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
irinina [24]
3 years ago
11

Convert to vertex form: f(x) = x2 + 16x + 64

Mathematics
1 answer:
GuDViN [60]3 years ago
7 0

Answer:

Step-by-step explanation:

hello :

note : the vertex form is :

ax²+bx+c = a(x+(b)/(2a))²-  delta/4a²   and   delta = b²- 4ac

in this exercice you have : a =1    b = 16   and  c=64

continu ..........

You might be interested in
Triangle ABC has perimeter 22cm
ASHA 777 [7]

9514 1404 393

Answer:

  not a right triangle

Step-by-step explanation:

The perimeter is 22, so we have ...

  AB +BC +CA = 22

  8 + 5 + CA = 22

  CA = 22 -13 = 9

If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.

  AB² +BC² = 8² +5² = 64 +25 = 89

This is not the same as ...

  CA² = 9² = 81

The triangle is not a right triangle.

_____

<em>Additional comment</em>

If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)

6 0
3 years ago
If f(x)=-5x +2 and g(x)=1/2x +4, find f(g(-6)).
ss7ja [257]

Answer:

-3

Step-by-step explanation:

Set up the composite function and simplify.

8 0
3 years ago
Every chemical element goes through natural exponential decay, which means that over time its atoms fall apart. The speed of eac
Lesechka [4]

Answer:

Q(t) = 800e^{-0.0495t}

Step-by-step explanation:

The amount of the isotope after t seconds is given by the following exponential equation:

Q(t) = Q(0)e^{-rt}

In which Q(0) is the initial amount and r is the decay rate.

A sample of beryllium-11 was first measured to have 800 atoms.

This means that Q(0) = 800

The half-life of the isotope beryllium-11 is 14 seconds.

This means that Q(14) = 0.5Q(0)

We use this to find r.

Q(t) = Q(0)e^{-rt}

0.5Q(0) = Q(0)e^{-14r}

e^{-14r} = 0.5

\ln{e^{-14r}} = \ln{0.5}

-14r = \ln{0.5}

r = -\frac{\ln{0.5}}{14}

r = 0.0495

So

Q(t) = Q(0)e^{-rt}

Q(t) = 800e^{-0.0495t}

8 0
4 years ago
EASY POINTS!!!!!
expeople1 [14]

Answer:

15 - 4 = 11

Step-by-step explanation:

that's literally all it is-

7 0
3 years ago
5/16 ÷ 5/12
harkovskaia [24]

Answer:

1.) 3/4

2.) 44/5 or 8 4/5

3.) 17/6 or 2 5/6

Step-by-step explanation:

1.) 5/16 ÷ 5/12

To divide a fraction by another fraction, reciprocate (put the numerator to denominator and vice versa) the divisor then change the sign to multiplication:

5/16 × 12/5

5 × 12 / 16 × 5

Cancel out 5 since both numerator and denominator has it:

12 / 16

Divide both by 4:

12 ÷ 4 / 16 ÷ 4

3/4

2.) 3 1/5 • 2 3/4

You have to convert the fractions first to improper fractions by multiplying the denominator to the whole number then adding the numerator to the product:

3 1/5 = 3×5 + 1 = 16/5

2 3/4 = 2 × 4 + 3 = 11/4

Now you can multiply the numerator to numerator then denominator to denominator:

Since 16 is a factor of 4, you can cancel it out, which leaves 4:

16 / 5 × 11/4

4 × 11 / 5 × 1

44/ 5

3.) 6 3/8 ÷ 2 1/4

Convert to improper fraction:

6 3/8 = 6× 8 + 3 = 51/8

2 1/4 = 4 × 2 + 1 = 9/4

(51 × 4)/ (9×8)

51 × 1/ 9× 2

51 / 18

Divide by 3:

17/6

4 0
4 years ago
Other questions:
  • Acute obtuse or right
    9·2 answers
  • 5. What type of function models each of the following scenarios? Chooses from linear, exponential growth, and exponential decay.
    13·1 answer
  • Mrs. Hall has seen 15 girls and 10 boys walk by her classroom between will periods. What is the probability that the next person
    13·1 answer
  • Please help me with with question. Please
    14·1 answer
  • 15. Preliminary plans are underway for construction of a new stadium for a major league base ball team. City officials question
    5·1 answer
  • What is -7v 5≥-79. solve algebraically.?
    7·1 answer
  • e) The diagonal of square A, marked off by the red stars, is where the concession stand is located. A local high school band is
    12·2 answers
  • Which statement is true regarding the functions on the graph?
    9·2 answers
  • HELPPPPPPPPPP!!!!!!!!!!!!!!!!!!!! will give you a brainliest
    6·1 answer
  • In your own words describe how you would find the volume of a<br> figure using unit cubes?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!