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
katen-ka-za [31]
3 years ago
15

Solve the quadratic equation x2 + 14x = 51 by completing the square.

Mathematics
1 answer:
tankabanditka [31]3 years ago
4 0

Answer:

B

Step-by-step explanation:

Given

x² + 14x = 51

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(7)x + 49 = 51 + 49 , that is

(x + 7)² = 100 ( take the square root of both sides )

x + 7 = ± \sqrt{100} = ± 10 ( subtract 7 from both sides )

x = - 7 ± 10

Thus

x = - 7 - 10 = - 17

x = - 7 + 10 = 3

You might be interested in
A circular disc has a circumference of 16pi meters. if we multiply the radius of the circular disc is by 10, what is the circumf
Flauer [41]

The circumference of the new disc 160Π that is 10 time of old circumference.

Step-by-step explanation:

Given,

Circumference of circular disc = 16Π (pi = Π)

Let, the radius of the circle be 'r'

Formula

The circumference of a circle with r radius = 2 Π r

According to the problem,

2 Π r = 16Π

or, 2r = 16 ( by eliminating the value of Π from both the side)

or, r = 8

Now, we multiply the radius by 10

so, the new radius is 8 X 10 = 80

Now the circumference = 2 Π X 80

= 160Π

Hence, the new circumference also will be 10 times of the older one.

6 0
3 years ago
Find the simple interest on 500 at 6% for 1 year
ololo11 [35]

Answer:

Interest = $30

Step-by-step explanation:

Formula:

I = prt or I = p · r · t

So:

I = p r t

I = ($500)(.06)(1) <--- Just multiply all of these numbers and you get the final answer of:

Interest = $30.00 or just $30

8 0
3 years ago
Finding the geometric mean
grigory [225]

Answer:

To find the geometric mean of two numbers, just find the product of those numbers and take the square root!

Step-by-step explanation:

4 0
2 years ago
Debra has two-thirds of a pound of loose green tea leaves. If she wants to keep one-half of the tea at home and the other half a
MrMuchimi

Answer: <em>I would personally say 1/3</em>

7 0
2 years ago
Find the domain of the graphed function
Natasha2012 [34]
The answer is D because the two points are in x-value -1 and 3
5 0
3 years ago
Other questions:
  • Each student in a course needs to submit 3 lab assignments and take 2 tests. Design a program to do the following. Ask the user
    9·1 answer
  • if one store is selling 3/4 of a bushel of apples for nine dollars and another store is selling 2/3 of a bushel of apples for ni
    8·1 answer
  • If 60 lbs of force must be applied to the valve for it to open, how much upward force must push rod X apply for the valve to ope
    7·1 answer
  • How do you make system equations from a word problem?
    12·1 answer
  • Plz I don’t get this question your suppose to find the area
    13·1 answer
  • If<br> R = (5+T)P/3<br> then what is p?
    8·1 answer
  • Mary Ann and Abigail were shopping for prom shoes and wondered how the prices at Payless compared to the prices at Famous footwe
    14·1 answer
  • FAST
    14·1 answer
  • HELP ME PLEASEEEE!!!!
    15·1 answer
  • Why do I cry when I listen to juice wrld?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!