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
Deffense [45]
3 years ago
11

Ariel completes the square for the equation x2 - 16x + 17 = 0. Which of the following equations reveals the vertex of the parabo

la?
A.y = (x - 4)^2 - 47
B.y = (x - 9)^2 - 47
C.y = (x - 6)^2 - 45
D.y = (x - 8)^2 - 47
Mathematics
2 answers:
stealth61 [152]3 years ago
8 0
X² - 16x + 17 = 0
x² - 16x + 8² - 8² + 17 = 0
(x - 8)² - 64 + 17 = 0
(x - 8)² - 47 = 0 

-----------------------------------------------------------------------------------------
Answer: y = (x - 8)² - 47 (Answer D)
-----------------------------------------------------------------------------------------

julsineya [31]3 years ago
8 0

Answer:

Option D is correct

y = (x-8)^-47

Step-by-step explanation:

A quadratic equation is in the form of y=ax^2+bx+c,

then the vertex form of the quadratic equation using the completing square method is given as:

y =(x-h)^2+k where, vertex = (h, k)

As per the statement:

Ariel completes the square for the equation: x^2-16x+17 = 0

Using completing square method:

1.

subtract 17 from both sides we have;

x^2-16x = -17

2.

Complete the square on the left side of the equation and balance this by adding 8^2 = 64 to the right side of the equation.

then;

x^2-16x+8^2= -17+64

Using identity rules on left side:

(a-b)^2 = a^2-2ab+b^2

then;

(x-8)^2 = 47

we can write this as:

y = (x-8)^-47

Therefore, the equations reveals the vertex of the parabola is, y = (x-8)^-47

You might be interested in
Yesterday 5% of the 120 sixth graders at school were late. How many sixth graders were late?
attashe74 [19]

Answer:

6

Step-by-step explanation:

5% of 120 were late

= \frac{5}{100} × 120

= 0.05 × 120

= 6

6 0
2 years ago
Natalie started babysitting to earn money. The first week, she earned $10. Each additional week, Natalie earned $5 more than the
Evgesh-ka [11]

Answer:

x value: start with 0 and go up by 1

y value:start with 10 and each week is 5 more than previous week

Step-by-step explanation:

5 0
2 years ago
This table shows the scores that Jack had on his last five science tests.
arlik [135]

Answer:

the answer is B the mean can't be greater than the median

8 0
2 years ago
How much more pizza did Scott eat than owen???
babymother [125]

Answer:

3

Step-by-step explanation:

9/16 - 3/4

First make these fractions have the same denominator which in this case will be 16 so the equation will be 9/16- 12/16 and 12-9= 3 so therefore Scott ate 3 more pizzas than Owen

4 0
3 years ago
Read 2 more answers
0. The weight of an object on the Moon is about 16.5% of its weight on Earth. The weight of an astronaut on the Moon is 24.75 po
Setler79 [48]

Answer: 150 pounds

Step-by-step explanation:

Let the the astronaut weight on Earth be represented by x.

Based on the information given in the question, thus can be formed into an equation as:

16.5% of x = 24.75

16.5% × x = 24.75

16.5/100 × x = 24.75

0.165x = 24.75

x = 24.75/0.165

x = 150 pounds

The astronaut weigh 150 pounds on Earth.

3 0
2 years ago
Other questions:
  • 3. In class today, 1/4 of the students wore shorts and
    5·2 answers
  • The sum of the EXTERIOR angles of a pentagon equals 360°. <br> True <br> False
    5·2 answers
  • Hawick is 15 kilometers south of Abbotsford, and Kelso is 17 kilometers east of Abbotsford.
    13·1 answer
  • (WILL MARK BRAINLIEST AND THANK YOU!!)
    12·1 answer
  • You flip a coin and what is p (not tails
    9·2 answers
  • Describe the end behavior of the following function: <br> F(x)=x^5-x^3+x^2
    15·2 answers
  • Write in your notebook each of the following rational numbers in decimal form:
    8·1 answer
  • 2 (t+5) &gt; 4t-7 (t+3)
    12·2 answers
  • According to company records, 128 of 460 employees purchase health insurance through the company. The chief human resources offi
    12·1 answer
  • Solve the equation by completing the square
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!