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]
3 years ago
9

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

Mathematics
1 answer:
Leno4ka [110]3 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
28. Express 22.7 : 45.4 as a single decimal
maria [59]

Answer:

0.5

Step-by-step explanation:

22.7: 45.4 = 22.7/45.4

                 = 227/454

                 = 0.5

4 0
3 years ago
Read 2 more answers
The lengths of the sides of triangle ABC are represented in terms of the variable m, where m > 6.
Evgen [1.6K]

Answer: List of the angles from smallest to largest are C, B and A

Step-by-step explanation:

The diagram of triangle ABC is shown in the attached photo. Since none of the sides are equal, then it is a scalene triangle.

From the information given,

AB = m – 2

BC = m + 4

AC = m

It means that the longest side is BC, the medium side is AC and the shortest side is AB. Therefore,

The smallest angle is angle C.

The medium angle is angle B.

The largest angle is angle A

8 0
3 years ago
Read 2 more answers
Need help solving this problem ​
natka813 [3]

Answer:

Part 1: \frac{11-x}{5} or \frac{11}{5}-\frac{x}{5}

Part 2: \frac{9}{5}

Step-by-step explanation:

To start things off, you must put everything on the opposite side of y so that you only have the y variable left.

In this case, put x onto the other side, making it negative since it's flipped, so you get 5y=11-x (since the x is negative you're using subtraction from 11).

Next, divide both sides by 5 to make 5y into y:

\frac{5y}{5} =\frac{11}{5}-\frac{x}{5}

y=\frac{11}{5}-\frac{x}{5}

Then in this case you turn y=f(x), but the system did it for you, so all you have to put is \frac{11}{5}-\frac{x}{5}.

For the second part you must replace x with 2 since you need to find f(2).

\frac{11-2}{5}

Your answer for part 2 is \frac{9}{5}.

3 0
2 years ago
An artist is creating a sculpture where a globe with a diameter of 48 inches sits in a cone like a scoop of ice cream. She wants
brilliants [131]

Answer:

115.2 inches

Step-by-step explanation:

What we must do is calculate the ratio between the real version and the version to be imitated, in this case the ice cream cone.

To calculate the ratio, we will do it through the diameter:

48 / 2.5 = 19.2

So the ratio is 19.2: 1

Which means that one inch of the ice cream cone represents 19.2 inches in the real version.

Therefore, in the case of height it would be:

6 * 19.2 = 115.2

Therefore, the height should be 115.2 inches.

8 0
3 years ago
What is the area of the garden?
REY [17]

Answer:

sorry can't help need the coins

5 0
3 years ago
Other questions:
  • Plz help. What’s the inverse statement
    6·1 answer
  • In the figure, line m is parallel to line n. Name a pair of alternate interior angles.
    5·1 answer
  • Brittany paid a total of $36.00 for 3 pairs of pants. If each pair of pants costs the same amount, what is the price of one pair
    6·2 answers
  • What are the missing numbers?
    9·2 answers
  • If mCDA = 11 , what is mCBA?
    6·2 answers
  • What is the seventh term of an arithmetic sequence represented by the rule A(n) = 9+ (n 1)(-5)?
    9·1 answer
  • Is an isosceles triangle. What is the length of RT? Round to the nearest hundredth.Enter your answer in the box
    5·1 answer
  • Can someone solve 9 = x - 5 + 8 STEP BY STEP PLEASE?
    8·1 answer
  • Solve For X (I could use some help because I'm confused on this)​
    7·1 answer
  • Multiply 5/8⋅4/5.<br> Simplify the answer, if possible. <br> 9/13 <br> 1 1/740 <br> 20/40 <br> 1/2
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!