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3 years ago

F(x) = x^2 +3x-2 F(a) = ? find F(x) for the given domain.

Mathematics

1 answer:

Delvig [45]3 years ago

3 0

Answer:

a^2 +3a-2

Step-by-step explanation:

Given the expression:

g(x) = x^2 +3x-2

We are to find f(a). To get this, we will simply replace x with a in the expression as shown;

g(a) = a^2 +3a-2

hence the required domain is expressed as g(a) = a^2 +3a-2

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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.

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4 years ago

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4 years ago

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angle CBD and angle BFE are congruent because they are corresponding angles.

angle ABF and angle BFE are congruent because they are alternate interior

angles.angle CBD and angle ABF are congruent because they are vertical angles.

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