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
andre [41]
3 years ago
6

Find the values of a and b such that x^2-4x+9=(x+a)^2+b

Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0

Answer:

a = -2

b = 5

Step-by-step explanation:

We can identify the right side of the equation as completing the square. So, we simply complete the square for x² - 4x + 9 to find our answer,

Step 1: Isolate xs

x² - 4x = -9

Step 2: Complete the square

x² - 4x + 4 = -9 + 4

(x - 2)² = -5

Step 3: Move -5 over

(x - 2)² + 5

And we have our answer!

You might be interested in
Allison, Brianna, and Celeste went on a hike. Allison brought 9 homemade
poizon [28]

Answer:

Allison = $0.27

Brianna = $1.89

Step-by-step explanation:

The total cookies that the three girls have are:

Allison's cookies + Brianna's Cookies

= 9+15

=24

There is a total of 24 cookies which has to be divided between the 3.

So

Each girl gets 24/3 = 8 cookies.

Since Celeste had no cookies she will have to pay for the 8 cookies.

Allison had 9, she will give one to Celeste

Brianna had 15 out of which she will use 8 for her self and 7 will be given to Celeste.

Celeste is paying 2.16 for 8 cookies.

Price of one cookie = 2.16/8

=$0.27

So, amount that will be given to Allison = 0.27 * 1 = $0.27

Amount that will be given to Brianna = 0.27 * 7 = $1.89

6 0
3 years ago
joe drove 408 miles using 16 gallons of gas at this ratr how many mokrs would he drive using 11 gallons of gas
stiv31 [10]
I was on the right track, lol. 280.5 miles.
7 0
3 years ago
Read 2 more answers
What is the answer to this please help!
Butoxors [25]

z+(-0.72)=-2.5\\\\\text{Step 1}:\ x+(-0.72)+(-0.72)=-2.5+(-0.72)\qquad\text{ERROR}\\\\CORRECT\ IS:\ x+(-0.72)-(-0.72)=-2.5-(-0.72)\\\\\text{Step 2}:\ x=-2.5+0.72\\\\\text{Step 3}:\ x=-1.78


Subtract, not add, -0.72 from both sides.

6 0
3 years ago
Please help ill give brainliest
Olenka [21]
1. y=7/8x +1
2. y=-10x
3. y=2.5x-7
4. y=1.2x
5. y=-5x-8
6 0
2 years ago
Help me please !!!! I need to make sure I am correct with my thinking
Lana71 [14]
1.  Use the Pythagoras theorem
13^2 = x^2 + 5^2
solve for x and youll get the height of the roof.

2.  let x = length of the rpoe)-

x^2 = 9^2 + 12^2

3. Pythagoras again 
20^2 = x^2 + 12^2
7 0
3 years ago
Read 2 more answers
Other questions:
  • 1.Which biotic factors do you see in the photo?
    9·1 answer
  • Ralph opened a savings account with a deposit of $100. Every month after that, he deposited $20 more
    15·1 answer
  • Find four consecutive integers with the sum of -142
    5·1 answer
  • Which expression is equivalent to the given expression? 17x−32x
    13·2 answers
  • How to do I am stuck with the q
    8·1 answer
  • Misty has 10 shirts and 4 pairs of pants. Write the ratio of her shirts to pants in simplest form. 10 to 4 2 to 5 5 to 2 4 to 10
    9·1 answer
  • What is the slope of the line with the equation <br> −1x + 3y = 6
    12·1 answer
  • A system of equations is shown below. y = x 2+ 2x + 8 y = – 4x What is the smallest value of y in the solution set of the system
    7·2 answers
  • At the end of a pizza party, 13 of a cheese pizza and 16 of a pepperoni pizza were left. Brad ate 12 of all the leftover pizza.
    7·1 answer
  • PLSSSSSSSSSSSSSSSSSSSSSSSSSSS HELPPPPPPPPPPPPPPPPPPPPPPPPP
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!