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
Finger [1]
2 years ago
10

Put the equation y = x^2 + 26 x + 160 into the form y = ( x − h )^2 + k :

Mathematics
2 answers:
KATRIN_1 [288]2 years ago
6 0

Put the equation y = x^2 + 26 x + 160 into the form y = ( x − h )^2 + k

Given equation is y = x^2 + 26 x + 160

We apply completing the square method

we take coefficient of middle term and then divide by 2  and then square it

coefficient of middle term is 26

Divide by 2, it becomes 13

then we square it (13)^2 = 169

Add and subtract 169

y = x^2 + 26 x +169 - 169 + 160

y = x^2 + 26 x +169 - 9

y = (x + 13)^2 - 9

We got the equation in vertex form

Alisiya [41]2 years ago
3 0

<u>Answer:</u>

<u>y = (x + 13)^2 - 9</u>

<u>Step-by-step explanation:</u>

To write the given quadratic equation in the form  y = ( x − h )^2 + k, we need to complete the square for the given equation.

y = x^2 + 26x + 160

Shift the constant to the left side of the equation:

y - 160 = x^2 + 26x

Divide the coefficient of x by 2 and add the square of the result to both sides of the equation:

26 / 2 = 13

So adding 13^2 to both sides of the equation to get:

y - 160 + (13)^2 = x^2 + 26x + (13)^2

y - 160 + 169 = (x + 13)^2

y + 9 =  (x + 13)^2

y =  (x + 13)^2 - 9

You might be interested in
Hi my sister is at school so I'm on her account
svlad2 [7]
Yo answer to yo question is d
5 0
3 years ago
Solve for f. show your work! 12=f-13-2
tankabanditka [31]
12=f-13-2
12=f-15
f=27
3 0
3 years ago
Read 2 more answers
Find the distance between the points (-4, -2) and (5, 10). If necessary, round your answer to two decimal places.
NISA [10]
15, if you plot the points, then seperate the x and y into two seperate lines, you can create a 3,4,5 triangle to find the distance between the points.
4 0
2 years ago
Read 2 more answers
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The
jeka57 [31]

The ladder and the outside wall form a right triangle

The length of the ladder is 97.8 feet

<h3>How to determine the length of the ladder?</h3>

The given parameters are:

Distance (B) = 22 feet

Angle of elevation (θ) = 77 degrees

The length (L) of the ladder is calculated using the following cosine ratio

cos(θ) = B/L

So, we have:

cos(77) = 22/L

Make L the subject

L = 22/cos(77)

Evaluate the product

L = 97.8

Hence, the length of the ladder is 97.8 feet

Read more about right triangles at:

brainly.com/question/2437195

3 0
2 years ago
Decomposing to solve 527-139
mars1129 [50]

Answer:

388

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • What the answer and show steps
    15·1 answer
  • Sally's librarian told her that she could increase the size of her vocabulary by spending more time reading. Based on this infor
    15·1 answer
  • Mary creates a table of values for a function and plots the points. She finds that the difference in the y values is the same. W
    14·2 answers
  • {A number line from negative 10 to 10 with tick marks every 1 unit. A closed dot is at negative 3 with a ray pointing left from
    10·1 answer
  • What is the value of h
    10·1 answer
  • A circle has an area of 256 square inches. If the radius of
    9·1 answer
  • F(x)=4x-3, g(x)=10-x<br> Work out gf(x)?
    12·1 answer
  • Write in full text, no files plz.
    15·1 answer
  • Who is the richest president in the world​
    14·1 answer
  • Carmen will spend more than $35 on gifts. So far, she has spent $22. What are the possible additional amounts she will spend?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!