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Ann [662]
2 years ago
10

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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Marina CMI [18]

Answer:

b=4.9

C. is the correct option.

Step-by-step explanation:

In triangle TGN,

Let <RTG be x

cosx= b/h

or, cosx = 2/a

Again,

In triangle TRG,

cosx = b/h

(for bigger right angled triangle)

cosx = a/(4+2)

cosx = a/6

Now

cosx = 2/a = a/6

or, 2/a = a/6

or, 12 = a²

so, a² = 12

Now,

For TRG,

h² = p²+b²

or, 6² = b² + a²(a²=12)

or, 6² = b² + 12

or, 36 = b² + 12

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or, b² = 24

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7 0
2 years ago
3 equivalent ratios for 1/10
nataly862011 [7]

Answer:

So just as a fraction of 3/30 can be simplified to 1/10, a ratio of 3:30 (or 4:40, 5:50, 6:60 and so on) can be simplified to 1:10.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is 1+1+4+^6+7+5+2+1+1+1
g100num [7]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>4115</em>

▹ Step-by-Step Explanation

1 + 1 + 4⁶ + 7 + 5 + 2 + 1 + 1 + 1

1 + 1 + (2²)⁶ + 7 + 5 + 2 + 1 + 1 + 1

= 4115

Hope this helps!

CloutAnswers ❁

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7 0
3 years ago
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A certain triangle has two 45° angles. What type of triangle is<br> it?
wariber [46]

Answer:

an acute triangle

Step-by-step explanation:

an acute triangle has angles that are less than 90 degrees

right triangles have a right angle

obtuse triangles have angles greater than 90 degrees

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3 years ago
Ecd is a ___of abc cross line p
Rama09 [41]
The answer might be slope.
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3 years ago
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