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riadik2000 [5.3K]
2 years ago
11

Two functions f and g are defined on the set R, of real numbers by f : x  2x  3 and

Mathematics
1 answer:
iren2701 [21]2 years ago
3 0

Answer:8

Step-by-step explanation:

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Jason states that Triangle A B C is congruent to triangle R S T. Kelley states that Triangle A B C is congruent to triangle T S
Brilliant_brown [7]

Answer:

The correct option is;

Jason's statement is correct. RST is the same orientation, shape, and size as ABC

Step-by-step explanation:

Here we have

ABC = (2, 1), (3, 3), (4, 1)

RST = (-4, -2), (-3, 0), (-2, -2)

Therefore the length of the sides are as follows

AB = \sqrt{(2-3)^2+(1-3)^2} = \sqrt{5}

AC = \sqrt{(2-4)^2+(1-1)^2} =2

BC = \sqrt{(3-4)^2+(3-1)^2} = \sqrt{5}

For triangle SRT we have

RS = \sqrt{(-4-(-3))^2+(-2-0)^2} = \sqrt{5}

RT = \sqrt{(-4-(-2))^2+(-2-(-2))^2} = 2

ST = \sqrt{(-3-(-2))^2+(0-(-2))^2} = \sqrt{5}

Therefore their dimensions are equal

However the side with length 2  occurs between (2, 1) and (4, 1) in triangle ABC and between (-4, -2) and (-2, -2) in triangle RST

That is Jason's statement is correct. RST is the same orientation, shape, and size as ABC.

4 0
3 years ago
Read 2 more answers
How to write twenty seven billion three million ninety five thousand
Minchanka [31]
1 billion is 1,000 million   1,000,000,000
so 

27,003,095,000
3 0
3 years ago
HELPPP ME FIND THE LETTER CODE PLEASE I DONT WANNA FAIL SUMMER SCHOOL
Arlecino [84]

Answer:

Ian SomerhalderHappy “3rd” Birthday to our smart, energetic, lively and mischievous Carmelo!!!

In these three short years, this little boy has brought so much joy to all of our lives. The one that makes sure we all get our cardio workout in everyday because of his inquisitive self. I would not have it any other way!! Carmelo, thank you for making us COMPLETE! ❤️ May God bless you every day of your life my son!

3 0
2 years ago
Which of the following quartic functions has x=-1 and x=-2 as its only two real zeros
Brums [2.3K]
Quartic is 4th degree
the factors of an equation with roots r1,r2 is
(x-r1)(x-r2)
4th degree
it could be
(x-r1)¹(x-r2)³ or
(x-r1)²(x-r2)² or
(x-r1)³(x-r2)¹


roots or zeroes at x=-1 and x=-2
(x-(-1)) and (x-(-2))
(x+1) and (x+2)

the function could be factored into
(x+1)¹(x+2)³ or
(x+1)²(x+2)² or
(x+1)³(x+2)¹

expanded would be
x⁴+7x³+18x²+20x+9 or
x⁴+6x³+13x²+12x+4 or
x⁴+5x³+9x²+7x+2
one of those is the answer

4 0
3 years ago
Find the least common denominator of 1/6 and 2/7
harina [27]

Answer:

it is it is 42

Step-by-step explanation:

7/42+12/42=19/42

5 0
2 years ago
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