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Mrrafil [7]
2 years ago
5

PLEASE HELP!! Compare & Contrast how Completing the Square is used to Convert a quadratic function to vertex form with how i

t is used to Solve a quadratic equation.
Mathematics
1 answer:
Likurg_2 [28]2 years ago
7 0

Answer:

Step-by-step explanation:

Given a general quadratic formula given as ax²bx+c = 0

To generate the general formula to solve the quadratic equation, we can use the completing the square method as shown;

Step 1:

Bringing c to the other side

ax²+bx = -c

Dividing through by coefficient of x² which is 'a' will give:

x²+(b/a)x = -c/a

- Completing the square at the left hand side of the equation by adding the square of half the coefficient x i.e (b/2a)² and adding it to both sides of the equation we have:

x²+(b/a)x+(b/2a)² = -c/a+(b/2a)²

(x+b/2a)² = -c/a+(b/2a)²

(x+b/2a)² = -c/a + b²/4a²

- Taking the square root of both sides

√(x+b/2a)² = ±√-c/a + b²/√4a²

x+b/2a = ±√(-4ac+b²)/√4a²

x+b/2a =±√b²-4ac/2a

- Taking b/2a to the other side

x = -b/2a±√√b²-4ac/2a

Taking the LCM:

x = {-b±√b²-4ac}/2a

This gives the vertex form with how it is used to Solve a quadratic equation.

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Please help and thanks ​
pav-90 [236]

Answer: Bottom left corner

Angle DEC and Angle DEH

=============================================================

Explanation:

I recommend opening your favorite paint program, and using different colors to mark on the drawing as I have done below (see attached image). Note how angle DEC is in red and angle DEH is in blue. The two angles are adjacent, meaning they share the same ray (in this case, ray ED) and they form a straight angle.

Because they form a straight angle, or straight line, this means the two angles are supplementary. Supplementary angles always add to 180.

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%28%20-%203%29%20%7B%7D%5E%7B2%7D%20.%28%20-%203%29%20%20%7B%7D%5E%7B2%7D%20" id="TexFormula1"
liq [111]
The answer is 81. since (-3)^2 is 9. Therefore, 9x9=81.
4 0
2 years ago
Answer plzzz. Tell the truth and answer correctly
Free_Kalibri [48]

Answer:

54 feet

Step-by-step explanation:

We can use proportions

1 inch      27 inches

--------- = ------------

2 feet           x feet

Using cross products

1x = 54

The building is 54 feet

3 0
3 years ago
How many permutations can be formed from all the letters in the word engineering?
laila [671]

Answer:

277,200

Step-by-step explanation:

To find the number of permutation we can form from the letters of the word "engineering", we first need to find the frequencies of the different letters present.

E = 3

G = 2

N= 3

I = 2

R = 1

Now that we have the frequencies, we count the number of letters in the word "engineering".

E N G I N E E R I N G

11 letters

Now we take the factorial of total number of letters and divide it by the number of repeats and their factorial

So we get:

\dfrac{11!}{3!2!3!2!1!}

We remove the 1! because it will just yield 1.

\dfrac{11!}{3!2!3!2!}

So the total number of permutations from the letters of the word "engineering" will be:

Total number of permutations = \dfrac{39,916,800}{144}

Total number of permutations = 277,200

3 0
3 years ago
Can someone help me please with this!
podryga [215]

Microfilament- they are tiny rods that are comprised of actin filaments.

Herbicide- A substance that is toxic to plants, used to destroy unwanted vegetation.

Arthropod- Any of the large group of animals with jointed limbs and a body made up of segments.

8 0
1 year ago
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