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
Burka [1]
3 years ago
13

Help i’m timed pllzzzzz

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
7 0

Answer:

a = p*q\\b = (p*s)+(q*r)\\c = r*s

Step-by-step explanation:

The standard form of trinomial is given as:

ax^2+bx+c

And the factored form is:

(px+r)(qx+s)

In order to find the values of a,b and c in terms of p,q,r and s we will take the factored form, multiply it and then compare it with the standard form.

So,

(px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs

Now comparing it with the standard form of trinomial

We will compare the co-efficients of x^2, x and the constant

By comparing, we get

a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s

Hence,

a = p*q\\b = (p*s)+(q*r)\\c = r*s

You might be interested in
Solve the quadratic.<br><br><br> 4x^2+4-20=0<br><br><br><br><br> brainlist if you explain
frez [133]

Answer:

  • x = -1/2(1 +√21) ≈ -2.79129
  • x = -1/2(1 -√21) ≈ 1.79129

Step-by-step explanation:

We assume the middle term is supposed to be 4x.

We can remove a common factor of 4 to simplify this a bit.

  x^2 +x -5 = 0

This is of the form

  ax^2 +bx +c = 0

where a=1, b=1, c=-5.

__

The <em>quadratic formula</em> gives the solutions as ...

  x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

Filling in the given coefficients, we have ...

  x = (-1 ±√(1^2 -4·1·(-5)))/(2·1)

  x = (-1±√21)/2

The solutions are x = -1/2(1 +√21) and -1/2(1 -√21).

_____

<em>If what you wrote is what you intend</em>, then the equation simplifies to 4x^2 -16 = 0.

Dividing by 4 and factoring the difference of squares gives ...

  x^2 -4 = 0

  (x -2)(x +2) = 0

These factors are zero (hence their product is 0) for the values x = 2 and x = -2.

The solutions are x=2 and x=-2.

5 0
3 years ago
5/6 of 15 i need help????????????
emmainna [20.7K]

Answer: 12.5 or 12 1/2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is 6+3(-8x-2)=12
aleksandr82 [10.1K]

Answer:

6 + 3 (-8 x -2)

Step-by-step explanation:

6 + 3 (-8 x -2)

= 6+3 ( 16 )

= 9 ( 16 )

= 144

3 0
3 years ago
Write in standard form Thirty Two Thousand, four hundred ninety one
vekshin1

Answer:

32,491

Step-by-step explanation:

Thirty Two Thousand, four hundred ninety one = 32,491

7 0
3 years ago
Sharon hits a golf ball off the ground. The function h represents the height of the golf ball, in feet, t seconds after it is hi
Ulleksa [173]

Answer:

The golf ball will be on the ground at 0 and 6 seconds.

Step-by-step explanation:

Just took the test on Plato

6 0
3 years ago
Other questions:
  • A rectangular park is 600 m long and 300 m wide. you walk diagonally across the park from corner to corner. how far do you walk,
    8·1 answer
  • The expression 3a + 2b + c / d gives the average number of points a team earns in d games by winning a games in regulation, b ga
    13·1 answer
  • Marigold Industries collected $104,000 from customers in 2019. Of the amount collected, $24,400 was for services performed in 20
    6·1 answer
  • Need answer now !!
    6·2 answers
  • The winner of a raffle will receive 3/4 of the money raised from raffle ticket sales. The raffle raised $530.40. How much money
    12·1 answer
  • How much will $1000 deposited in an account earning 7% interest compounded annually be worth in 20 years? (which formula do I us
    15·1 answer
  • Find the product of the greatest common divisor and the least common multiple of $100$ and $120.$
    5·1 answer
  • Hey can you please help me posted picture of question
    8·2 answers
  • Advandia is a drug used to treat diabetes, but it may cause an increase in heart attacks among a population already susceptible.
    9·2 answers
  • The function y = 3x - 6 is defined for all values of y less than 12. Determine the value of x that corresponds to the upp
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!