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brilliants [131]
3 years ago
10

PLEASE HELP WOULD REALLY APPRECIATE ITWrite the number in standard form: 9.1×10^-9

Mathematics
1 answer:
MrMuchimi3 years ago
5 0

Answer:

0.0000000091

..............

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Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
Setler79 [48]

Answer:

Therefore values of a and b are

a=3\ and\ b = 2

Step-by-step explanation:

Rewrite x^{2}-6x+7=0 in the form

(x-a)^{2}=b

where a and b are integers,

To Find:

a = ?

b = ?

Solution:

x^{2}-6x+7=0 ..............Given

Which can be written as

x^{2}-6x=-7

(\frac{1}{2} coefficient\ of\ x)^{2}=(\frac{1}{2}\times -6)^{2}=9

Adding half coefficient of X square on both the side we get

x^{2}-6x+9=-7+9=2 ...................( 1 )

By identity we have (A - B)² =A² - 2AB + B²

Therefore,

x^{2}-6x+9=x^{2}-2\times 3\times x+3^{2}=(x-3)^{2}

Substituting in equation 1 we get

(x-3)^{2}=2

Which is in the form of

(x-a)^{2}=b

On comparing we get

a = 3 and b = 2

Therefore values of a and b are

a=3\ and\ b = 2

4 0
3 years ago
HELP 283829 MATH!!!!!!!!!!!!!!
STatiana [176]
For the first one, you're answer would be AC. since C is also a right angle, and angle A is hypnotenuse to C
3 0
4 years ago
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What is a statement of equality?
Tju [1.3M]

Answer:

the equality between A and B is written and pronounced A equals to B

7 0
3 years ago
Craig just purchased a new car. He financed $45000 and must pay it back over 5 years with 11% interest. a) How much will craig h
nignag [31]

Answer:

49950

Step-by-step explanation:

111% of 45000 is 49950

5 0
3 years ago
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Find the coordinates of the midpoint of the segment whose endpoints are H(5, 13) and K(7, 5). (12, 18) (9, 7) (2, 8) (6, 9)
____ [38]

Answer: D. (6, 9)

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

Midpoint is the "average" of the x's and y's:

Given: (5, 13) and (7, 5)

Midpoint: (\dfrac{5+7}{2},\dfrac{13+5}{2})

             = (\dfrac{12}{2},\dfrac{18}{2})

              = (6, 9)

4 0
4 years ago
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