1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
I need help pls I need it for school thank uu
Effectus [21]
C is the answer for sure I think
7 0
2 years ago
PLZ HELP ASAP DIVIDE LINE SEGMENTS
Yuri [45]
A (4,8)  and   b (7,2)   and   let  c (x,y)

A , B and C are col-linear ⇒⇒⇒ ∴ slope of AB = slope of BC
slope of AB = (2-8)/(7-4) = -2
slope of BC = (y-2)/(x-7)
∴ (y-2)/(x-7) = -2
∴ (y-2) = -2 (x-7)    ⇒⇒⇒ equation (1)

<span>The distance between two points (x₁,y₁),(x₂,y₂) = d
d = \sqrt{ (x2-x1)^{2} + (y2-y1)^{2} }</span>


The ratio of AB : BC = 3:2
AB/BC = 3/2
∴ 2 AB = 3 BC
2 * \sqrt{ (7-4)^{2} + (2-8)^{2} } = <span>3* \sqrt{ (x-7)^{2} +(y-2)^{2} }
eliminating the roots by squaring the two side and simplifying the equation
∴ 4 * 45 = (x-7)² + (y-2)²  ⇒⇒⇒ equation (2)
substitute by (y-2) from equation (1) at </span><span>equation (2)
4 * 45 = 5 (x-7)²
solve for x
∴ x = 9  or  x = 5
∴ y = -2 or  y = 6

The point will be (9,-2)  or   (5,6)
the point (5,6) will be rejected because it is between A and B

So, the point C = (9,-2)

See the attached figure for more explanations
</span>


5 0
2 years ago
When buying snacks for her classroom, Ms. Davis bought 4 bags of mixed nuts and 8 bags of pretzels. A bag of pretzels costs $1.5
vfiekz [6]

Answer:

C

Step-by-step explanation:

The snacks altogether (Pretzels and Nuts) cost 57 dollars.

3 0
3 years ago
Read 2 more answers
What is the volume of the cone to the nearest tenth?
nika2105 [10]
I'm pretty sure that the volume is 1520.5

Hope this helps you out Superme485!
6 0
3 years ago
If you had a slope of 3 and a y-intercept of 2, the equation should be
Lady bird [3.3K]

Answer:

y=3x+2

Step-by-step explanation:

There is enough information to make a equation in slope-intercept form.

y=mx+b

'm' is the slope. 'b' is the y-intercept.  

In the given question, 3 is the slope and 2 is the y-intercept. This means that:

m = 3

b = 2

Plug in the appropriate values:

y=mx+b\rightarrow\boxed{y=3x+2}

Hope this helps.

7 0
3 years ago
Other questions:
  • Covert 47 degrees Fahrenheit to celsius
    6·1 answer
  • HEEEEEEEELP ASAP 30 POINTS!!!!!!!!!!!
    13·2 answers
  • Using the greatest common factor for the terms, how can you write 56 + 32 as a product?
    7·1 answer
  • In the figure below, the segment that appears to be tangent to the circle is tangent to the circle. Which of the following is th
    14·1 answer
  • I need to know what is 20% of 65
    8·2 answers
  • The perimeter of a rectangle is 58 inches. The length measures 17 inches what is the width
    8·2 answers
  • Is 0.25 terminating or repeating
    8·1 answer
  • 2t^2+5t+2<br> Does anyone know this?
    10·1 answer
  • What are the coordinates of the point of intersection in the graph?
    5·1 answer
  • Solve the equation below
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!