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
vlabodo [156]
3 years ago
12

Can someone walk me through completing the square with this equation: r^2 + 6r = 16?

Mathematics
1 answer:
Rainbow [258]3 years ago
4 0

Answer:

Roots: 2, -8

Step-by-step explanation:

  • <em>Use of formula: a^2+2ab+b^2= (a+b)^2</em>

<u>Below steps show how to complete square and solve the equation:</u>

  • r^2 + 6r = 16
  • r^2 + 2*3*r = 16                    <em>adding below missing part of equation,  and completing square</em>
  • r^2 + 2*3*r + 3^2= 16+ 3^2
  • (r+3)^2= 25
  • r+3= ± 5
  • r= - 3 ± 5
  • r= 2, r= - 8

<u>Roots are</u> 2 and - 8

You might be interested in
I need help on the first and last one, there the fill in the blank ones
PtichkaEL [24]

Answer:

The sample space (S) that consists of all elements is:

S = {red, red, red, red, white, white, white, white, blue, blue, blue, blue}.

The number of ways (N) that the four letters F, A, I, R can be arranged is:

N = 4 x 3 x 2 x 1 = 24

Hope this helps!

4 0
3 years ago
Determine the equation of a line in standard form that represents Kelsa’s training progress. Her progress corresponds to the poi
UkoKoshka [18]

We first get the gradient of the equation of a line by taking the change in y over change in x

Hence our gradient will be

(6-9.5)/(8-1)=-3.5/7=0.5

Taking an arbitrary point(x,y) and using our gradient we get and one of the points above we get

(y-6)/(x-8)=0.5

y-6=0.5*(x-8)

y-6=0.5x-4

y=0.5x+2 or y=1/2x+2

which is the line of our equation the answer we are asked for.

 

 

<span> </span>

3 0
4 years ago
What is the conditional frequency of a student who rides the bus being late to class first period?
Novosadov [1.4K]

Answer:

1/5

Step-by-step explanation:

The Constraint is ; those who rode the bus, hence it is conditional because we aren't focused on students, only students who rode the bus.

Now we want the frequency of those who were late Given that they rode the bus : for these we have 3 students

Total number of students who rode the bus , total possible outcome = 15

Hence, the conditional frequency = (number who rode bus and were late / otal number who rode the bus)

Hence, we have ; 3 / 15 = 1 / 5

3 0
3 years ago
What would you make the denominator in this equation solution.<br><br> 4x=24
Novosadov [1.4K]

Answer:

6/1

Step-by-step explanation: you divide 24 by 4 therefore leaving the equation x=6 but if you wanted the denominator you would put 24 over 4 and that simplifies to 6/1

8 0
3 years ago
Hays builds model sailboats as a hobby. The dimensions of the sailboats are given. What is the height, x, of the smaller sailboa
Vesnalui [34]
The answer should be 10.5 
3 0
4 years ago
Read 2 more answers
Other questions:
  • Yara saved $440. She spent 3/4 of it on a tablet. How much money did Yara spend on the tablet?
    6·1 answer
  • Alyssa's company makes a profit of $175,000.
    15·1 answer
  • 5. There were some blue marbles and white marbles in a bag.
    8·1 answer
  • A store is having a sale where school supplies are 30% off the original price a backpack is on sale for $11.20 what was the orig
    7·1 answer
  • Each polygon pair is similar. Find the missing side length
    11·1 answer
  • What is the shape 1 circular base and 1curved surface
    12·2 answers
  • In a particular game, a fair die is tossed. If the number of spots showing is either four or five, you win $1. If the number of
    15·1 answer
  • Evaluate the algebraic expression for v= 1 and r = 7<br> 6r - |-8+v|
    10·1 answer
  • Solve 80% of x = 100 or 0.8x = 100
    9·1 answer
  • Please help me with this !!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!