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just olya [345]
3 years ago
9

Consider the first five steps of the derivation of The Quadratic function

Mathematics
1 answer:
Burka [1]3 years ago
7 0

Answer:

Step-by-step explanation:

  • pick like terms

x² +  b²/4a² = -c / a + b²/4a²

  • b²/4a² = (b/2a)²

x² + (b/2a)² = -c/a + (b/2a)²

(x + b/2a)² = -c/a + (b/2a)² =  -c / a + b²/4a² = (-4ac+ b²)/4a²

(x + b/2a)² =  (-4ac+ b²)/4a²

  • square root both sides

√{(x + b/2a)²} = √{(-4ac+ b²)/4a²}

x + b/2a = √(-4ac+ b²) / √(4a²) = √(-4ac+ b²) / 2a = √( b²-4ac) / 2a

x + b/2a  =  √( b²-4ac) / 2a

  • subtract b/2a from both sides

x + b/2a -b/2a  =  {√( b²-4ac) / 2a } -b/2a

x = -b/2a +   {√( b²-4ac) / 2a }

  • the l.c.m is the same

x = {-b±√( b²-4ac)}/2a

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Alejandra's Tapas Bar offers a menu consisting of $9$ savory and $5$ sweet dishes. You can also get a mix-and-match plate consis
Mariana [72]

Answer:

45

Step-by-step explanation:

Given that the number of savory dishes is 9 and the number of sweet dished is 5.

Denoting all the 9 savory dishes by p_1, p_2,...,p_9, and all the sweet dishes by q_1,q_2,...,q_5.

The possible different mix-and-match plates consisting of two savory dishes are as follows:

There are 9 plates with q_1 from sweet plates which are (q_1, p_1), (q_1, p_2), ..., (q_1,p_9).

There are 9 plates with q_2 from sweet plates which are  (q_2, p_1), (q_2, p_2), ..., (q_2,p_9).

Similarly, there are 9 plated for each q_3, q_4 and q_5.

Hence, the total number of the different mix-and-match plates consisting of two savory dishes

= 9+9+9+9+9= 9\times5=45

7 0
3 years ago
Find the next three terms of the sequence. Then write a rule for the sequence.
g100num [7]
We notice it diviides by 3 each time or multiplies by 1/3
common ratio is 1/3
first term is 648

so next 3 terms are 8, 8/3, and 8/9

rule is an=648(1/3)^(n-1)
8 0
3 years ago
What is 546 divided by 25 in long division
Phantasy [73]
    ·_21.21
25l546.     25 goes into 54 twice with a remainder of 4
    l50↓
    -----
    l 46      25 goes into 46 once with 21 left
    l 25
   ------
      21
8 0
3 years ago
Here is the question !
Delvig [45]

Answer:

Step-by-step explanation:

Co-ordinates of F, G and H are:

F (-4, 5)

G (1, 10)

H (-9, 10)

You can find the lengths of sides by using the distance formula:

<em>length</em>(FG) = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}} = \sqrt{(1-(-4))^{2} + (10-5)^{2}} = 5\sqrt{2} units

Similarly,

<em>length</em>(GH) = 10 units

<em>length</em>(HF) = 5\sqrt{2} units

Hence, perimeter will be:

P = <em>length</em>(FG) + <em>length</em>(GH) + <em>length</em>(HF) = 10(\sqrt{2} + 1) units

3 0
3 years ago
I need help on this question
Dima020 [189]
I think the answer is 10 i am not sure

4 0
3 years ago
Read 2 more answers
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