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
faltersainse [42]
3 years ago
9

Which value of b would make 16x²-bx + 25 a perfect square trinomial?

Mathematics
1 answer:
blondinia [14]3 years ago
8 0

Answer:

b = 40 and -40

Step-by-step explanation:

General form of Perfect square trinomial is a 2 + 2 a b + b 2

Therefore from 16 x 2 − b x + 25 a 2 = √ 16 x 2 , b 2 = 25 , then a = ± 4 x , b = ± 5 take consideration a=4x and b=-5 (different sign), then − b x = 2 ( 4 x ) ( − 5 ) − b x = − 40 x b = 40

The perfect square is ( 4 x − 5 ) 2 = 16 x 2 − 40 x + 25 .

if we consider a=4x and b=5 (same sign), then − b x = 2 ( 4 x ) ( 5 ) − b x = 40 x b = − 40

The perfect square is ( 4 x + 5 ) 2 = 16 x 2 + 40 x + 25 .

The first solution ( 4 x − 5 ) 2 is the best solution after comparing the expression given.  I hope this helps, xx .

You might be interested in
Find Root of:<br>Find √49x25 = ?​
VikaD [51]

Answer:

±35

Step-by-step explanation:

sqrt(49*25)=sqrt(49)*sqrt(25)=±7*±5=±35

7 0
3 years ago
What is the volume of this right rectangular prism?
vfiekz [6]
The volume of this right rectangular prism is 263.52 and it is to the nearest hundredths as a decimal, hope it helps!
8 0
2 years ago
Use the function f(x)=3 sin⁡(xπ/2)+2 to answer parts A - F. Show steps for C, D and E.
Leno4ka [110]
And the steps???????
6 0
2 years ago
How do i solve this in the quadratic formula?
liraira [26]
Firstly mines 2x for 2 side
And combine 1 for 2 side
Result 6x^2+17x+5
So
(3x+1)(2x+5)=0
X=-1/3 or x=-5/2
6 0
3 years ago
Find the value of x, and please use explanation for each answer
Paraphin [41]

Answer:

24; 118; 102

Step-by-step explanation:

Starting from A: there are two ways. One, is a theorem that says "the amplitude of the external angle of a triangle is equal to the sum of the amplitudes of the two angles not sharing the vertex". Which translates to the equation 62= x+(x+14) which has solution x=24°.

Problem B is a red herring: x and 118° are corresponding angles related to the two parallel lines with a transversal, and they have the same amplitude, thus x=118°

Finally, letter C : you know the sum of the internal angles of a triangle is 180°. It means that 41 + 37 + x = 180 or, with simple calculations (subtract 41 and 37 from both sides) x= 102°

3 0
2 years ago
Read 2 more answers
Other questions:
  • A blue die and a red die are thrown. B is the event that the blue comes up with a 6. E is the event that both dice come up even.
    9·1 answer
  • What is the answer to 8×(11+2)
    7·2 answers
  • June has a savings account with an annual simple interest rate of 2.6%. She hopes to gain $6,500 in interest over a period of el
    5·2 answers
  • What's the numerator for the following rational<br> expression?
    12·1 answer
  • What is the answer to this 6.7w- (-3)w = -5?
    13·2 answers
  • Plz help me quick.....................................................
    15·1 answer
  • Solve using the quadratic formula. h2 + 8h + 8 = 0 Write your answers as integers, proper or improper fractions in simplest form
    7·1 answer
  • What expression is equivalent to 14/15
    14·1 answer
  • There are 76,000 acres of state Parkland in Georgia this is 4000 acres more than three times the number of acres of state Parkla
    13·1 answer
  • !!!PLEASE HELPPPPPP ILL DO WHATEVER!!! ILL GIVE &gt;&gt;BRAINLIEST&lt;
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!