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
zubka84 [21]
2 years ago
9

Use Completing the Square to convert from Standard Form to Vertex Form y=x2 – 8x + 14

Mathematics
1 answer:
Leno4ka [110]2 years ago
8 0

Answer:

(x - 4)^2 - 2

Step-by-step explanation:

Step 1: Make sure the coefficient of x^2 is 1

1 [x^2 - 8x + 14]

Step 2: Express the coefficient 8x as (8x multiplied by 1/2) the express the answer as two half's positive and negative squared

1 [x^2 - 8x + (-4)^2 - (-4)^2 + 14]

Step 3: Separate the function into two parts from the negative of the coefficient of 8x (4) solve the part then factorise the other part

1 [ ( x - 4 )^2 - 2 ]

Step 4: Distribute the factor (1)

(x + 4)^2 - 2

You might be interested in
Jim's monthly salary is $1,079.40. His monthly job hours are 140. What is his hourly rate of pay?
alex41 [277]

I'm guessing 7.71

Step-by-step explanation:

1,079.40/140

3 0
2 years ago
Which of these numbers has three significant digits?
liberstina [14]

Answer:

The answer is A. 1.23

hope this helps!

8 0
3 years ago
Read 2 more answers
Use addition to solve the linear system of equations. Include all of your work in your final answer. \(\left\{ \right.\) 3x-y=6
ad-work [718]

Answer:

Solving the given linear system, we get x = 1 and y = -3.

The solution set is: (1,-3)

Step-by-step explanation:

We need to solve the linear system of equations.

3x-y=6 \\y=x-4

We can write second equation y=x-4  as: -x+y=-4

Let:

3x-y=6--eq(1)\\ -x+y=-4--eq(2)

Now, Adding equation 1 and 2

3x-y=6\\ -x+y=-4\\--------\\2x+0y=2\\2x=2\\x=\frac{2}{2}\\x=1

So, we get x = 1

Now, put value of x in second equation to find value of y:

y=x-4\\Put\:x=1\\y=1-4\\y=-3

So, we get y = -3

Solving the given linear system, we get x = 1 and y = -3.

The solution set is: (1,-3)

4 0
3 years ago
Mrs.Johnsons new car has an 18 gallon gas tank. If she can travel 400 miles on one tank of gasoline, what is her miles per gallo
serious [3.7K]

Answer:

22

Step-by-step explanation:

400/18=22.222222222

Round to 22

5 0
3 years ago
a square sandbox has an area of 42 squareft what is the approximate perimeter of the sandbox to the nearest hundredth
Ugo [173]

The area of a square is its side length squared. So the side length of the square squared is 42, so the side length of the square is sqrt(42). The perimeter of the square is 4 times the side length, or 4sqrt(42), which is approximately 25.92.

3 0
3 years ago
Other questions:
  • One side of a kite is 5cm less than 2 times the length of another if the perimeter is 14 cm find the length of each side of the
    7·1 answer
  • 7 1/5 + ( 3 2/5 + 5 4/5 ) =​
    6·2 answers
  • 20 POINTS PLZ HELP!!!
    8·1 answer
  • Click to review the online content.
    7·1 answer
  • Bill wants to purchase some gloves and hats. The gloves cost $12 and a hat costs $8. Bill can spend no more than $56.
    10·2 answers
  • If a suspect is in possession of 20 grams of cocaine how many ounces does he possess? What will be the charge? As a fraction
    12·1 answer
  • Urgent
    14·2 answers
  • How would I solve this. <br> If you answer I will give brainliest.
    5·1 answer
  • A prism has a volume of 225 cubic meters.
    10·1 answer
  • Help asap please geometry
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!