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
Anestetic [448]
3 years ago
6

What value of b makes the trinomial below a perfect square x^2-bx+100

Mathematics
1 answer:
Aloiza [94]3 years ago
6 0
1. Perfect square trinomials, are 2nd degree polynomials, of the form          a x^{2} +bx+c so that a \neq 0, b \neq 0, c \neq 0, which can be written as perfect squares.

2. For example (x+1) ^{2} = x^{2} +2x+1
 
(3x-1)^{2}= (3x)^{2}-2(3x)+(-1) ^{2}= 9x^{2}-6x+1    


3. Thus x^{2} +2x+1, 9x^{2}-6x+1 are perfect square trinomials.

4. x^{2} -bx+100= x^{2} -bx+ 10^{2}= (x+10)^{2}   or  (x-10)^{2}

5. In the first case -b=20, so b=-20. In the second case, -b=-20, so b=20.

6. b∈{-20, 20}
You might be interested in
What's bigger 12.5 or 3/20 ??
LiRa [457]
12.5 is bigger. 
Because if we convert the fraction of 3/20 to normal numbers is equal to 0.15. <span>and</span> 12.5 is way bigger than 0.15 :3
Hope it helped.
7 0
3 years ago
Read 2 more answers
-8 x+3=-29 what is x?
kykrilka [37]

Answer:

x=4

Step-by-step explanation:

To solve for x, use inverse operations:

-8x+3 = -29               Subtract 3 from both sides

-8x +3 -3 = -29 -3

-8x = -32                    Divide both sides by -8

x = 4

3 0
3 years ago
Una bolsa contiene 4 canicas azules, 4 canicas rojas y 4 canicas verdes. Sacas aleatoriamente una canica y luego otra (sin reemp
sveticcg [70]

Answer:

la probabilidad es 1/11

Step-by-step explanation:

Hay 4+4+4 = 12 canicas en total en la bolsa.

Pues la posibilidad de sacar una canica azul en el principio es 4/12 o 1/3.

Y luego, no reemplaces la canica, y hay 11 canicas en total.

Por eso la posibilidad de sacar otra canica azul después es 3/11.

Son eventos independientes, y tenemos que multiplicarlos para tener la respuesta.

1/3 * 3/11 = 1/11

8 0
3 years ago
Read 2 more answers
How do you solve 2 3/4 +6
vagabundo [1.1K]
This is a picture of how you solve the equation

4 0
3 years ago
A number line shows the integers from -20 to 20 Describe where you would plot -30 +6.2
Alchen [17]

Answer:

12rt2y3heheu3g6je4uf

7 0
3 years ago
Other questions:
  • A circular pan has a diameter of 14 cm and a height of 17 cm how much water will it take to fill the pan
    11·2 answers
  • Connie made deposits of $2000 at the beginning of each year for four years. The rate she earned is 5% annually. What is the valu
    11·1 answer
  • Plz help me solve this problem i think its a but not sure plz help me...<br><br> look at pic
    8·2 answers
  • Find the perimeter of the triangle with coordinates A(5,2), B(5,4), and C(1,1). Round to the nearest tenth.
    8·1 answer
  • What percent is equal to 7/25​
    8·1 answer
  • Claim: Fewer than 94​% of adults have a cell phone. In a reputable poll of 1004 ​adults, 86​% said that they have a cell phone.
    10·1 answer
  • A triangle has sides with lengths 10 inches, 14 inches, and 17 inches. is it a right triangle
    13·1 answer
  • The probability distribution for a
    14·1 answer
  • Σ^30 (3n + 7) - [?]<br> 1​
    10·1 answer
  • pablos pizza shop made a profit of $495 each day for 12 days. what is the total profit for all 12 days
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!