calculate h

h = -(-8)/(2×1)

  =      8/2

 =        4

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Anna35 [415]

Answer:

w+5=7

Step-by-step explanation:

6 0
4 years ago
A file that is 284 megabytes is being downloaded. If the download is 12.4% complete how many megabytes have been downloaded?
Iteru [2.4K]

Answer:

I guess its 35.216 megabytes

4 0
4 years ago
The city park is a square of land woth an area of 10,000 m^2. What is the length of the fence that encloses the park ?​
Mekhanik [1.2K]

Answer:

The length of the fence that encloses the park is 400 m

Step-by-step explanation:

step 1

Find the length of the square city park

we know that

The area of a square is

A=b^2

where

b is the length side of the square

we have

A=10,000\ m^2

substitute and solve for b

10,000=b^2

take square root both sides

b=100\ m

step 2

Find out the length of the fence that encloses the park

we know that

The length of the fence is equal to the perimeter of the square city park

The perimeter of the square is

P=4b

we have

b=100\ m

substitute

P=4(100)=400\ m

therefore

The length of the fence that encloses the park is 400 m

5 0
3 years ago
HELP WILL GIVE BRAINLIEST
nadezda [96]

Answer:

\frac{x^{2} }{1} +\frac{y^{2} }{2}=1

Step-by-step explanation:

The directrices of an ellipse are defined by

x=(+-)\frac{a}{e}

Where a >b, and e is the eccentricity defined by e=\frac{c}{a}

So, in the first choice, we have the equation

\frac{x^{2} }{4}+\frac{y^{2} }{1} =1

Where a^{2}=4 and b^{2}=1, which means a=2 and b=1.

In an ellipse, we have the relation

c^{2}=a^{2}-b^{2}

Replacing values, we have

c^{2} =4-1=3\\c=\sqrt{3}

So, the eccentricity is e=\frac{\sqrt{3} }{2} and the directrices are x=(+-)\frac{2}{\sqrt{3} }, which means the first choice is not the right answer. In other words, the right answer is the second choice, because third and fourth choices don't represent an ellipse, both fractions must be positive in that case.

Therefore, the right answer is

\frac{x^{2} }{1} +\frac{y^{2} }{2}=1

3 0
4 years ago
Rectangular prism surface area
gayaneshka [121]
Well to find the area you do Length * Width * Height, so it should be 150
6 0
3 years ago
Read 2 more answers
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