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2 years ago

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

Mathematics

1 answer:

vekshin12 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

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MatroZZZ [7]

Step-by-step explanation:

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3 years ago

A cone and its dimensions are shown in the diagram. Which measurement is closest to the volume of the cone in cubic inches?

Diano4ka-milaya [45]

20 Cubic Inches^3.

Explanation:

The volume of a cone is Pi*R^2*H*1/3

We know the height, but we are given the diameter instead of radius. So divide 5.625 by 2. You get 2.8125.

Plug everything into the formula.

Pi*2.8125^2*7.5*1/3

(The ^2 means squared, or to the second power)

You get a number close to 20. Since we don’t know Pi, and we are not given a substitute for Pi, we make the answer in terms of Pi.

20 Cubic Inches^3.

Also, people who don’t know the answers to questions shouldn’t just put a random answer for the points. It’s unfair.

3 0

3 years ago

PLEASE HELP ME I WILL MARK YOU!!!!!!!!!

katrin2010 [14]

its C michael jogs 20 miles in 10 days.

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2 years ago

Read 2 more answers

the circumference of a circle is about 25.3 in find the area of the circle using 3.14 as an approximation for pie.Round your ans

sertanlavr [38]

<span>50.962 is answer m8t</span>

3 0

2 years ago

Gabriella plays video games from 2:49 P.M. To 3:32 P.M. Mason plays video games for 35 minutes. How many minutes longer does Gab

Mekhanik [1.2K]

Answer:

Mizuki here to help!

8 minutes longer will be the correct answer!

Step-by-step explanation:

First, let's find out how many minutes Gabriella played:

3:32 - 2:49 = 2:92 - 2:49 = 0:43

Check:

2:49 + 0:43 = 2:92 = 3:32

It's correct so...

43 - 35 = 8

Hope this helped!

3 0

3 years ago