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
Ann [662]
3 years ago
10

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

Mathematics
1 answer:
vekshin13 years ago
6 0

Answer:

a = 1, b = 1

Step-by-step explanation:

Expand the right side and compare the coefficients of like terms on both sides, that is

right side

(x - a)² + b ← expand factor using FOIL

= x² - 2ax + a² + b

Compare to left side x² - 2x + 2

Compare the coefficients of the x- term

- 2a = - 2 ( divide both sides by - 2 )

a = 1

Compare the constant terms

a² + b = 2 ( substitute a = 1 )

1² + b = 2

1 + b = 2 ( subtract 1 from both sides )

b = 1

Thus a = 1, b = 1

You might be interested in
Tyler’s brother works in a shoe store. The store was selling a pair of shoes for $80. They now are on sale for $50. What is the
DerKrebs [107]

Answer:

i think its 37.5%. let me know if its correct or not

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The three angle bisectors of ΔABC intersect at point P. Point P is the
lisabon 2012 [21]
<h3>Answer: C) incenter</h3>

========================================

Explanation:

If you were to intersect the angle bisectors (at least two of them), then you would locate the incenter. The incenter is the center of the incircle which is a circle where it is as large as possible, but does not spill over and outside the triangle. Therefore this circle fits snugly inside the triangle.

--------------

extra notes:

* The centroid is found by intersecting at least two median lines

* The circumcenter is found by intersecting at least two perpendicular bisector lines

* The orthocenter is found by intersecting at least two altitude lines

* The incenter is always inside the triangle; hence the "in" as part of the name. The centroid shares this property as well because the medians are completely contained within any triangle. The other two centers aren't always guaranteed to be inside the triangle.

* The red lines cut each angle of the triangle into two equal or congruent pieces.

5 0
3 years ago
How do you solve 5y+34=-2 (1-7y)
sergiy2304 [10]
You just kind of do it
6 0
3 years ago
Read 2 more answers
PLEASE HELP! SERIOUS ANSWERS ONLY! [99 POINTS]
Gekata [30.6K]
Well if its exponential it must be x ^n

7 0
4 years ago
Read 2 more answers
Find the retail price original price: 119.00; Markdown: 70%
12345 [234]
First you substitute into the equation is/of=%/100. By that, I mean, 119/x=70/100. Cross multiply to get 119(100)=70x. Solve for x=170
4 0
4 years ago
Read 2 more answers
Other questions:
  • the scientist conducted experiments in which the record surface temperature of sunglasses have been heated the table shows the i
    10·1 answer
  • Opls help me fasttt plasee
    10·1 answer
  • Which of the following is the multiplicative inverse of 2x?<br> 1/2 X<br> -1/2 X<br> -2x<br> 2x
    15·1 answer
  • Write expression below. Subtract 5 from 13 and then divide the difference by 9
    12·2 answers
  • Which statement describes the graph of f(x) = -x^4 + 3x^3 +10x^2
    12·1 answer
  • What are the factors of 24
    11·2 answers
  • Matt needs to put a fence around a garden in his backyard. The perimeter is 104 meters. The length is 6 meters more than the wid
    9·1 answer
  • A container is in the shape of a rectangular prism with a square base. It has a volume of 99 cubic inches and a height of 11 inc
    6·1 answer
  • Joy is reading a 352-pagenovel forher summer reading prodject on monday she reads 3/8 of the novel on tuesday she reads 28 pages
    10·2 answers
  • A rectangle has vertices (–1, 1), (–4, 1), (–1, 3), and (–4, 3). If the rectangle is reflected over the y-axis, what algebraic r
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!