All categories

3 years ago

Solve by completing the square? Could you please work it out step-by-step?

Mathematics

1 answer:

DaniilM [7]3 years ago

4 0

16 n^2 -10n + 129 = 8n^2 -8

We collect the terms:
8n^2 -10n + 137 = 0

The steps for completing the square:

1) Move the "non X" (or "non N") term to the right:

8n^2 -10n = -137

2) Divide the equation by the coefficient of N² which in this case is 8
n^2 -1.2n = -17.125 

3) Take the coefficient of "N"; divide it by 2; square it; add it to both sides of the equation.
-1.2 / 2 = -.6
-.6^2 = .36


n^2 -1.2n +.36 = -17.125 +.36

Take the square root of both sides:
(n-.6)*(n-.6) = sq root( -16.765 )
That's about as far as I can go.

You might be interested in

Aaron says that all

Softa [21]

Answer:

Step-by-step explanation:

Look at the figure attached below, we know that the area of the cone is the sum of area of circle part and cone part of the figure.

to find the surface area of the cone, first measure the radius of the base and find the area of the circle part by formula $\pi r^2$ . Then measure the side (slant height) length of the cone part and find the area of the cone part by the formula $\pi rl$ .

Now the surface area of the cone is circumference of the circle plus area of the cone part.

i.e. $surface\ Area\ of\ the\ cone=\pi r^{2}+\pi rl$

From the above discussion we concluded that surface area of the cone does not depend only on the circumference of the base but also we need side length of the cone part as well thus all cones with a base circumference of 8 inches will not have the same surface area.

5 0

3 years ago

Eloise bought 3 boxes of crackers to share with her friends over the weekend. They ate 1/2 box of crackers on Saturday and 2/3 b

sveticcg [70]

Answer:

C.) 1 5/b boxes

Number of boxes left over

= 3 - 1/2 - 2/3

Convert each fraction to one in terms of the LCM:

= 18/6 - 3/6 - 4/6

= 11/6

= 1 5/6 boxes.

4 0

3 years ago

Helppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

maks197457 [2]

What you must do in this case is to find the roots of the polynomial.
We have then:
x ^ 2 + 20x + 100 = 36
Rewriting:
x ^ 2 + 20x + 64 = 0
The values of the roots are:
x1 = -4
x2 = -16
Remember that the values of the roots are what make the polinome zero
Answer:
x1 = -4
x2 = -16

3 0

3 years ago

As the end of the term approached, Hakim became increasingly anxious about failing calculus and losing his scholarship His best

Alex787 [66]

Answer:

D.Appraisal support

Step-by-step explanation:

Social relationships are upheld through offering social supports with intention of being helpful to the receiver.It can be in form of emotional ., instrumental, informational and appraisal.

In emotional social support, the sender expresses his empathy, love and care to the receiver.Occurs when you give hope to a friend by offering a listening ear.

Instrumental social support involves offering a tangible help or service to the receiver.You can decide to perform dishes while your sister attends a salon appointment to fix her hair.

Informational support is all about giving advise, information and suggestions concerning the issue.

Appraisal social support is where you offer information vital for self-evaluation.For example, Hakim's best friend reminds Hakim that his performance in the previous Calculus exams was good so he should be positive about passing the final exam as it will cover similar topics.

6 0

3 years ago

Find the product. 7. $458.29 × 6.3% 8. $280.12 × 7.75%

miskamm [114]

Answer:

7. 28.8722

8. 21.7093

Step-by-step explanation:

458.29 x .063=28.8722

21.7093 x .0775= 21.7093

6 0

3 years ago